Question: Repeat Exercise 6.54 with A = 3. Suppose that the random variable x has an exponential distribution with A = 2. a. Write the formula

Repeat Exercise 6.54 with A = 3.
Suppose that the random variable x has an exponential 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, μx, the variance, σ2x, and the standard deviation, σx, of the exponential of x.
g. Find the probability that x will be in the interval [μx ± 2σx].

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