Each of six randomly selected cola drinkers is given a glass containing colaS and one containing cola F. The glasses are identical in appearance exceptfor a code on the bottom to identify the cola. Suppose there is actually notendency among cola drinkers to prefer one cola to the other. Let Xdenote the number among the six who prefer S.1 Calculate P(X = 3).What is the probability that at least three prefer S?● What is the probability that at most one prefer S?2

Answer:- Given , n = 6 Suppose there is actually no tendency among cola drinkers to prefer one cola…

Answered: Each of six randomly selected cola…

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

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Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a random sample of n=20 that have a microwave oven. Find the probability that X is at most 18 and at least 16.
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There are two boxes. Box A contains 6 red balls, and 4 blue balls andBox B contains 4 red balls and 8 blue balls. A die is rolled, if the number is lessthan 3, a ball is selected from box A. If the result is 3 or more, a ball is selectedfrom Box B. Calculate:a. The probability that the ball will be red and selected from Box B.b. The probability that the ball will be blue.
Q1. It is reported that the percentage of people in a small village that have health insurance is 80%. If 17 people are randomly selected, the find the following (a) The probability that 7 of them have health insurance. (b) The probability that at least 10 have health insurance.
A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindfolded. The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female spotted rats If she reaches into the hat once, what is the probability of choosing a female rat or an albino rat? Give your answer as a decimal rounded to 4 decimal places.
Of the cartons produced by a company, 10% have a puncture, 5% have a smashed corner, and 0.9% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.)
For the given pair of events, classify the two events as independent or dependent. Getting caught in traffic Spilling coffee in the car Choose the correct answer below. A. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. B. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. C. The two events are independent because the occurrence of one affects the probability of the occurrence of the other. D. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
Two bags of crayons contain an assortment of different colours. The probability of randomly selecting a red crayon from the first bag is 4/5. The probability of randomly selecting a red crayon from the first bag and a blue crayon from the second bag is 0.36. The probability, to the nearest hundredth, of selecting a blue crayon from the second bag is:

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