Calculate the meanand and the standard deviation

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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.

Reference no: EM13911595

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