Can anyone explain this to me?

Let X be a random variable with distribution function

0 for x < 0

x/8 for 0< or = x < 1

1/4 + x/8 for 1 < or = x <2

3/4 + x/12 for 2 < or = x < 3

1 for x> or = 3

Calculate P[1 < or = X < or = 2]

I know the answer is 19/24, but the Broverman study guide does not explain how it came up with the answer. Should I pick up a better study guide or can someone help me out?

Let X be a random variable with distribution function

0 for x < 0

x/8 for 0< or = x < 1

1/4 + x/8 for 1 < or = x <2

3/4 + x/12 for 2 < or = x < 3

1 for x> or = 3

Calculate P[1 < or = X < or = 2]

I know the answer is 19/24, but the Broverman study guide does not explain how it came up with the answer. Should I pick up a better study guide or can someone help me out?

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