A continuous random variable X has density given by:f(x)= {1/2, -0.5≤x<0.5{1, 0.5≤x≤1{0Based on this information, answer each alternative.a. P(X< −0.39 or X≥0.74): b. P(X≥−0.01):c. P(0.34≤X≤0.79):d. P(X≥0.36|X≤0.99):e. P(X≤0.63|X≥0.31):

Given that Continuous random variable X has density functions f(x) = { 1/2 , -0.5 < X < 0.5…

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Based on this information, answer each alternative. a. P(X< −0.39 or X≥0.74): b. P(X≥−0.01): c. P(0.34≤X≤0.79):

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 42CR

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Question

A continuous random variable X has density given by:

f(x)= {1/2, -0.5≤x<0.5

{1, 0.5≤x≤1

Based on this information, answer each alternative.

a. P(X< −0.39 or X≥0.74):

b. P(X≥−0.01):

c. P(0.34≤X≤0.79):

d. P(X≥0.36|X≤0.99):

e. P(X≤0.63|X≥0.31):

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