The amount of time it takes for a student to complete an online statistics exam is uniformly distributed between 84 and 107 minutes. One student is selected at random. a) (give to 4 decimal places) The probability density function, f(x) = %3D b) What is the probability a student will take exactly 92.35 minutes to complete the exam? c) What is the probability that a student takes between 89 and 97 minutes to complete the exam? (give answer to 4 decimal places)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Please see below. Really need this asap please and thank you. I'm not certain of the answer I got. I need help with each part please please.
The amount of time it takes for a student to complete an online statistics exam is
uniformly distributed between 84 and 107 minutes. One student is selected at
random.
a) (give to 4 decimal places) The probability density function, f(x) =
%3D
b) What is the probability a student will take exactly 92.35 minutes to complete the
exam?
c) What is the probability that a student takes between 89 and 97 minutes to
complete the exam? (give answer to 4 decimal places)
d) Find the longest test completion time, a, such that a student would be in the
quickest 15% of test-takers. le, find a such that P(x < a) = 0. 15. (give answer
to 2 decimal places)
e) What is the mean amount of time students take to complete the exam?
minutes.
Transcribed Image Text:The amount of time it takes for a student to complete an online statistics exam is uniformly distributed between 84 and 107 minutes. One student is selected at random. a) (give to 4 decimal places) The probability density function, f(x) = %3D b) What is the probability a student will take exactly 92.35 minutes to complete the exam? c) What is the probability that a student takes between 89 and 97 minutes to complete the exam? (give answer to 4 decimal places) d) Find the longest test completion time, a, such that a student would be in the quickest 15% of test-takers. le, find a such that P(x < a) = 0. 15. (give answer to 2 decimal places) e) What is the mean amount of time students take to complete the exam? minutes.
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