Current Attempt in Progress Suppose that f(x) = 1.5x² for −1 < x < 1. Determine the following probabilities: a) P(0 < X) = b) P (0.8 < X) = c) P(-0.5 ≤ x ≤ 0.5) = d) P(X <- 2) = e) P(X <0 or X > -0.5) = f) Determine x such that P(x < X) = 0.05. (Round the answer to 3 decimal places.) (Round the answer to 3 decimal places.) (Round the answer to 3 decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Current Attempt in Progress
Suppose that f(x) = 1.5x² for −1 < x < 1. Determine the following probabilities:
a) P (0 < X) =
b) P (0.8 < X) =
c) P(-0.5 ≤ x ≤ 0.5) =
d) P(X< 2) =
e) P(X <0 or X > -0.5) =
f) Determine x such that P(x < X) = 0.05.
(Round the answer to 3 decimal places.)
(Round the answer to 3 decimal places.)
(Round the answer to 3 decimal places.)
Transcribed Image Text:Current Attempt in Progress Suppose that f(x) = 1.5x² for −1 < x < 1. Determine the following probabilities: a) P (0 < X) = b) P (0.8 < X) = c) P(-0.5 ≤ x ≤ 0.5) = d) P(X< 2) = e) P(X <0 or X > -0.5) = f) Determine x such that P(x < X) = 0.05. (Round the answer to 3 decimal places.) (Round the answer to 3 decimal places.) (Round the answer to 3 decimal places.)
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