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Suppose that f(x) = 1.5x² for -1 < x < 1. Determine the following probabilities: a) P(0 < X) = 0.5 b) P(0.2 < X) = 0.496 (Round the answer to 3 decimal places.) c) P(-0.5 ≤ x ≤ 0.5) = 0.125 (Round the answer to 3 decimal places.)

Suppose that f(x) = 1.5x² for -1 < x < 1. Determine the following probabilities: a) P(0 < X) = 0.5 b) P(0.2 < X) = 0.496 (Round the answer to 3 decimal places.) c) P(-0.5 ≤ x ≤ 0.5) = 0.125 (Round the answer to 3 decimal places.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose that f(x) = 1.5x² for -1 < x < 1. Determine the following probabilities: a) P(0 < X) = 0.5 b) P(0.2 < X) = 0.496 fRound the answer to 3 decimal places.) c) P(-0.5 ≤ x ≤ 0.5) = 0.125 d) P(X<- 2) = i 1 i -0.5) = -1 e) P(X<0 or X > f) Determine x such that P(x < X) = 0.05. i -0.965 (Round the answer to 3 decimal places.) (Round the answer to 3 decimal places.) Statistical Tables and Charts
Transcribed Image Text:Suppose that f(x) = 1.5x² for -1 < x < 1. Determine the following probabilities: a) P(0 < X) = 0.5 b) P(0.2 < X) = 0.496 fRound the answer to 3 decimal places.) c) P(-0.5 ≤ x ≤ 0.5) = 0.125 d) P(X<- 2) = i 1 i -0.5) = -1 e) P(X<0 or X > f) Determine x such that P(x < X) = 0.05. i -0.965 (Round the answer to 3 decimal places.) (Round the answer to 3 decimal places.) Statistical Tables and Charts
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