Reference no: EM132461965

Before 1918, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male?

Recall that the binomial distribution with parameters n, p, and r gives the probability distribution of the number of r successes in a sequence of n trials, each of which yields success with probability p. 

In this problem, we are observing whether a wolf from a sample of 9 wolves is a male or a female. This can be treated as a binomial experiment since there are two possible outcomes for each wolf selected. 

Recall that a binomial experiment is one with a set number of independent trials and only two outcomes. Since the sex of one wolf has no effect on that of another wolf, the trials are independent. This is a binomial experiment with n =  ? trials.

Here, we can denote the outcome of finding a male wolf as a "success." We are told that before 1918 approximately 60% of the wolves in the region were male. Therefore, at that time there was a 60% chance that a given wolf in the region was male. So, p = 0.60.