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Market research group assumes that p = A sample of n = 25% of customers would be willing to upgrade their services. 300 customers would be polled and random variable Y indicates a count of positive responses. Use Normal Approximation to the Binomial for next questions 1. Evaluate probability that Y would be above 87 2. Find the chance of having 60 to 69 positive answers 3. Determine how likely the value of Y would exceed 72 4. Evaluate approximate values y(0.05) and y(0.95) such that only 5% would be above 5% would be below y(0.95) Y(0.05) and also

Market research group assumes that p = A sample of n = 25% of customers would be willing to upgrade their services. 300 customers would be polled and random variable Y indicates a count of positive responses. Use Normal Approximation to the Binomial for next questions 1. Evaluate probability that Y would be above 87 2. Find the chance of having 60 to 69 positive answers 3. Determine how likely the value of Y would exceed 72 4. Evaluate approximate values y(0.05) and y(0.95) such that only 5% would be above 5% would be below y(0.95) Y(0.05) and also

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Market research group assumes that p = 25% of customers would be willing to upgrade their services. A sample of 300 customers would be polled and random variable Y indicates a count of positive responses. Use Normal Approximation to the Binomial for next questions 1. Evaluate probability that Y would be above 87 2. Find the chance of having 60 to 69 positive answers 3. Determine how likely the value of Y would exceed 72 such that only 5% would be above y(0.05) and also 4. Evaluate approximate values 5% would be below y(0.95) Y(0.05) and Y(0.95)
Transcribed Image Text:Market research group assumes that p = 25% of customers would be willing to upgrade their services. A sample of 300 customers would be polled and random variable Y indicates a count of positive responses. Use Normal Approximation to the Binomial for next questions 1. Evaluate probability that Y would be above 87 2. Find the chance of having 60 to 69 positive answers 3. Determine how likely the value of Y would exceed 72 such that only 5% would be above y(0.05) and also 4. Evaluate approximate values 5% would be below y(0.95) Y(0.05) and Y(0.95)
A study involves n = 225 students. Researchers expect that 10% of them would change their major within next two semesters. Use sampling distribution of the sample proportion to answer questions below. 1. Determine parameters of approximating normal distribution for sample proportion of students who would change their major. 2. What is the chance that a sample proportion of those students would exceed 9% 3. Determine approximate probability that the sample proportion would be below 12.5% 4. Evaluate the chance of having the sample proportion between 9.5% and 11.5%
Transcribed Image Text:A study involves n = 225 students. Researchers expect that 10% of them would change their major within next two semesters. Use sampling distribution of the sample proportion to answer questions below. 1. Determine parameters of approximating normal distribution for sample proportion of students who would change their major. 2. What is the chance that a sample proportion of those students would exceed 9% 3. Determine approximate probability that the sample proportion would be below 12.5% 4. Evaluate the chance of having the sample proportion between 9.5% and 11.5%
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