2. The talk time (in hours) on a cell phone in a month is approximated by the probability density function: f(x) = = x-10 5h h 25-x 5h for 10

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2. The talk time (in hours) on a cell phone in a month is approximated by the probability density
function:
f(x) =
=
x-10
5h
h
25-x
5h
for 10 < x < 15
for 15 ≤ x ≤ 20
for 20 < x < 25
a) What is the value of the constant h?
b) P(X < 17.5) = ?
c) P(X<22.0) = ?
d) What is the length of the shortest 95% of calls?
Transcribed Image Text:2. The talk time (in hours) on a cell phone in a month is approximated by the probability density function: f(x) = = x-10 5h h 25-x 5h for 10 < x < 15 for 15 ≤ x ≤ 20 for 20 < x < 25 a) What is the value of the constant h? b) P(X < 17.5) = ? c) P(X<22.0) = ? d) What is the length of the shortest 95% of calls?
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