5.66 Attitudes toward drinking and studies of behavior.Some of the methods in this section are approximationsrather than exact probability results. We have given rules ofthumb for safe use of these approximations.(a) You are interested in attitudes toward drinking amongthe 75 members of a fraternity. You choose 30 membersat random to interview. One question is "Have you hadfive or more drinks at one time during the last week?"Suppose that, in fact, 30% of the 75 members would sayYes. Explain why you cannot safely use the B(30, 0.3)distribution for the count X in your sample who say Yes.(b) The National AIDS Behavioral Surveys foundthat 0.2% (that's 0.002 as a decimal fraction) of adultheterosexuals had both received a blood transfusion andhad a sexual partner from a group at high risk of AIDS.Suppose that this national proportion holds for yourregion. Explain why you cannot safely use the Normalapproximation for the sample proportion who fall in thisgroup when you interview an SRS of 1000 adults.PRODA

The question is about approximation Introduction : Normal approximation to the binomial distribution…

Answered: 5.66 Attitudes toward drinking and…

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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The problem involves empirical probability. The table shows the breakdown of 87 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the army. Marine Air Army 25 Navy Corps Force Total Male Female Total 23 10 65 10 7 1 4 22 35 30 14 87 The probability that a randomly selected single parent in the U.S. military is in the Army is (Type an integer or decimal rounded to the nearest hundredth as needed.)
3. For each experiment, fill in the blank with the letter for the probability histogram that corresponds to the quantity indicated. Experiment 1: A gambling game has a 30% chance of winning $2 and a 70% chance of losing $1. We play the game 100 times and keep track of the net amount won or lost. Experiment 2: We flip a coin 40 times and keep track of the number of heads. 0.08 90'0 0.12 0.08 0.04 000 0 0 20 10 40 20 60 8 80 30 (a) 100 (c) (e) 40 0.00 0.012 0.008 1000 0000 -100 -50 -100 -50 0 0 50 T 50 (b) 100 150 200 30 (d) (f) 100 150 200
This is a Statistics problem. Please explain each step thoroughly. The problem I'm having issues with is shown below: In an experiment where you toss a fair coin twice, define events: AA : the first toss is heads. BB : the second toss is heads. CC : both tosses are the same. Show that AA and BB are independent. Show that AA and CC are independent. Show that BB and CC are independent. Finally, show that AA, BB, and CC are not mutually independent.
The 2010 census found that 13.9% of adults in the United States identified themselves as being of Hispanic origin. An opinion poll plans to interview 1500 adults at random. Find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin. a. 0.017 O b.0.015 Oc.0.983 O d.0.013
Virtually any process can be improved by use of statistics, including the law. A much publicized case that involved a debate about probability was the Collins case, which began in 1964. An incident of purse snatching in the Los Angeles area led to the arrest of Michael and Janet Collins. At their trial, an "expert" presented the probabilities listed in table below on characteristics possessed by a couple seen running from the crime scene: Characteristics Probability Man with beard 1/10 Blond woman 1/4 1/10 Yellow car Woman with ponytail Man with moustache Interracial couple 1/10 1/3 1/1000 The chance that a couple had all these characteristics together is 1 in 12 million. Because the Collinses had these characteristics, the Collinses must be guilty. Do yo see any problem with this line of reasoning? Hint: The question of interest is not "what is the probability of finding a couple with these characteristics?" because one such couple has been found (the Collinses), the question is "what…
1. The random numbers below represent 10 trials of a simulation. 2632, 1365, 9367, 2056, 0026, 6564, 1434, 8045, 4781, 8681 The numbers 0-7 represent students who watched television last night, and the numbers 8 and 9 represent students who did not. Based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected seventh-graders watched television last night? 4 10 © To 5. 10 9 10
Dinner at Home. Choose a parent with children under age 18 in the United States at random and ask, "How many nights a week out of seven does your family eat dinner together at home?" Call the response X for short. Based on a large sample survey, here is a probability model for the answer you will get:0 Nights 1 3 4 6. 7 Probability 0.05 0.00 0.07 0.08 0.10 0.17 0.15 0.38 (a) Verify that this is a valid finite probability model. (b) Describe the event X<4 in words. What is P(X<4)? (c) Express the event "eat dinner together at home at least once a week" in terms of X. What is the probability of this event?
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
This problem involves empirical probability. The table shows the breakdown of 98 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force. Marine Air Force Corps 8 12 5 17 Male Female Total Army 25 10 35 Navy 28 8 36 2 10 Total 73 25 98 The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is (Type an integer or decimal rounded to the nearest hundredth as needed.)
A police officer randomly selected 558 police records of larceny thefts. The accompanying data represent the number of offenses for various types of larceny thefts. (a) Construct a probability model for type of larceny theft. (b) Are coin-operated machine larcenies unusual? (c) Are larcenies from motor vehicles unusual? Data Table Click the icon to view the table. Type of Larceny Theft Pocket picking Purse snatching Shoplifting Number of Offenses 8 (a) Complete the table below. Type of Larceny Theft Pocket picking Probability 122 From motor vehicles 224 Purse snatching Motor vehicle accessories 60 Bicycles From buildings From coin-operated machines Shoplifting 30 95 From motor vehicles 10 Motor vehicle accessories Вicycles From buildings From coin-operated machines Print Done (Round to three decimal places as needed.)
This problem involves empirical probability. The table shows the breakdown of 85 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force. Marine Air Corps Force 5 13 1 5 6 18 Male Female Total Army 23 9 32 Navy 22 7 29 Total 63 22 85 The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is (Type an integer or decimal rounded to the nearest hundredth as needed.)
Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. Undergraduate Major Intended Enrollment Status Full-Time Part-Time Intended Enrollment Status Full-Time Part-Time Totals 514 a. Develop a joint probability table for these data (to 4 decimals). Totals Business 344 170 Engineering 200 Business 169 I 369 Undergraduate Major Engineering Other Other Totals 238 782 196 434 535 1,317 Totals b. Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students. Select your answer - + c. If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineering major (to 4 decimals)? d. If a student was an undergraduate business major, what is the probability…

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