In a recent poll, 44% of survey respondents said that, if they only had one child, they would prefer the child to be a boy.Suppose you conducted a survey of 150 randomly selected students on your campus and find that 74 of them wouldprefer a boy.(a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 150students, at least 74 would prefer a boy, assuming the true percentage is 44%.(b) Does this result contradict the poll? Explain.(a) The probability that at least 74 students would prefer a boy is(Round to four decimal places as needed.)ec

Given Probability of success on a trial, p = 44% = 0.44Sample size, n = 150 Using formula, In normal…

Answered: In a recent poll, 44% of survey…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A sample of 400 adults found that 82 have high blood pressure. However, 98 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. B. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other…
A recent survey showed that 94 adults out of a sample of 500 have high blood pressure. However, 108 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Suppose that jurors are selected randomly from an adult population. What is the probability that all 12 jurors are white when 67% of the population is white? Round your answer to three decimal places.
Suppose 49% of the registered voters in a country are Republican. If a sample of 701 voters is selected, what is the probability that the sample proportion of Republicans will differ from the population proportion by greater than 4%? Round your answer to four decimal places.
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 there is a 11.9% probability that a randomly selected person aged 35 years or older is a jogger. In addition, there is a 15.9% probability that a randomly selected person aged 35 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 35 years or older is female and jogs? Would it be unusual to randomly select a person aged 35 years or older who is female and jogs? The probability that a randomly selected person aged 35 years or older is female and jogs is (Round to three decimal places as needed.).
Toilet Flushing In the Healthy Handwashing Survey conducted by Bradley Corporation, it was found that 64%of adult Americans operate the flusher of toilets in public restrooms with their foot. Suppose you survey a random sample of 740 adult American women aged 18–24 years. Use the normal approximation to the binomial to approximate the probability that (a) exactly 490 of those surveyed flush toilets in public restrooms with their foot. (b) no more than 490 of those surveyed flush toilets in public restrooms with their foot. (c) at least 503 of those surveyed flush toilets in public restrooms with their foot. What does this result suggest?
I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?
A sample of 4 different calculators is randomly selected from a group containing 20 that are defective and 10 that have no defects. What is the probability that all four of the calculators selected are defective? Give your answer as a percent rounded to the nearest tenth of a percent.

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