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If required, round your answers to two decimal places. What is the probability a

ID: 3049496 • Letter: I

Question

If required, round your answers to two decimal places.

What is the probability a service call will take 3.6 hours?

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?

A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1.2, 2.4, 3.6, or 4.8 hours. The different types of malfunctions occur at the same frequency.

If required, round your answers to two decimal places.

Develop a probability distribution for the duration of a service call.
Duration of Call x f(x) 1.2 2.4 3.6 4.8

Which of the following probability distribution graphs accurately represents the data set?

SelectProbability distribution #1Probability distribution #2Probability distribution #3Item 6

Consider the required conditions for a discrete probability function, shown below.



Does this probability distribution satisfy equation (5.1)?
SelectYes, all probability function values are greater than or equal to 0No, not all probability function values are greater than or equal to 0Item 7

Does this probability distribution satisfy equation (5.2)?
SelectYes, the sum of all probability function values equals 1No, the sum of all probability function values does not equal 1Item 8

What is the probability a service call will take 3.6 hours?

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?

Explanation / Answer

graph 2 is correct

5.1: Yes, all probability function values are greater than or equal to 0

5.2 :Yes, the sum of all probability function values equals 1

probability a service call will take 3.6 hours =0.25

P(overtime)=P(takes more than 2 hour) =P(X=2.4)+P(X=3.6)+P(X=4.8) =0.25+0.25+0.25 =0.75

Duration of Call x f(x) 1.2 0.25 2.4 0.25 3.6 0.25 4.8 0.25
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