Question: 33. Consider the following exponential probability density function. f (x) 5 1 3 e2x /3 for x $ 0 a. Write the formula for P(x

33. Consider the following exponential probability density function.

f (x) 5 1

3 e2x /3 for x $ 0

a. Write the formula for P(x ≤ x0).

b. Find P(x ≤ 2).

c. Find P(x ≥ 3).

d. Find P(x ≤ 5).

e. Find P(2 ≤ x ≤ 5).

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