Question

You are a salesperson and your provability of selling items is 2 out of 20. (probability of success). if you have 4 potential customers, what is the probability that you are going to sell to exact 2 of these customers

Answer 1

P(X = 2) = 0.0486

Explanation:

We are told that probability of selling items is 2 out of 20.

Thus, probability of success is;

p = 2/20 = 0.1

you have 4 potential customers and you want to find the probability that you are going to sell to exact 2 of these customers.

This is a binomial probability distribution problem.

Thus;

n = 4 and x = 2.

So;

P(X = 2) = C(4, 2) × 0.1^(2) × (1 - 0.1)^(4 - 2)

P(X = 2) = 6 × 0.01 × 0.81

P(X = 2) = 0.0486