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[Solved]: (a) Display the joint pmf of x and Y in a joint p
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(Solved): (a) Display the joint pmf of x and Y in a joint probability table. (b) Compute and Y<=1 by addi ...


(a) Display the joint pmf of

x

and

Y

in a joint probability table. (b) Compute and

Y<=1

by adding probabilities from the joint pmf, and verify that this equals the product of

P(x<=1)

and

P(Y<=1)

. (c) Express the event that the total number of beds occupied at the two hospitals combined is at most 1 in terms of

x

and

Y

.

{x,Y:x*Y<=1}

{x,Y:x+Y<=1}

{x,Y:x-Y>=1}

{x,Y:x+Y>=1}

{x,Y:x-Y<=1}

Calculate this probability. (d) What is the probability that at least one of the two hospitals has no beds occupied?



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