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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2. Currently there are 25 secondary schools in Miri including private, technical and vocational. The numbers of teachers in each of these schools are as follows: 135 102 120 120 112 128 104 78 105 114 144 98 90 145 122 148 115 155 68 112 98 88 124 94 90 Assuming the population mean of secondary school teachers is normal, what is the probability that the mean number of secondary school teachers is less than 100?
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