7. 0,75 points The Body Paint, an automobile body paint shop, has determined tha

Question

7. 0,75 points The Body Paint, an automobile body paint shop, has determined that the painting time of automobiles is uniformly distributed and that the required time ranges between 50 minutes to 1: hours. a. What is the probability that the painting time of a single automobile will be less than or equal to one hour? ANSWER: (report your answer to 4 decimal places, using conventional rounding rules) b. What is the probability that the painting time of a single automobile will be more than 75 minutes? ANSWER: (report your answer to 4 decimal places, using conventional rounding rules) c. Determine the mean painting time. ANSWER: 55 (report your answer to 2 decimal places, using conventional ounding rules) d. Determine the standard deviation of painting time. ANSWER: 2886 (report your answer to 2 decimal places, using conventional rounding rules)

Explanation / Answer

as we get that above is a uniform distribution with parameter a =50 and b=60 minute

hence CDF=F(x) =P(X<x)=(x-50)/(60-50) =(x-50)/10

a) probability of less then or equal to 1 hour(60 minutes)=P(X<60)=(60-50)/10=1

b)probability will be more then 75 minutes =0 (as 75 minutes is outside of range of values)

c)

mean painting time =(a+b)/2 =(50+60)/2 =55

d)

std deviation =(b-a)/(12)1/2 =(60-50)/(12)1/2 =2.89

all of yout answer are right, please revert if you are looking for something different.

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