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a) On average, what fraction of students spend more than 2.5 hours on the homework? (Be careful of units!X is deemed to be the number of HOURS spent on the homework.). b) What is the average length of time spent doing the homework? c) If a student spends more than 150 minutes doing the homework, what are the chances that student is done in less than 4.5 hours?

a) On average, what fraction of students spend more than 2.5 hours on the homework? (Be careful of units!X is deemed to be the number of HOURS spent on the homework.). b) What is the average length of time spent doing the homework? c) If a student spends more than 150 minutes doing the homework, what are the chances that student is done in less than 4.5 hours?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Let X denote how long it takes (in hours) to do homework set #2 in MAT271E, and assume that the density function of X is given by х - 2 if 2<x<3 f (x) = { 1/4 if 4<x<6 otherwise a) On average, what fraction of students spend more than 2.5 hours on the homework? (Be careful of units! X is deemed to be the number of HOURS spent on the homework.). b) What is the average length of time spent doing the homework? c) If a student spends more than 150 minutes doing the homework, what are the chances that student is done in less than 4.5 hours? d) Compute P(X = 2), P(X = 3), P(X=E(X)), and P(X <E(X)).
Transcribed Image Text:Let X denote how long it takes (in hours) to do homework set #2 in MAT271E, and assume that the density function of X is given by х - 2 if 2<x<3 f (x) = { 1/4 if 4<x<6 otherwise a) On average, what fraction of students spend more than 2.5 hours on the homework? (Be careful of units! X is deemed to be the number of HOURS spent on the homework.). b) What is the average length of time spent doing the homework? c) If a student spends more than 150 minutes doing the homework, what are the chances that student is done in less than 4.5 hours? d) Compute P(X = 2), P(X = 3), P(X=E(X)), and P(X <E(X)).
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