SOLUTION: In a group of 40 people, 35% 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

Algebra ->  Probability-and-statistics -> SOLUTION: In a group of 40 people, 35% 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       Log On


   



Question 1083820: In a group of 40 people, 35% 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? Why or why not?
b. What is the probability that in a random sample of 2, no one has been abroad?
What is the probability that in a random sample of 2, at least one has been abroad?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) Yes, only two possible outcomes, yes or no.
b) P%28X%29=C%282%2CX%29%2A%280.35%29%5EX%2A%281-0.35%29%5E%282-X%29
So for X=0,
P%28X=0%29=C%282%2C0%29%2A%280.35%29%5E0%2A%280.65%29%5E2
P%28X=0%29=1%2A1%2A0.4225
P%28X=0%29=0.4225
c) This is the complement to the solution for b.
P%28X%3E=1%29=1-P%280%29
P%28X%3E=1%29=1-0.4225
P%28X%3E=1%29=0.5775