Respuesta :
Answer:
0.2646 is the probability that exactly 2 questions are correctly answered.
Step-by-step explanation:
We are given the following information:
We treat correct as a success.
P(success) = 0.30
Then the number of correct answers follow a binomial distribution, where
[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 = 4
We have to evaluate:
[tex]P(x =2)\\= \binom{4}{2}(0.30)^2(1-0.30)^2\\= 0.2646[/tex]
0.2646 is the probability that exactly 2 questions are correctly answered.
