6. A continuous random variable X that can assume values between x-1 and x-4 has a density function given by f(x) = 1/3. a. show that the area under the curve is equal to 1. b. find P(1.5 2)

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
Section13.1: Continuous Probability Models
Problem 16E
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6. A continuous random variable X that can assume values between x=1 and x-4 has a density function given by f(x) =
1/3
a. show that the area under the curve is equal to 1.
b. find P(1.5<x<3)
C. find P(X> 2)
Transcribed Image Text:6. A continuous random variable X that can assume values between x=1 and x-4 has a density function given by f(x) = 1/3 a. show that the area under the curve is equal to 1. b. find P(1.5<x<3) C. find P(X> 2)
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