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Let the independent random variables X1, X2, and X3 have binomial distributions with parameters n1=3, n2=5,...

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Basic Math

Let the independent random variables X1, X2, and X3 havebinomial distributions with parameters n1=3, n2=5, n3=2 and thesame probabilitiy of success p = 2/5.

Find P(X1=1-X3).

Find P(X1=X3).

Find P(X1+X2+X3>=1).

Find the expected value and variance for X1+X2+X3.

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