Suppose that the random variable x has an exponential distribution with A = 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, mx, the variance, sx , and the standard deviation, sx, of the exponential distribution of x.
g. Find the probability that x will be in the interval [mx ± 2sx].
Text Book: Business Statics in Practice By BOWERMAN.