Tutorial Exercise Before 1918, approximately 60% of the wolves in a region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (a) Before 1918, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female? (b) For the period from 1918 to the present, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female? Step 1 (a) 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, Submit Skip (you cannot come back) Need Help? Read It Watch It

Tutorial Exercise Before 1918, approximately 60% of the wolves in a region were male, and 40% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (a) Before 1918, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female? (b) For the period from 1918 to the present, in a random sample of 9 wolves spotted in the region, what is the probability that 6 or more were male? What is the probability that 6 or more were female? What is the probability that fewer than 3 were female? Step 1 (a) 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, Submit Skip (you cannot come back) Need Help? Read It Watch It

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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