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The proportion of people who respond to a certain mail-order solicitation can be approximated by a...

The proportion of people who respond to a certain mail-order solicitation can be approximated by a continuous random variable X that has the density function f(x) = k (x + 2)^.5 for 0 < x < 1, and 0, elsewhere.

a. Find the value of k

b. Find the CDF of x and plot it for -1 < x < 2.

c. Find the probability that more than 1/3 but less than 2/3 of the people contacted will respond to this type of solicitation.

d. Find the expected value, the median, the mode, the first quartile, the third quartile, and the standard deviation of X

Math   Statistics-And-Probability   
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