THE EXPONENTIAL DISTRIBUTIONS E(A)EXAMPLE 13Suppose that there are 2 earthquakes each month in a certaincountry.O Find the probability that there are at least 3 earthquakes in thenext 2 month.Let T be the time (months) until the next earthquake occurs.Find P (T <1).

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Answered: Find the probability that there are at…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 10E

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(a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p. The experiment is performed n times. What of probability is with this experiment? (b) What is the probability that success occurs exactly r times? (c) An archer has probability 0.6 Of hitting the target. find the probability that she hits the target exactly 3 times in 5 attempts-
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T2 #9 Apr 5 Travelers buy their airline ticket X days before the day of the flight, and X has exponential distribution with mean μ = 14. a) Find the probability that a traveler will buy the ticket at most 10 days before the day of the fight. b) Find the probability that a traveler will buy the ticket at least 21 days before the day of the flight.
Exponential Distribution has a memoryless property. Intuitively, it means that the probability of customer service answering you call (assuming waiting time is exponential) in the next 10 mins is the same, no matter if you have waited an hour on the line or just picked up the phone. Formally, if X ∼ exponential(λ), f(x) = λ exp(-λx), and t and s are two positive numbers, use the definition of conditional probability to show that P(X > t + s | X > t) = P(X > s). Hint: Find the cdf of X first, and note that P(X > t + s Ç X > t) = P(X > t + s)

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Find the probability that there are at least 3 earthquakes in the next 2 month. Let T be the time (months) until the next earthquake occurs. Find P (T s 1).