The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A group of 99 randomly selected Americans over theage of 25 were surveyed.Use the normal approximation to the binomial distribution to find the following.(Round all decimals to at least 3 places.)(a) What is the probability that 85 of the residents who were surveyed were high school graduates? .104(b) What is the probability that at least 74 of the residents who were surveyed were high school graduates? .998

Answered: The Census Bureau reports that 82% of…

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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The probability of randomly sampling a student on campus and finding that they are wearing a red shirt is .3. what is the probability of sampling 10 students and finding that exactly 4 are wearing red shirts in any order? Give your answer as 0.XX
The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. a. What is the probability that a tire will last at most 40,000 miles? b. What is the probability that a tire will last at least 65,000 miles? c. What is the probability that a tire will last between 70,000 and 80,000 miles?
Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =
n studies for a medication, 15 percent of patients gained weight as a side effect. Suppose 541 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that a) exactly 82 patients will gain weight as a side effect. (b) no more than 82 patients will gain weight as a side effect. (c) at least 92 patients will gain weight as a side effect. What does this result suggest? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) P(82)= (Round to four decimal places as needed) www.
In a recent year (365 days), there were 693 murders in a city. Find the mean number of murders per day, then use that result to find the probability that in a single day, there are no murders. Would 0 murders in a single day be a significantly low number of murders? ... The mean number of murders per day is (Round to one decimal place as needed.)
A concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in the USA Today. According to the survey, 37% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that out of five adults, exactly three are concerned that employers are monitoring their phone calls. Select one: O a. 1.85 Ob. 0.799 Oc. 0.201 d. 3.15
The mean height of women in a country (ages 20 −29) is 63.6 inches. A random sample of 55 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ= 2.65
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 recent study showed that 71% of adults need some type of corrective lens (glasses or contacts). A. If I grab a 6 random people what is the probability that fewer than 4 need corrective lenses? B. If I take a random sample of 2000 people what is the mean and standard deviation of the number of people who need corrective lens? C. Use the normal approximation to the binomial to find the probability that I get 1375 or fewer people who need corrective lenses out of a random sample of 2000. Illustrate what you are finding on a sketch of the normal curve and show your work.

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