Tree Diagram – NBC Institute

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

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

Topic: Statistics
Series: MAY 2017

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

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Tags: Cashiers, Mutilated Notes, Probability, Tree Diagram

Topic: Probability
Series: NOV 2014

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

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

Topic: Statistics
Series: NOV 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

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

Topic: Statistics
Series: MAY 2015

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

Question

Consider people’s preferences in terms of chocolate and their eye color, presented as a probability tree diagram below:

30% of people have brown eyes, 40% have green eyes, and the remaining have blue eyes.
70% prefer milk chocolate, 10% prefer white chocolate, and the remaining prefer plain chocolate.

Using the tree diagram above, calculate the probability that a person:

i) Prefers plain chocolate and has brown eyes.
(1.5 marks)

ii) Prefers milk chocolate and has brown eyes.
(1.5 marks)

iii) Prefers white chocolate and has brown eyes.
(1.5 marks)

iv) Prefers plain chocolate and has green eyes.
(1.5 marks)

v) Prefers milk chocolate and has green eyes.
(1.5 marks)

vi) Prefers white chocolate and has green eyes.
(1.5 marks)

vii) Prefers plain chocolate and has blue eyes.
(1.5 marks)

viii) Prefers milk chocolate and has blue eyes.
(1.5 marks)

ix) Prefers white chocolate and has blue eyes.
(1.5 marks)

Answer

Find Related Questions by Tags, levels, etc.

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

Topic: Probability
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

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 – 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 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 – 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

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

Question

Consider people’s preferences in terms of chocolate and their eye color, presented as a probability tree diagram below:

30% of people have brown eyes, 40% have green eyes, and the remaining have blue eyes.
70% prefer milk chocolate, 10% prefer white chocolate, and the remaining prefer plain chocolate.

Using the tree diagram above, calculate the probability that a person:

i) Prefers plain chocolate and has brown eyes.
(1.5 marks)

ii) Prefers milk chocolate and has brown eyes.
(1.5 marks)

iii) Prefers white chocolate and has brown eyes.
(1.5 marks)

iv) Prefers plain chocolate and has green eyes.
(1.5 marks)

v) Prefers milk chocolate and has green eyes.
(1.5 marks)

vi) Prefers white chocolate and has green eyes.
(1.5 marks)

vii) Prefers plain chocolate and has blue eyes.
(1.5 marks)

viii) Prefers milk chocolate and has blue eyes.
(1.5 marks)

ix) Prefers white chocolate and has blue eyes.
(1.5 marks)

Answer

Find Related Questions by Tags, levels, etc.

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

Topic: Probability
Series: MAY 2017

Question Tag: Tree Diagram

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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 – Nov 2014 – L1 – SA – Q2 – Probability

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

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 – SA – Q8 – Statistics

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

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

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 – Nov 2014 – L1 – SA – Q2 – Probability

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

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 – SA – Q8 – Statistics

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

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

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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.

You're reporting an error for "QTB – May 2017 – L1 – SB – Q4a – Statistics"

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

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

You're reporting an error for "QTB – Nov 2014 – L1 – SA – Q2 – Probability"

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

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

You're reporting an error for "QTB – Nov 2015 – L1 – SB – Q4 – Statistics"

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

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

You're reporting an error for "QTB – May 2015 – L1 – SA – Q8 – Statistics"

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

You're reporting an error for "QT – May 2017 – L1 – Q6a – Probability"

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.

You're reporting an error for "QTB – May 2017 – L1 – SB – Q4a – Statistics"

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

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

You're reporting an error for "QTB – Nov 2014 – L1 – SA – Q2 – Probability"

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

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

You're reporting an error for "QTB – Nov 2015 – L1 – SB – Q4 – Statistics"

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

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

You're reporting an error for "QTB – May 2015 – L1 – SA – Q8 – Statistics"

QT – May 2017 – L1 – Q6a – Probability

Calculate probabilities from a tree diagram based on people's chocolate preferences and eye color.

You're reporting an error for "QT – May 2017 – L1 – Q6a – Probability"

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