Question Tag: Probability

Search 500 + past questions and counting.

QTB – May 2017 – L1 – SB – Q4b – Operations Research

Identify non-basic variables in a transportation model and calculate the probability of a specific event in random disk selection.

Question

i. Given the following initial basic tableau of a transportation problem:

Identify the non-basic variables and compute their corresponding
relative cost coefficients. (4marks)

ii. A bag contains 39,800 white disks and 200 black disks from which
1,000 disks are taken at random. Calculate the probability that the
sample contains 4 black disks. (6marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Non-basic Variables, Probability, Random Sampling, Relative Cost Coefficients, Transportation Problem
Level: Level 1

Topic: Operations Research
Series: MAY 2017

QTB – May 2017 – L1 – SB – Q4a – Statistics

Calculate the proportion of damaged blocks and the probability of taking a damaged block from a specific lorry using a tree diagram.

Question

a. A fleet of lorries A, B, and C are loaded with blocks meant for a building site.
Lorry A carries of all the needed blocks, B carries of what lorry A carries, and lorry C carries the rest. Lorries A, B, and C contain 13%, 15%, and 11% damaged blocks, respectively.

By drawing a suitable tree diagram, calculate:
i. The proportion of damaged blocks in the fleet. (8 Marks)

ii. The probability of randomly taking a damaged block from lorry B. (2 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Damaged Blocks, Probability, Tree Diagram
Level: Level 1

Topic: Statistics
Series: MAY 2017

QTB – May 2017 – L1 – SB – Q2a – Statistics

Probability calculations for dice roll and random sampling in block production.

Question

i. A six-sided and fair die is thrown into the air. What is the probability:

Of NOT getting a SIX?
That either a THREE, a FOUR, or a FIVE will fall uppermost?
Of obtaining an even number?
(5 Marks)

ii. A block-making factory produces TWO types of blocks: 6-inch and 9-inch. ONE quarter of its output on a particular day are 6-inch blocks, while the remaining three-quarters are 9-inch blocks. If samples of 3 are taken at random, what is the probability of obtaining:

One 6-inch block?
Two 6-inch blocks?
One or two 6-inch blocks?
(5 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Block Manufacturing, Dice, Probability, Sampling
Level: Level 1

Topic: Statistics
Series: MAY 2017

QTB – May 2017 – L1 – SA – Q16 – Statistics

This question asks to identify a false statement about normal distribution.

Question

Which of the following is NOT TRUE about Normal Distribution?
A. Normal distribution is a frequency distribution.
B. Both tails of the distribution approach but never meet the horizontal axis.
C. It is a probability distribution of a continuous variable that fits many naturally occurring distributions.
D. The exact shape of the normal curve depends on the mean of the distribution.
E. The area under the normal curve represents the probability and totals 1 or 100%.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Statistics, Normal distribution, Probability
Level: Level 1

Topic: Statistics
Series: MAY 2017

QTB – May 2017 – L1 – SA – Q15 – Statistics

This question involves calculating the probability that a defective item is from process B.

Question

A large batch of components of TV sets is stocked by a company. The batch comprises components that are manufactured by processes A, B, and C. There are twice as many components from process A as from each of processes B and C in a batch. Components from A contain 8% defectives, and those from B and C contain 11% and 14% defectives respectively.
The probability that a defective item is from process B is:
A. 0.228
B. 0.238
C. 0.248
D. 0.258
E. 0.268

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Mathematics, Defective Items, Probability
Level: Level 1

Topic: Statistics
Series: MAY 2017

QTB – May 2017 – L1 – SA – Q13 – Statistics

This question calculates the probability of rolling either a four or a six on a six-sided die.

Question

A six-sided die is thrown into the air, the probability that either a FOUR or a SIX will fall upper most is:

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Mathematics, Dice, Probability
Level: Level 1

Topic: Statistics
Series: MAY 2017

QTB – Nov 2014 – L1 – SA – Q3 – Probability

Determines the probability that daily sales exceed a specified value, given a normal distribution with known mean and standard deviation.

Question

The daily sales figures of a supermarket follow a normal distribution with a mean of N60,000 and a standard deviation of N14,000. Find the probability that the sales figure of a certain day exceeds N46,000.
A. 0.1587
B. 0.1590
C. 0.8413
D. 0.8415
E. 0.8423

Answer

Find Related Questions by Tags, levels, etc.

Tags: Normal distribution, Probability, Sales Data
Level: Level 1

Topic: Probability
Series: NOV 2014

QTB – Nov 2014 – L1 – SA – Q2 – Probability

Determines the probability that a customer does not receive a mutilated note from the cashiers.

Question

The following tree diagram shows the scenario with two paying cashiers (C1 and C2) at a Microfinance Bank where M represents mutilated notes and N represents new notes:

he probability that a customer of the bank does not receive a mutilated note is:
A. 0.1125
B. 0.8725
C. 0.8875
D. 0.8525
E. 0.8850

Answer

Find Related Questions by Tags, levels, etc.

Tags: Cashiers, Mutilated Notes, Probability, Tree Diagram

Topic: Probability
Series: NOV 2014

QTB – Nov 2014 – L1 – SA – Q1 – Probability

Determines the correct definition of mutually exclusive events.

