1.) Find the median of the random variable with the probability density function given below.f(x) =0.02e^0.02x on[0, +)

2.) Find the expected valueE(X)the varianceVar(X and the standard deviation(X) for the density function.

f(x) =0.02e^0.02x

on[0, +)

E(X)

Var(X)=

(X)=

3.) This exercise uses the normal probability density function and requires the use of either technology or a table of values of the standard normal distribution.

The cash operating expenses of the regional phone companies during the first half of 1994 were distributed about a mean of$29.79per access line per month, with a standard deviation of$2.75. Company A's operating expenses were$28.00per access line per month. Assuming a normal distribution of operating expenses, estimate the percentage of regional phone companies whose operating expenses were closer to the mean than the operating expenses of Company A were to the mean. (Round your answer to two decimal places.)

%