Question

At a certain breakfast restaurant, the probability of a customer ordering coffee is 0.8. When the restaurant seats two new customers, X is the number of customers ordering coffee.

What is P(X=0)?
Enter your answer, as a decimal, in the box.
P(X=0) =

Answer 1

The probability of both of two new customers not ordering coffee is:

`P(X=0)=0.2* 0.2=0.04`

Answer 2

P(X=0) = 0.04

Explanation:

We are given that,

The probability of a customer ordering a coffee = 0.8

Then, the probability of a customer not ordering a coffee = 1 - 0.8 = 0.2

The number of customers ordering a coffee when there are 2 new customers in the restaurant = X.

It is required to find P(X=0) i.e the probability that no customer orders a coffee.

Thus, we get that,

P(X=0) = Probability of 1st customer not ordering coffee × Probability of 1st customer not ordering coffee

i.e. P(X=0) = 0.2 × 0.2

i.e. P(X=0) = 0.04

Hence, the required probability is 0.04.