# Question

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.

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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