Counting Rules in Probability 1. The probability that the head of a household is home when a telemarketing representativecalls is 0.4. Given that the head of the house is home, the probability that goods will be boughtfrom the company is 0.3. Find the probability that the head of the house is home and goodsare bought from the company.2. In an experiment to study the relationship of hypertension and smoking habits, the followingdata are collected for 180 individuals:NonsmokersModerate SmokersHeavy SmokersHypertension213630Nonhvpertension482619If one of these individuals is selected at random, find the probability that the person is,(a) Experiencing hypertension, given that the person is a heavy smoker;(b) A nonsmoker, given that the person is experiencing no hypertension.3. A pair of fair dice is tossed. Find the probability of getting(a) A total of 8(b) At most a total of 54. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history,and 36 studied both mathematics and history. If one of these students is selected at random,find the probability that(a) The student took mathematics or history;(b) The student did not take either of these subjects;(c) The student took history but not mathematics.5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line ifone does not distinguish among trees of the same kind?

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1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company.

1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company.

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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