In a certain webinar series, a speaker cannot finish his talk before the end of one hour and always finished his talk within two minutes after one hour. Let Xbe the time between the end of one hour and the end of the talk. The probability density function is defined by f(x) = kx2 for 0 sx s 2, O if otherwise. What is the probability that the talk continues beyond the %3D hour for between 60 and 90 sec?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In a certain webinar series, a speaker cannot
finish his talk before the end of one hour and
always finished his talk within two minutes
after one hour. Let Xbe the time between the
end of one hour and the end of the talk. The
probability density function is defined by f(x) =
kx2 for 0 sxs 2, 0 if otherwise. What is the
probability that the talk continues beyond the
hour for between 60 and 90 sec?
0.250
0.125
0.297
None of these
0.578
Transcribed Image Text:In a certain webinar series, a speaker cannot finish his talk before the end of one hour and always finished his talk within two minutes after one hour. Let Xbe the time between the end of one hour and the end of the talk. The probability density function is defined by f(x) = kx2 for 0 sxs 2, 0 if otherwise. What is the probability that the talk continues beyond the hour for between 60 and 90 sec? 0.250 0.125 0.297 None of these 0.578
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