Question

In a group of 40 people, 40% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.(a) Is this a binomial experiment?NoYes(b) Why or why not?(c) What is the probability that in a random sample of 2, no one has been abroad? (Write your answer as a fraction or round your answer to three decimal places.) (d) What is the probability that in a random sample of 2, at least one has been abroad? (Write your answer as a fraction or round your answer to three decimal places.)

Answer 1

a) Yes.

b). only two possible outcomes, yes or no.

c) The probability that in a random sample of 2, no one has been abroad is

`P(X=0)=^2C_0(0.40)(0.60)^2^{}_{}`
`P(X=0)=0.144`

d) The probability that in a random sample of 2, at least one has been abroad is

`P(X\ge1)=1-P(0)`
`P(X\ge1)=1-0.144=0.856`