A sample of 100 students is to be taken to determine which of two brands of beer is preferred in a blind taste test. Suppose that, in the whole population of students, 50% would prefer brand A. a. What is the probability that more than 60% of the sample members prefer brand A?b. What is the probability that between 45% and 55% of the sample members prefer brand A? c. Suppose that a sample of only 10 students was available. Indicate how the method of calculation of probabilities would differ, compared with your solutions to parts (a) and (b)?

A sample of 100 students is to be taken to determine which of two brands of beer is preferred in a blind taste test. Suppose that, in the whole population of students, 50% would prefer brand A. a. What is the probability that more than 60% of the sample members prefer brand A?b. What is the probability that between 45% and 55% of the sample members prefer brand A? c. Suppose that a sample of only 10 students was available. Indicate how the method of calculation of probabilities would differ, compared with your solutions to parts (a) and (b)?

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...

See similar textbooks

Similar questions

A study reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts (a) through a. What is the probability that the sample will have between 29% and 37% of companies in Country A that have three or more female board directors? The probability is (Round to four decimal places as needed.) b. The probability is 60% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population The probability is 60% that the sample percentage will be contained above (Round to one decimal place as needed.) % and below %. c. The probability is 99.7% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population The probability is 99.7% that the sample percentage will be contained above % and below (Round to one decimal…
Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p. Suppose that the polling organization takes a simple random sample of 500 voters. What is the probability that the sample proportion will be greater than 0.5?
2. The probability that a person has a negative side effect from a medication is .08.Suppose you treat 12 people. Assume they are independent.a. What is the probability that exactly 2 of them have a negative side effect?
10.2.% of the population is 65 or older . Find the probability that the following number of persons selected at random from 50 people are 65or older . The probability that at most 2 are 65 or older is ?
4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.a. Greater than 0.75. b.Less than 0.75 but greater than 0.5. c. Greater than the mean. d. Not less than 0.9.
8) Given the following table with eye color and hair color for a sample of 592 people... Black hair Brown hair Blond hair 16 10 Red hair Total Green eyes Hazel eyes Blue eyes Brown eyes Total 29 14 14 15 54 84 119 20 17 26 94 68 a) What percent of people with brown hair have blue eyes? b) What is the probability someone with green or hazel eyes has red hair? 102 F Par 99+
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize. The table shows that there were 50 trials of picking a marble from the bag. 1.Use the results of the simulation to calculate the experimental probability of winning. Show your work and provide the formula/ratio used. 2.What was the most likely outcome in the simulation? What was the least likely outcome? Why?
Assume that 38.2% of people have sleepwalked. Assume that in a random sample of 1466 adults, 597 have sleepwalked. a. Assuming that the rate of 38.2% is correct, find the probability that 597 or more of the 1466 adults have sleepwalked. b. Is that result of 597 or more significantly high? c. What does the result suggest about the rate of 38.2%? a. Assuming that the rate of 38.2% is correct, the probability that 597 or more of the 1466 adults have sleepwalked is (Round to four decimal places as needed.) v an example Resume Get more help g Σ E Ih 8 Clear all 9 sabaha olan maram 0 amand mms hoclate elemen f D Check answer Ha Ma