Question: 1. 10 distinct balls are randomly distributed into 7 distinct boxes. For 1 i 7 define 1 X = 0 if ith box is

1. 10 distinct balls are randomly distributed into 7 distinct boxes. For

1. 10 distinct balls are randomly distributed into 7 distinct boxes. For 1 i 7 define 1 X = 0 if ith box is empty, otherwise. (a) Find the probability mass function of X;. (b) Find E[X] for each 1 i 7. (c) Let X be the number of empty boxes. Explain that X = X1 + X2 + ... + X7. (d) Use the expression X = X + X2++ X7 to find E[X],

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