Example 30 : The length of time (in minutes) that a certain lady speaks on the telephono s foujd to be randomj phenomenon, with a probability function specified by the function f(x) =X, for x20 0, otherwise A e (i) Find the value of A that makes f(x) a probability density function. (ii) What is the probability that the number of minutes that she will take over the phone is more than 10 minutes?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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The length of time (in minutes) that a certain lady speaks on the telephone
2)
Example 30
is found to be random phenomenon, with a probability function specified by the function
f(x) =
Ae-x/5
for x 20
%3D
0, otherwise
(i) Find the value of A that makes f(x) a probability density function.
(ii) What is the probability that the number of minutes that she will take over the phone
is more than 10 minutes?
Transcribed Image Text:The length of time (in minutes) that a certain lady speaks on the telephone 2) Example 30 is found to be random phenomenon, with a probability function specified by the function f(x) = Ae-x/5 for x 20 %3D 0, otherwise (i) Find the value of A that makes f(x) a probability density function. (ii) What is the probability that the number of minutes that she will take over the phone is more than 10 minutes?
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