College Algebra

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.

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The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the conditional probability of the event E. “getting a six,” given that the event F, “getting an even number.” has occurred is P(EF)= ____________.

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Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.

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Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the probability P (X ≤ 70) based on the corresponding hypergeometric distribution and approximate normal distribution. Is the normal approximation reasonable?

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8.- Given that X is a hypergeometric random variable with N = 10, n = 5, and r = 7:
a. Display the probability distribution for X in tabular form.
b. Compute the mean and variance of X.
c. Graph p(x) and locate μ and the interval μ ±2σ on the graph.
d. What is the probability that x will fall within the interval μ ±2σ ?

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Let Xi be arandom sample from U(0,1)prove that Xn’ convarges in probability to 0.50

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