3. An article in the New England Journal of Medicine, reported about a study of smokers in Californiaand Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given.Of the people smoking at most ten cigarettes per day, there were 9,886 African Americans, 2,745 NativeHawaiians, 12,831 Latinos, 8,378 Japanese Americans, and 7,650 Whites. Of the people smoking 11 to20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos,10,680 Japanese Americans, and 9,877 Whites. Of the people smoking 21 to 30 cigarettes per day, therewere 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and6,062 Whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans,788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 Whites.a.) Complete the table using the data provided.LatinoNativeHawaiianSmokingLevel1-1011-2021-3031+TOTALAfricanAmericanJapaneseAmericanWhiteTOTALb.) Suppose that one person from the study is randomly selected. Find the probability thatperson smoked 11 to 20 cigarettes per day.c.) Find the probability that the person was Latino and did not smoke 21-30 cigarettes per day.

Here given, An article in the New England Journal of Medicine, reported about a study of smokers in…

Answered: b.) Suppose that one person from the…

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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20. Suppose that 21% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
4. Suppose that 53% of Americans approve of the job President Biden's handling of the pandemic and 42% approve of his handling of the situation with Russia. A poll surveys 350 Americans by email. a. What is the probability that 187 or more of the sample will approve of President Biden's handling of the pandemic? P(p> 350) 187 =? b. What is the probability that less than 140 of the sample approve of President Biden's handling of the situation with Russia? 140 P(p<5) =? 350
2.Consider a box containing 15 identical pens. It is known that 5 of the 15 pens are defective. Two pens are selected at random, without replacement. a.Construct a probability distribution for the number of defective pens selected. b.Calculate the mean and standard deviation for the distribution.
A university study involves a simple random sample of 26 students taken from a population of 12,550. Undergraduate students make up 73% of the university's students. Determine the probability of selecting only undergraduate students?
1. involving the selection of colored balls from a box. Assume that the box contains 7 balls: 2 red, 4 green, and 1 blue. Two balls are drawn at random, one after the other without replacement. What is the probability that the first ball was blue, given that the second was red? 2. involving university students' math backgrounds. Assume that 50 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 75 percent plan to major in science. Of those without 4 years, only 25 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?
7.) The Pew Internet and American Life Project reported in 2004 that 55% of current music downloaders say they are using paid services. Consider a random sample of 18 music downloaders.a.) Find the probability that the sample contains 15 music downloaders who are usingpaid services using the formula.b.) Find the probability that the sample contains 10 or fewer music downloaders who areusing paid services using the calculator.c.) Find the probability that the sample contains 9 or more music downloaders who areusing paid services using the calculator.d.) Find the probability that the sample contains between 8 and 15, inclusive, musicdownloaders who are using paid services using the calculator.e.) Find the mean number of music downloaders who are using paid services.f.) Find the standard deviation of music downloaders who are using paid services.
9. Suppose three fair coins are flipped. Let a random variable count the number of tails. a.) Find the probability distribution. b.) Find the mean of the probability distribution. c.) Find the variance and the standard deviation of the probability distribution.
9. To investigate how often families eat at home, a researcher surveyed 100 adults living with children under the age of 18 years. The survey results are shown below. What is the probability that a randomly selected family eats at least two meals at home per week? Number of Meals eaten at home per week 0 1 2 3 or more Number of Survey Responses 25 30 25 20
6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have ½ 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive. a.) Fill out a probability cross tabulation. b.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug? c) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?
3. Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 73 people in the 18-21 age bracket and finds that 62 of them respond and 11 refuse to respond. When 303 people in the 22-29 age bracket are contacted, 273 respond and 30 refuse to respond. Assume that 1 of the 376 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who responds.Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.P(22-29 or responds) = %
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
8). In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 10% of voters are Independent. A survey asked 30 people to identify themselves as Democrat, Republican, or Independent. A. What is the probability that none of the people are Independent? Probability = B. What is the probability that fewer than 5 are Independent? Probability = C. What is the probability that more than 2 people are Independent? Probability =

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b.) Suppose that one person from the study is randomly selected. Find the probability that person smoked 11 to 20 cigarettes per day. c.) Find the probability that the person was Latino and did not smoke 21-30 cigarettes per day.