5. (a) Given that X is normally distributed with mean 10 and P(X > 12) =0.1587. What is the probability that X will fall in the interval (9, 11)? Youare given; (1) = 0.8413 and (-;) = 0.3085, where (z) =P(-∞ < Z < z)such that Z~N(0,1).(b) Suppose that during rainy season on a tropical island the length of theshower has an exponential distribution, with parameter 1 = 2, time beingmeasured in minutes. What is the probability that a shower will last morethan three minutes? If a shower has already lasted for 2 minutes, what is theprobability that it will last for at least one more minute?

Given information: Given that the random variable X is normally distributed with a mean 10 and a…

Given that X is normally distributed with mean 10 and P(X > 12) = 587. What is the probability that X will fall in the interval (9, 11)? You given; (1) = 0.8413 and +(-) = 0.3085, where (z) = -0 < Z < z)such that Z~N(0,1). Suppose that during rainy season on a tropical island the length of the

Given that X is normally distributed with mean 10 and P(X > 12) = 587. What is the probability that X will fall in the interval (9, 11)? You given; (1) = 0.8413 and +(-) = 0.3085, where (z) = -0 < Z < z)such that Z~N(0,1). Suppose that during rainy season on a tropical island the length of the

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

5. (a) Given that X is normally distributed with mean 10 and P(X > 12) =
0.1587. What is the probability that X will fall in the interval (9, 11)? You
are given; (1) = 0.8413 and (-;) = 0.3085, where (z) =
P(-∞ < Z < z)such that Z~N(0,1).
(b) Suppose that during rainy season on a tropical island the length of the
shower has an exponential distribution, with parameter 1 = 2, time being
measured in minutes. What is the probability that a shower will last more
than three minutes? If a shower has already lasted for 2 minutes, what is the
probability that it will last for at least one more minute?

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