# Question

Let X equal the number of people selected at random that you must ask in order to find someone with the same birthday as yours. Assume that each day of the year is equally likely, and ignore February 29.

(a) What is the pmf of X?

(b) Give the values of the mean, variance, and standard deviation of X.

(c) Find P(X > 400) and P(X < 300).

(a) What is the pmf of X?

(b) Give the values of the mean, variance, and standard deviation of X.

(c) Find P(X > 400) and P(X < 300).

## Answer to relevant Questions

Let X equal the number of flips of a fair coin that are required to observe the same face on consecutive flips. (a) Find the pmf of X. (b) Find the moment-generating function of X. (c) Use the mgf to find the values of (i) ...Let X equal the larger outcome when a pair of fair four-sided dice is rolled. The pmf of X is Find the mean, variance, and standard deviation of X. (i) Give the name of the distribution of X (if it has a name), (ii) Find the values of μ and σ2, and (iii) Calculate P(1 ≤ X ≤ 2) when the moment-generating function of X is given by Find P(X = 4) if X has a Poisson distribution such that 3P(X = 1) = P(X = 2). If the mgf of X is Find (a) E(X), (b) Var(X), and (c) P(4.2 < X ≤ 4.7).Post your question

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