Find the density function of a continuous random variable x

Reference no: EM131529946

Question: 1. (The birthday problem) (In this famous problem it is easier to calculate the probability of a complementary event than the probability of the given event.) Suppose your friend, a teacher, says that she will pick 30 students at random from her school and offer you an even bet that there will be at least two students who have the same birthdays. Should you accept this bet?

2. The density function of a continuous random variable X is given by

(a) Find k.

(b) Find E(X) and V(X).

Reference no: EM131529946

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