Wayne State University Winter 2018- BE 2100 Quiz 5 Name Access ID# 2. (l point)

Question

Wayne State University Winter 2018- BE 2100 Quiz 5 Name Access ID# 2. (l point) Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time of firing are normally distributed random variables with means of 40 minutes and 60 minutes and standard deviations of 2 minutes and 3 minutes, respectively a. b. What is the probability that a piece of pottery will be finished within 95 minutes? What is the probability that it will take longer than 110 minutes?

Explanation / Answer

total mean time of pottery =40+60 =100

and std deviation of total time =(22+32)1/2 =3.61

a)

hence probability that total pottery time is less than 95 minutes

b)

probability that total pottery time is greater than 110:

for normal distribution z score =(X-)/ here mean=       = 100.000 std deviation   == 3.61

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