Homework SourseThe cumulative distribution function of the random variable
The cumulative distribution function of the random variable Y is Sketch the CDF of Y and calculate the following probabilities: ![The cumulative distribution function of the random variable Y is Sketch the CDF of Y and calculate the following probabilities: Solutiona) P[y<=-1] = FY(-1)](/WebImages/3/the-cumulative-distribution-function-of-the-random-variable-968898-1761499278-0.webp "The cumulative distribution function of the random variable Y is Sketch the CDF of Y and calculate the following probabilities: Solutiona) P[y<=-1] = FY(-1)")
Solution
a)
P[y<=-1] = FY(-1) = 0
b)
P[y<=1]=FY(1) = 1/4
c)
P[2<y<=3] = FY(3)-FY?(2) = 3/4-2/4 = 1/4
d)
P[y>1.5] = 1-P[y<=1.5] =1-FY?(1.5) = 1-1.5/4 = 2.5/4 =5/8
