Question

A survey found that 72% of households globally have at least 2 pair of Nike tennis shoes. Imagine you randomly selected 21 households for a closer look. a. What is the possibility that exactly 4 households have Nike tennis shoes? b. What is the possibility that fewer than 3 households have Nike tennis shoes? c. What is the possibility that at least 15 households have Nike tennis shoes?

Answer 1

The number of households out of 21 households selected which have at least 2 pair of nike tennis shoes is modelled here as:

a) The probability here is computed as:

Therefore 0 is the approximate probability here.

b) The probability that fewer than 3 households have Nike tennis shoes is computed here as:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

c) The probability that at least 15 households have Nike tennis shoes is computed here as:

Therefore 0.6305 is the required probability here.