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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Similar questions

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?
If the prevalence of a certain condition in the population is 0.8. What is the probability that no one in a sample of ten has the condition? Write as a proportion rounded to two places.
Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
What is the probability that a Z-score will be 0.92 or less?
Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.
A recent survey reported that 38% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below. a. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) b. What is the probability that in the next six 18- to 29-year-olds surveyed, all six will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that in the next six 18- to 29-year-olds surveyed, at least four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) d. What are the mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six? The mean number of 18- to 29-year-olds who own tablets out of six surveyed is. (Type an integer or a decimal. Round to four…
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?
What is the probability that a z-score will be 0.92 or more?
he mean height of women in a country (ages 20−29) is 64.4 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.75.
The bottom panel of figure 1 (p. 311) shows the probability histogram for the total number of spots when a pair of dice are rolled. (a) The chance that the total number of spots will be between 7 and 10 (inclusive) equals the area under the histogram between ___and ___ (b) The chance that the total number of spots will be 7 equals the area under the histogram between ___ and ____

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