Suppose that the random variable x has an exponential distribution with 2. a. Write the formula for

Question:

Suppose that the random variable x has an exponential 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, µx, the variance, σx2, and the standard deviation, σx, of the exponential of x.
g. Find the probability that x will be in the interval [µx ± 2σx].
Distribution
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