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Let independent random variables X and Y have binomal distibution X~B(10,0.7) and Y~(6, 0.3). a. Find...

Let independent random variables X and Y have binomal distibution X~B(10,0.7) and Y~(6, 0.3).

a. Find P(X-Y)=2 QUESTION: WHY ARE WE NOT TAKING OTHER VALUES, ASIDE FROM (X=2,Y=0), (X=3,Y=1) and (X=4, Y=2), for example X=5, Y=3, INTO CONSIDERATION??

b. What is the distribution of X-Y

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Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

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