Question

The total amount of time it takes a JC Auto Repair mechanic to complete a full-service, 16-point oil change is distributed as a uniform random variable, ranging from 18 to 32 minutes.

What is the standard deviation of service time?
*Report your answer to 2 decimal places using
conventional rounding rules.*

ANSWER:

What is the probability that the amount of time to complete a
full service, 16-point oil change will be less than 28 minutes?
*Report your answer to 4 decimal places using
conventional rounding rules.*

ANSWER:

What is the probability that the amount of time to complete a
full service, 16-point oil change will be between 19 and 23
minutes? *Report your answer to 4 decimal places using
conventional rounding rules.*

ANSWER:

What is the average amount of time to complete a full service,
16-point oil change at Grease Monkey? *Report your
answer to 2 decimal places using conventional rounding
rules.*

ANSWER:

Answer #1

Solution :

Given that,

a = 18

b = 32

a) standard deviation = (b - a) / 12

standard deviation = (32 - 18) / 12

standard deviation = 4.04 minutes

b) P(x < c) = (c - a) / (b - a)

P(x < 28) = (28 - 18) / (32 - 18)

P(x < 28) = 0.7143

c) P(c < x < d) = (d - c) / (b - a)

P(19 < x < 23) = (23 - 19) / (32 - 18)

P(19 < x < 23) = 0.2857

d) Average = (a + b) / 2

Average = (18 + 32) / 2

Average = 25

The total amount of time it takes a JC Auto Repair mechanic to
complete a full-service, 16-point oil change is distributed as a
uniform random variable, ranging from 18 to 32 minutes.
What is the standard deviation of service time?
Report your answer to 2 decimal places using
conventional rounding rules.
ANSWER:
What is the probability that the amount of time to complete a
full service, 16-point oil change will be less than 28 minutes?
Report your answer to 4...

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