Defective Items – NBC Institute

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

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

Topic: Statistics
Series: MAY 2017

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 2017 – L1 – SA – Q15 – Statistics

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

Question

Answer

Find Related Questions by Tags, levels, etc.

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

Topic: Statistics
Series: MAY 2017

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

Question Tag: Defective Items

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

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

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 2017 – L1 – SA – Q15 – Statistics

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

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

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

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

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

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

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

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

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

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

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

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