Identifying n, p, and x (Example 11) For each situation, identify the sample size n , the probability of success p , and the number of successes x. When asked for the probability, state the answer in the form b ( n, p, x ) . There is no need to give the numerical value of the probability. Assume the conditions for a binomial experiment are satisfied. In 2012, Time magazine reported that 60 % of recent college graduates were women. a. If 10 recent college graduates are chosen at random, what is the probability that 5 of them are women? b. If 10 recent college graduates are chosen at random, what is the probability that 6 of them are men?
Identifying n, p, and x (Example 11) For each situation, identify the sample size n , the probability of success p , and the number of successes x. When asked for the probability, state the answer in the form b ( n, p, x ) . There is no need to give the numerical value of the probability. Assume the conditions for a binomial experiment are satisfied. In 2012, Time magazine reported that 60 % of recent college graduates were women. a. If 10 recent college graduates are chosen at random, what is the probability that 5 of them are women? b. If 10 recent college graduates are chosen at random, what is the probability that 6 of them are men?
Solution Summary: The author determines the sample size, the probability of success, and the number of successes in a binomial model.
Identifying n,p, and x (Example 11) For each situation, identify the sample sizen, the probability of success p, and the number of successes x. When asked for the probability, state the answer in the form b(n, p, x). There is no need to give the numerical value of the probability. Assume the conditions for a binomial experiment are satisfied.
In 2012, Time magazine reported that
60
%
of recent college graduates were women.
a. If 10 recent college graduates are chosen at random, what is the probability that 5 of them are women?
b. If 10 recent college graduates are chosen at random, what is the probability that 6 of them are men?
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License