# Question

Repeat Exercise 6.48 with λ= 3

In Exercise 6.48

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, µx, the variance, σx2, and the standard deviation, σx, of the exponential distribution of x.

g. Find the probability that x will be in the interval [µx ± 2σx].

In Exercise 6.48

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, µx, the variance, σx2, and the standard deviation, σx, of the exponential distribution of x.

g. Find the probability that x will be in the interval [µx ± 2σx].

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