An advertising reaserch study indicates that 40% of the viewer exposed to an advertisement try the product during thefollowing four month. If 100 people are exposed to the end.a) what is the probability that at least 20 of them will try product in the following four month?b) to the answer part (a) normal approximation of binomial is justifiable or not? Justify

Let p be the probability of getting advertising research studyn=sample sizep= 40%, n=100

Answered: An advertising reaserch study indicates…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A multiple-choice test consists of 115 questions with possible answers of a, b, c, d, e. Let us say that you randomly guessed on each question (each question has one correct answer) and we want to look at the number of correct responses. np = n(1 − p) = Both these values are bigger than Can we use the normal approximation to the binomial distribution (type YES or NO)? What is the probability of the number of correct responses being: a) at least 30 ? b) less than 30 ? c) is between 27 and 30 (inclusive) ?
16) A company randomly tests 30 components out of a batch of 10,000 to see if the components are defective. The rate of defectives in the past was known to be 0.02. Does this situation result in a binomial distribution? Yes or No (circle one) In your own words explain how this situation does or does not meet each of the 4 criteria required for all binomial distributions. 1. 2. 3. 4.
In chemical trials, a certain drug has 0.8 success rate of curing a known disease, If 15 people are known to have the disease. (a) What is the probability that at least 2 are cured? (b) What is the probability that all 15 are cured? (c)Find the Mean and Standard deviation.
Based on long experience, an airline found that about 8% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose the airline overbooks this flight by selling 265 ticket reservations for an airplane with only 255 seats. (a) What is the probability that a person holding a reservation will show up for the flight? (c) Use the normal approximation to the binomial distribution and part (b) to answer the following question: What is the probability that a seat will be available for every person who shows up holding a reservation? (Round your answer to four decimal places.)
Assume that 64% of drivers ed students pass their driving test, and that thissituation is modeled by a binomial distribution. Using the normal approximation to the binomial distribution, what is the probability that among n = 2500 students nationally who take the driving test this year, no more than 1650 will pass the driving test?
According to a study, 73% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered and 174 of 236 respondents indicated that they live at home. (a) Use the normal approximation to the binomial to approximate the probability that at least 174 respondents live at home. (b) Do the results from part (a) contradict the study? (a) P(X≥ 174) = (Round to four decimal places as needed.)
A category 4 hurricane strikes the U. S. mainland once every 4 years, on average,a) What are the expected value and standard deviation of the number of category 4 hurricanesthat will strike the U. S. mainland in the next century (100 years)?b) What is the probability that exactly 3 such hurricanes will strike the U. S. mainland in thenext 10 years?
In a genetics experiment on peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
In studies for a medication, 12 percent of patients gained weight as a side effect. Suppose 530 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 64 patients will gain weight as a side effect. (b) no more than 64 patients will gain weight as a side effect. (c) at least 75 patients will gain weight as a side effect. What does this result suggest?
Suppose that a total of 95 observations were made, and in preliminary study, 20% showed that machine was idle. What is the probability at 9.55% limit error?
About 40% of all US adults will try to inflate an insurance claim to cover the deductible. Suppose that you work at an insurance company and just received 128 insurance claims. You are interested in the number of inflated claims. Is it fair to say this represents a binomial setting? Explain. Would it be reasonable to use the normal approximation? Explain. What is the probability that more than 80 of the claims are inflated?
Consider the probability that more than 43 out of 130 people have been in a car accident. Assume the probability that a given person has been in a car accident is 97% Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

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