Let x be an exponential random variable with λ = 0.7. Calculate the probabilities described below....

Question

Question

Let x be an exponential random variable with λ = 0.7. Calculate the probabilities described below.
a. P(x < 4)

P(x < 4) = ______ . (Round to four decimal places as needed.)

b. P(x > 8)

P(x > 8) = ______ . (Round to four decimal places as needed.)

c. P(4 ≤ x ≤ 8)

P(4 ≤ x ≤ 8) = ______ . (Round to four decimal places as needed.)

d. P(x ≥ 3)

P(x ≥ 3) = ______ . (Round to four decimal places as needed.)

e. the probability that x is at most 8

The probability that x is at most 8 is ______ . (Round to four decimal places as needed.)

Answer 1

Answer #1

0.77 X-expl two = PLX cy= o.te 9 ote da le ។ u O 9392 0.9392 P(8)= 0.72 0.70 8 to the T 8 0 37 st Plys X58)= ote 0.78 دلم 8 l

Answer 2

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