1) Based on a survey of annual incomes in 100 households. The following tablegives the data.IncomeNumberof households$0-24,99924$25,000-49,99924$50,000-74,99918$75,000-99,99912$100,000 or morea) What is the probability that a household has an annual income of $75,000or more?b) What is the probability that a household has an annual income of less than$50,000.c) What is the probability that a household has an annual income between$25,000 and $74,999, inclusive?2) Find the probability of the event P(AUB) if P(A)=0.38, P(B)=0.47, andP(ANB)=0.33.223) Find the probability of the event P(AUB) if P(A)=0.38, P(B)=0.49 and A, Bare mutually exclusive. 4) Through observation, it has been determined that the probability for a givennumber of people waiting in line at the "5 items or less" checkout register of asupermarket is as follows:Numberwaiting in lineProbability010.10 0.15Find the probability of:a) At most 2 people in line.b) At least 1 person in line.5) Complete the sentence below.20.2030.24b) A sophomore or male4 or more0.31Thethe sample space S that are not outcomes in the event E.of an event E is the set of all outcomes inSkill Building6). According to the American Pet Products Manufacturers Association's 2013-2014National Pet Owners Survey, there is a 37% probability that a U.S householdowns a cat. If a U.S household is randomly selected, what is the probability that itdoes not own a cat?7) In a certain precalculus class, there are 18 freshmen and 15 sophomores. Of the18 freshmen, 10 are male, and of the 15 sophomores, 8 are male. Find theprobability that a randomly selected student is:a) A freshman or female

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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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