Suppose that the random variable x has an exponential distribution with =2.

a.Write the formula for the exponential probability curve of x. What are the possible values of x?

b. Sketch the probability curve.

c. Find P(x 1)

d. Find P(.25 x 1)

e. Find P(x > 2)

f. Calculate the mean , the variance ²_x, and the standard deviation,_x, of the exponential distribution of x.

g. Find the probability that x will be in the interval [, 2 _{x ].}