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?

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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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