Question

85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?

Answer 1

`(5)/(6)`

Explanation:

Given parameters

Percentage of all teachers the works in summer = 85%

Number of teachers sampled = 6 teachers

Unknown:

The probability that they all work in summer = ?

Solution:

Now, to solve this problem, let us find the number of teachers that works in summer from the given size;

Number of teachers = 85% x 6 = 5.1;

Since it is not possible to have 5.1 people, the number of teachers will be 5

The probability =
`(5)/(6)`