**Need help with (d) and (e) only*** A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at the same frequency. (a) Develop a probability distribution for the duration of a service call. x f(x) 1 2 3 4 (b) Draw a graph of the probability distribution. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.15. The second bar from the left is labeled 2 and has a height of approximately 0.5. The third bar from the left is labeled 3 and has a height of approximately 0.25. The fourth bar from the left is labeled 4 and has a height of approximately 0.1. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.75. The second bar from the left is labeled 2 and has a height of approximately 0.75. The third bar from the left is labeled 3 and has a height of approximately 0.75. The fourth bar from the left is labeled 4 and has a height of approximately 0.75. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.05. The second bar from the left is labeled 2 and has a height of approximately 0.1. The third bar from the left is labeled 3 and has a height of approximately 0.75. The fourth bar from the left is labeled 4 and has a height of approximately 0.25. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.25. The second bar from the left is labeled 2 and has a height of approximately 0.25. The third bar from the left is labeled 3 and has a height of approximately 0.25. The fourth bar from the left is labeled 4 and has a height of approximately 0.25. (c) Show that your probability distribution satisfies the conditions required for a discrete probability function. We have that ---Select--- f(x) ≤ 0 −1 ≤ f(x) ≤ 1 1 < f(x) ≤ 4 f(x) ≥ 0 for x = 1, 2, 3, 4 and f(x) = so the probability distribution satisfies the required conditions for a valid discrete probability distribution. (d) What is the probability a service call will take three hours? (e) A service call has just come in, but the type of malfunction is unknown. It is 3:00 p.m. and service technicians usually get off at 5:00 p.m. What is the probability the service technician will have to work overtime to fix the machine today?

Need help with (d) and (e) only* A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at the same frequency. (a) Develop a probability distribution for the duration of a service call. x f(x) 1 2 3 4 (b) Draw a graph of the probability distribution. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.15. The second bar from the left is labeled 2 and has a height of approximately 0.5. The third bar from the left is labeled 3 and has a height of approximately 0.25. The fourth bar from the left is labeled 4 and has a height of approximately 0.1. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.75. The second bar from the left is labeled 2 and has a height of approximately 0.75. The third bar from the left is labeled 3 and has a height of approximately 0.75. The fourth bar from the left is labeled 4 and has a height of approximately 0.75. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.05. The second bar from the left is labeled 2 and has a height of approximately 0.1. The third bar from the left is labeled 3 and has a height of approximately 0.75. The fourth bar from the left is labeled 4 and has a height of approximately 0.25. A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x). The first bar on the left is labeled 1 and has a height of approximately 0.25. The second bar from the left is labeled 2 and has a height of approximately 0.25. The third bar from the left is labeled 3 and has a height of approximately 0.25. The fourth bar from the left is labeled 4 and has a height of approximately 0.25. (c) Show that your probability distribution satisfies the conditions required for a discrete probability function. We have that ---Select--- f(x) ≤ 0 −1 ≤ f(x) ≤ 1 1 < f(x) ≤ 4 f(x) ≥ 0 for x = 1, 2, 3, 4 and f(x) = so the probability distribution satisfies the required conditions for a valid discrete probability distribution. (d) What is the probability a service call will take three hours? (e) A service call has just come in, but the type of malfunction is unknown. It is 3:00 p.m. and service technicians usually get off at 5:00 p.m. What is the probability the service technician will have to work overtime to fix the machine today?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Section: Chapter Questions

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**Need help with (d) and (e) only***

A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at the same frequency.

(a)

Develop a probability distribution for the duration of a service call.

x	f(x)
1
2
3
4

(b)

Draw a graph of the probability distribution.

A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x).

The first bar on the left is labeled 1 and has a height of approximately 0.15.
The second bar from the left is labeled 2 and has a height of approximately 0.5.
The third bar from the left is labeled 3 and has a height of approximately 0.25.
The fourth bar from the left is labeled 4 and has a height of approximately 0.1.

A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x).

The first bar on the left is labeled 1 and has a height of approximately 0.75.
The second bar from the left is labeled 2 and has a height of approximately 0.75.
The third bar from the left is labeled 3 and has a height of approximately 0.75.
The fourth bar from the left is labeled 4 and has a height of approximately 0.75.

A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x).

The first bar on the left is labeled 1 and has a height of approximately 0.05.
The second bar from the left is labeled 2 and has a height of approximately 0.1.
The third bar from the left is labeled 3 and has a height of approximately 0.75.
The fourth bar from the left is labeled 4 and has a height of approximately 0.25.

A graph with 4 bars is given. The horizontal axis is labeled x. The vertical axis is labeled f(x).

The first bar on the left is labeled 1 and has a height of approximately 0.25.
The second bar from the left is labeled 2 and has a height of approximately 0.25.
The third bar from the left is labeled 3 and has a height of approximately 0.25.
The fourth bar from the left is labeled 4 and has a height of approximately 0.25.

(c)

Show that your probability distribution satisfies the conditions required for a discrete probability function.

We have that ---Select--- f(x) ≤ 0 −1 ≤ f(x) ≤ 1 1 < f(x) ≤ 4 f(x) ≥ 0 for

x = 1, 2, 3, 4

and

f(x) =

so the probability distribution satisfies the required conditions for a valid discrete probability distribution.

(d)

What is the probability a service call will take three hours?

(e)

A service call has just come in, but the type of malfunction is unknown. It is 3:00 p.m. and service technicians usually get off at 5:00 p.m. What is the probability the service technician will have to work overtime to fix the machine today?

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