Identifying n , p , and x (Example 12) For each situation, identify the sample size n, the probability of a success p , and the number of success 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. A 2017 Gallup poll found that 53% of college students were very confident that their major will lead to a good job. a. If 20 college students are chosen at random, what’s the probability that 12 of them were very confident their major would lead to a good job? b. If 20 college students are chosen at random, what’s the probability that 10 of them are not confident that their major would lead to a good job?
Identifying n , p , and x (Example 12) For each situation, identify the sample size n, the probability of a success p , and the number of success 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. A 2017 Gallup poll found that 53% of college students were very confident that their major will lead to a good job. a. If 20 college students are chosen at random, what’s the probability that 12 of them were very confident their major would lead to a good job? b. If 20 college students are chosen at random, what’s the probability that 10 of them are not confident that their major would lead to a good job?
Solution Summary: The author determines the binomial probability of 12 out of 20 randomly selected students being confident that their major would lead to a good job.
Identifying
n
,
p
, and
x
(Example 12) For each situation, identify the sample size n, the probability of a success
p
, and the number of success
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.
A 2017 Gallup poll found that 53% of college students were very confident that their major will lead to a good job.
a. If 20 college students are chosen at random, what’s the probability that 12 of them were very confident their major would lead to a good job?
b. If 20 college students are chosen at random, what’s the probability that 10 of them are not confident that their major would lead to a good job?
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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