## at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy

Question

at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy yearbooks). Explain.

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1 week 2021-10-08T00:38:30+00:00 1 Answer 0

P(exactly two buy yearbooks) = 0.31104

P(at least two buy yearbooks) = 0.76672

Step-by-step explanation:

We are given that at high school 40% of the students buy yearbooks.

You select 6 students at random.

The above situation can be represented through binomial distribution; where, n = number trials (samples) taken = 6 students

r = number of success

p = probability of success which in our question is probability that

students buy yearbooks, i.e; p = 0.40

Let X = Number of students who buy yearbooks

So, X ~ Binom(n = 6, p = 0.40)

(a) Now, Probability that exactly two buy yearbooks is given by = P(X = 2)

P(X = 2) = = =  0.31104

(b) Probability that at least two buy yearbooks is given by = P(X 2)

P(X 2) =  1 – P(X = 0) – P(X = 1)

= = =  1 – 0.04666 – 0.18662

=  0.76672