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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:

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.

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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