00:01
It's given in this question that 19 % of the population of a large country is nervous around strangers.
00:07
So that's a probability of 0 .19 for any randomly selected person in this country.
00:14
And we consider two people who are selected at random from this country, and we are asked for the probability that both are nervous around strangers, and at least one is nervous around strangers.
00:26
So in this situation, let's define the random variable x as the number of people out of the two who are nervous around strangers.
00:35
Each of these two can be thought of as bernoulli trials having two outcomes of interest, either are nervous around strangers or not.
00:43
And since it's a random sample, and it's also given in the question that we can assume the events are independent, then their outcomes are independent.
00:51
So the number of successes in a fixed number of independent bernoulli trials is a binomial random variable.
00:57
So here we can say x is a binomial based on two trials and probability of success 0 .19...