Suppose a random variable X can take any value in the interval [−1,2] and a random variable Y can take any value in the interval [−2,3] .

a) The random variable X−Y can take any value in an interval [a,b] . Find the values of a and b :

a=
b=

b) Can the expected value of X+Y be equal to 6?
Yes or No

1 answer

a).
a = -4
b = 4
b) No

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