SOLUTION: If the probability density function of a continuous random variable X is f(x)=0.5 x for 0<x<2, then P( 1<X<1.5) is

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Question 1202663: If the probability density function of a continuous random variable X is f(x)=0.5 x for 0 then P( 1
Answer by greenestamps(13200) About Me  (Show Source):
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The range of values on which the function is defined is from 0 to 2, a length of 2.

The prescribed range of values is from 1 to 1.5, a length of 0.5.

Since the probability density is constant on the whole range, the probability that x is between 1 and 1.5 is

0.5%2F2=0.25

ANSWER: 0.25,or 1/4, or 25%