In: Math
Let the independent random variables X1, X2, and X3 have binomial distributions with parameters n1=3, n2=5, n3=2 and the same 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.