The time needed to complete an exam is normally distributed with (M,O^2) . a. If
ID: 1190995 • Letter: T
Question
The time needed to complete an exam is normally distributed with (M,O^2) . a. If 2.28% of the class can expect to complete the exam within an hour or less, and if 6.68% of the class need more than an hour and 35 minutes to complete the same exam, then what is the average time needed to complete this exam? What is the standard deviation? b. What is the probability that a student will need more than one hour, but less than 1.25 hours to complete this exam? c. Assume that the exams time allocation is 1.5 hours. The time needed to complete an exam is normally distributed with (M,O^2) . a. If 2.28% of the class can expect to complete the exam within an hour or less, and if 6.68% of the class need more than an hour and 35 minutes to complete the same exam, then what is the average time needed to complete this exam? What is the standard deviation? b. What is the probability that a student will need more than one hour, but less than 1.25 hours to complete this exam? c. Assume that the exams time allocation is 1.5 hours. . a. If 2.28% of the class can expect to complete the exam within an hour or less, and if 6.68% of the class need more than an hour and 35 minutes to complete the same exam, then what is the average time needed to complete this exam? What is the standard deviation? b. What is the probability that a student will need more than one hour, but less than 1.25 hours to complete this exam? c. Assume that the exams time allocation is 1.5 hours.Explanation / Answer
p(x>mean) = 0.5
p(x>95) + p(mean<x<95) =0.5
0.4332 = mean - 95/std dev
0.43s = m - 95 -------(2)
p(x<mean) =0.5
p(x<60) + p(60<x<mean) = 0.5
0.272 = mean - 60/std deviation
0.27s = m - 60 ------(2)
35 = 0.16s
s = 218.75
m=119
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