5.78 The ages of a group of executives attending a convention are uniformly distributed between 35 and

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5.78 The ages of a group of executives attending a convention are uniformly distributed between 35 and 65 years. If the random variable X denotes ages in years, the probability density function is as follows:

f1x2 = e 1>30 for 35 6 x 6 65 0 for all other values of x

a. Graph the probability density function for X.

b. Find and graph the cumulative distribution function for X.

c. Find the probability that the age of a randomly chosen executive in this group is between 40 and 50 years.

d. Find the mean age of the executives in the group.

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Essential Mathematics And Statistics For Science

ISBN: 9780470694480

2nd Edition

Authors: Graham Currell, Dr. Antony Dowman

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Question Posted: Sep 21, 2024 02:02 PM

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5.78 The ages of a group of executives attending a convention are uniformly distributed between 35 and

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