Question

Two events are said to be mutually exclusive if
A. The occurrence (or non-occurrence) of one event does not affect the occurrence (or non-occurrence) of the other event
B. Both events can occur simultaneously
C. The occurrence of one event precludes the occurrence of the other event
D. Both are impossible events

Answer

Find Related Questions by Tags, levels, etc.

Tags: Mutually Exclusive Events, Probability, Statistics
Level: Level 1

Topic: Probability
Series: NOV 2014

QTB – May 2016 – L1 – SB – Q5b – Statistics

This question involves calculating the probability of a bag of Pando Yam weighing less than a specified value using the normal distribution.

Question

The weights of bags of Pando Yam produced by Swallow Company Limited are normally distributed with a mean of 3,020 grams and a standard deviation of 4 grams.

Required:
i. If a bag is picked at random, what is the probability that it weighs:

Less than 3,012 grams? (4 marks)
ii. Between 3,012 grams and 3,021.6 grams? (6 marks)
Show all the relevant normal distribution diagrams.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Normal distribution, Pando Yam, Probability, Z-scores
Level: Level 1

Topic: Statistics
Series: MAY 2016

QTB – May 2016 – L1 – SB – Q4a – Statistics

This question involves calculating expected returns from a gambler’s game of chance based on different scenarios.

Question

A gambler plays a game of chance in which he has a 60% chance of winning. If he wins, he collects N1,800, but if he loses, he pays N2,300.

Required:
i. Obtain the sample spaces respectively for 12 games and 14 games.
(2 marks)

ii. Calculate his expected returns for 12 games and 14 games.
(6 marks)

iii. Advise the gambler if he initially staked N1,000.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Decision Making, Expected Returns, Game of Chance, Probability
Level: Level 1

Topic: Statistics
Series: MAY 2016

QTB – May 2016 – L1 – SA – Q18 – Statistics

Calculating the probability of total sales of 6 in two consecutive days given daily sales probabilities.

Question

The daily sales record of a company with their corresponding probabilities are tabulated as follows:

The probability of total sales of 6 in two consecutive days is

A. 0.1039
B. 0.1309
C. 0.1930
D. 0.3019
E. 0.3109

Answer

Find Related Questions by Tags, levels, etc.

Tags: Compound Events, Probability, Sales Forecasting
Level: Level 1

Topic: Statistics
Series: MAY 2016

QTB – Nov 2015 – L1 – SB – Q4 – Statistics

Calculate probabilities related to defective items using a tree diagram for a production company with three lines.

Question

A production company has three production lines $L_1$ , $L_2$ , and $L_3$ .

The table below shows the percentage of items produced and percentage of defective items from each line:

Production Line	Percentage Produced (%)	Percentage Defective (%)
$L_1$	35	4
$L_2$	25	2
$L_3$	40	3

You are required to:

a. Draw the tree diagram for the production company. (7 Marks)

b. Use your tree diagram to obtain the probability that:

The company produces defective items. (8 Marks)
If there is a defective item from the company, it is either from $L_1$ or $L_3$ . (5 Marks)

(Total: 20 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Defective Items, Probability, Production Lines, Tree Diagram
Level: Level 1

Topic: Statistics
Series: NOV 2015

QTB – May 2015 – L1 – SB – Q5a – Statistics

This question involves calculating the probabilities of various scenarios of success for two independent businesses using probability theory.

Question

a. The probability that business A succeeds is 0.65 while the probability that business B
succeeds is 0.75. If the successes of the two events are independent, obtain the
probability that
i. either business A or business B or both businesses succeed (4 Marks)
ii. only one of the businesses succeeds (3 Marks)
iii. none of the two businesses succeed (3 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Success, Independent Events, Probability
Level: Level 1

Topic: Statistics
Series: MAY 2015

QTB – Nov 2015 – L1 – SA – Q11 – Statistics

This question calculates the area under the normal curve based on the given Z-score.

Question

If the z-score for a normal distribution is 1.89, then the area under the normal curve to the right of z is:

A. 0.02
B. 0.03
C. 0.04
D. 0.47
E. 0.97

Answer

Find Related Questions by Tags, levels, etc.

Tags: Normal distribution, Probability, Z-Score
Level: Level 1

Topic: Statistics
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q9 – Statistics

This question explores the importance of probability in business decision-making.

Question

Probability is important in business because most decision-making in business involves:

A. Mutually exclusive situations
B. Most-likely situations
C. Equally-likely situations
D. Uncertainty situations
E. Certainty situations

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Decision-Making, Probability, Uncertainty
Level: Level 1

Topic: Statistics
Series: NOV 2015

QTB – May 2015 – L1 – SB – Q2 – Statistics

Calculating probabilities related to household expenditure on mobile phones.

