Answer:
Probability that exactly 2 left handed people will be selected from 15 people is 0.267
Step-by-step explanation:
We are given the following information:
We treat left-handed people as a success.
P(Left handed people) = 10% = 0.10
The number of people follows a binomial distribution, where
Formula:
[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 15 and x = 2
We have to evaluate:
[tex]P(x = 2) = \binom{15}{2}(0.10)^2(1-0.10)^{13}\\= 0.267[/tex]
Probability that exactly 2 left handed people will be selected from 15 people is 0.267
