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The cumulative distribution function of the continuous rando.pdf

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The cumulative distribution function of a continuous random variable X is defined as F(x)=0 for x<2, c(x+2)2 for 2≤x≤2, and 1 for x>2, where c is a constant. To find c, the function must equal 1 at x=2, so c=1/4. The probability that X is greater than 1 is 3/4. The value of a such that the probability of X being less than or equal to a is 9/16 is 5/2.

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The cumulative distribution function of the continuous random variable X is F(x)=0,c(x+2)2,1,x22< x2x>2 a. Obtain the value of c. b. Find RrX>1]. c. Find a such that Pr[Xa]=9/16.

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  • 1. The cumulative distribution function of the continuous random variable X is F(x)=0,c(x+2)2,1,x22< x2x>2 a. Obtain the value of c. b. Find RrX>1]. c. Find a such that Pr[Xa]=9/16.