Question

A research was conducted to know the average monthly household expenditure on mobile phones in DETOTAR Estate.
The research shows the average monthly household expenditure to be N5,200. Assume that the monthly household expenditure on mobile phones in the Estate is normally distributed with a standard deviation of N1,800. Determine the probability of a randomly selected household in DETOTAR Estate if the monthly expenditure on mobile phone is:

a. more than N8,700 (5 Marks)
b. between N2,600 and N9,000 (6 Marks)
c. between N7,600 and N10,200 (6 Marks)
d. less than N8,800 (3 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Household Expenditure, Normal distribution, Probability
Level: Level 1

Series: MAY 2015

QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

Question

The following tree diagram shows the scenario with two cashiers (A and B) at a bank where $M$ represents mutilated notes and $N$ represents new notes.

If a customer received mutilated notes, what is the probability that she was paid by cashier A?

A. 0.54
B. 0.55
C. 0.56
D. 0.59
E. 0.61

Answer

Find Related Questions by Tags, levels, etc.

Tags: Conditional Probability, Probability, Tree Diagram
Level: Level 1

Topic: Statistics
Series: MAY 2015

QTB – May 2015 – L1 – SA – Q7 – Statistics

Calculating how many times two events can occur together.

Question

If an event can occur $m$ times and another event can occur $n$ times, then both events can occur together in:

A. times
B. times
C. $n$ times
D. times
E. times

Answer

Find Related Questions by Tags, levels, etc.

Tags: Combinatorics, Event Occurrence, Probability
Level: Level 1

Topic: Statistics
Series: MAY 2015

QT – May 2016 – L1 – Q4 – Probability

Determine percentages of receipts using normal distribution and calculate mean and standard deviation based on given conditions.

Question

a) Receipts at a particular depot have amounts which follow the Normal distribution with a mean of GH¢103.60 and a standard deviation of GH¢8.75.

Required:
i) Determine the percentage of receipts over GH¢120.05.
ii) Determine the percentage of receipts below GH¢92.75.
iii) Determine the percentage of receipts between GH¢83.65 and GH¢117.60.
iv) Determine the receipts amount such that approximately 25 percent of receipts are greater.
v) Above what amount will 90 percent of receipts lie?

b) If 10.56 percent of receipts have an amount above GH¢110.05 and 4.01 percent of receipts have an amount above GH¢120.05.

Required:
Calculate the mean and standard deviation of the receipts assuming that they are normally distributed.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Mean, Normal distribution, Probability, Receipts, Standard Deviation, Z-scores
Level: Level 1

Topic: Probability
Series: MAY 2016

Question Tag: Probability

Filter by Professional Bodies

Filter by Subject

Filter by Series

Filter by Topics

Filter by Levels

QTB – May 2017 – L1 – SB – Q4b – Operations Research

Identify non-basic variables in a transportation model and calculate the probability of a specific event in random disk selection.

QTB – May 2017 – L1 – SB – Q4a – Statistics

Calculate the proportion of damaged blocks and the probability of taking a damaged block from a specific lorry using a tree diagram.

QTB – May 2017 – L1 – SB – Q2a – Statistics

Probability calculations for dice roll and random sampling in block production.

QTB – May 2017 – L1 – SA – Q16 – Statistics

This question asks to identify a false statement about normal distribution.

QTB – May 2017 – L1 – SA – Q15 – Statistics

This question involves calculating the probability that a defective item is from process B.

QTB – May 2017 – L1 – SA – Q13 – Statistics

This question calculates the probability of rolling either a four or a six on a six-sided die.

QTB – Nov 2014 – L1 – SA – Q3 – Probability

Determines the probability that daily sales exceed a specified value, given a normal distribution with known mean and standard deviation.

QTB – Nov 2014 – L1 – SA – Q2 – Probability

Determines the probability that a customer does not receive a mutilated note from the cashiers.

QTB – Nov 2014 – L1 – SA – Q1 – Probability

Determines the correct definition of mutually exclusive events.

QTB – May 2016 – L1 – SB – Q5b – Statistics

This question involves calculating the probability of a bag of Pando Yam weighing less than a specified value using the normal distribution.

QTB – May 2016 – L1 – SB – Q4a – Statistics

This question involves calculating expected returns from a gambler’s game of chance based on different scenarios.

QTB – May 2016 – L1 – SA – Q18 – Statistics

Calculating the probability of total sales of 6 in two consecutive days given daily sales probabilities.

QTB – Nov 2015 – L1 – SB – Q4 – Statistics

Calculate probabilities related to defective items using a tree diagram for a production company with three lines.

QTB – May 2015 – L1 – SB – Q5a – Statistics

This question involves calculating the probabilities of various scenarios of success for two independent businesses using probability theory.

QTB – Nov 2015 – L1 – SA – Q11 – Statistics

This question calculates the area under the normal curve based on the given Z-score.

QTB – Nov 2015 – L1 – SA – Q9 – Statistics

This question explores the importance of probability in business decision-making.

QTB – May 2015 – L1 – SB – Q2 – Statistics

Calculating probabilities related to household expenditure on mobile phones.

QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

QTB – May 2015 – L1 – SA – Q7 – Statistics

Calculating how many times two events can occur together.

QT – May 2016 – L1 – Q4 – Probability

Determine percentages of receipts using normal distribution and calculate mean and standard deviation based on given conditions.

Our offerings

Contact Info

Customer

Get In Touch