Problem 13E

Let X1,X2, . . . ,X36 be a random sample of size 36 from the geometric distribution with pmf f (x) = (1/4)x−1(3/4), x = 1, 2, 3, . . . . Approximate

Hint: Observe that the distribution of the sum is of the discrete type.

Problem 13E

Let be a random sample of size 36 from the geometric distribution with pmf Approximate

(a)

(b)

Hint: Observe that the distribution of the sum is of the discrete type.

Step by step solution

Step 1 of 4

Let X be a geometric random variable with parameter ‘p’.

The probability mass function for a geometric distribution is given by,

The mean and variance are given by,