1. Suppose the distribution of the length of a speech (in minutes) is given by the following distribution f(y) (a(by y²) 0

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1. Suppose the distribution of the length of a speech (in minutes) is given by the following
distribution
0<y <3
otherwise
a) If the average length of a speech is 1.5 minutes what are the values of a and b.
b) Calculate the probability that a speech is less than 2 minutes.
c) Calculate the standard deviation for the distribution in the length of speeches.
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Transcribed Image Text:1. Suppose the distribution of the length of a speech (in minutes) is given by the following distribution 0<y <3 otherwise a) If the average length of a speech is 1.5 minutes what are the values of a and b. b) Calculate the probability that a speech is less than 2 minutes. c) Calculate the standard deviation for the distribution in the length of speeches. Covers
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