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)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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