In a city, 60% of the voters are in favor of building a new park. An interviewer intends to conduct a survey.

a. If the interviewer selects 20 people randomly, what is the probability that more than 15 of them will favor building the park?

b. Instead of choosing 20 people as in part a, suppose that the interviewer wants to conduct the survey until he has found exactly 12 who are in favor of the park. What is the probability that the first 12 people surveyed all favor the park (in which case the interviewer can stop)? What is the probability that the interviewer can stop after interviewing the thirteenth subject? What is the probability that the interviewer can stop after interviewing the eighteenth subject?

Solution Summary

This Solution contains over 300 words and calculations to aid you in understanding the Solution to these questions.

... that ¯x exceeds 110 c) Find the probability that the ... shows step-by-step calculations to determine sampling distribution, probabilities of test ...

... of 60 of these students, what is the probability the mean ... Use the central limit theorem to find probabilities of selecting possible sample means from ...

... Please see the attachments. The solution provides step by step method for the calculation of Normal probability, confidence interval and sample size. ...

... Normal Probabilities. Common Data Mean 12 Standard Deviation 0.5 Probability for a Range From X Value 11.5 To X Value 12 Z ... Page 2 Sample Size Determination. ...

... and information content of using probability forecasts ... two forecasters arrive at different subjective probabilities from the ... compute the mean of a sample of 10 ...

... X using Z = = and from standard normal σ n 0.036514837 tables, we can find the probabilities as follows. a. What is the probability that the sample mean is ...

... Page 18 Binomial Probabilities. Data Sample size 5 Probability of an event of interest 0.4. Statistics Mean 2 Variance 1.2 Standard deviation 1.095445. ...