Suppose that of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?

Solution:

Given that, of the people are right handed

Let represent the probability of right-handed people and represent the probability of left-handed people.

and

Using the binomial distribution, the likelihood of having more than 6 right-handed people is:

Hence, the probability of having more than 6 right handed people:

(More than 6 people are right handed)