Question

The probability that an employee is late for work on any given day is 0.27. What is the probability that the employee will be late on exactly 4 days out of 10 days?

Round your answer for two decimal places.

Answer 1

The probability that an employee is late for work on any given day is 0.27.

We have to find the probability that the employee would be late on exactly 4 days out of 10 days.

Now, if X be the number of days on which she is late, out of these 10 days, then X follows binomial distribution with parameters n=10, and p=0.27.

So, the PMF of X is

Now, we have to find

So, the required probability, rounded off to 2 decimal places is 0.17.