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.