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1. Verify that f(x) is a valid probability density function

1. Verify that f(x) is a valid probability density function

Calculus For The Life Sciences
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 29CR
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1/x² x ≥ 1 x < 1 1. Verify that f(x) is a valid probability density function Suppose that f(x) (as given above) is the probability density function of some random process (technically, of a continuous random variable). Suppose A = [-3, 3] U [6, 12] is the event that the process (or random variable) returns a value between -3 and 3 or between 6 and 12, and that B = [2,9] is the event that the process (or random variable) returns a value between 2 and 9. 2. Compute P(B|A) and P(AB). - {1/2² 0 Let f(x) =
Transcribed Image Text:1/x² x ≥ 1 x < 1 1. Verify that f(x) is a valid probability density function Suppose that f(x) (as given above) is the probability density function of some random process (technically, of a continuous random variable). Suppose A = [-3, 3] U [6, 12] is the event that the process (or random variable) returns a value between -3 and 3 or between 6 and 12, and that B = [2,9] is the event that the process (or random variable) returns a value between 2 and 9. 2. Compute P(B|A) and P(AB). - {1/2² 0 Let f(x) =
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