5.32 Cancer deaths Current estimates are that about 25% ofall deaths are due to cancer, and of the deaths that are dueto cancer, 30% are attributed to tobacco, 40% to diet, and30% to other causes.Define events and identify which of these four proba-bilities refer to conditional probabilities.h Find the probability that a death is due to cancer and-&ttobacco.

Multiplication Rule:Multiplication rule for two dependent events C and D is given by:

Answered: 5.32 Cancer deaths Current estimates…

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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Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent a healthy gene, and s the sickle cell gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who is healthy. That is, the child does not have the disease or trait. P(child is healthy) = (Type an integer or a simplified fraction.) First Parent S S Second Parent S S Ss SS SS SS
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
Airlines report that 45% of its flights are on time. In a random sample of 80 flights, what is the probability that exactly 42 will be on time?
Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation Probability <28 weeks 28-31 weeks 32-35 weeks 36 weeks 237 weeks 0.009 0.010 0.052 0.038 0.891 Also assume that the probability of low birthweight is 0.947 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.433 given a gestation of 32-35 weeks, 0.199 given a gestation of 36 weeks, and 0.030 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places.) (b) Show that the events (length of gestation ≤ 31 weeks) and (low birthweight} are not independent.…
Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. Second Parent First Parent Ss sS P(child has sickle cell anemia) =| (Type an integer or a simplified fraction.)
Sixty percent of clowns aren’t funny. If you randomly encounter three different clowns, what is the probability that none of them are funny?
At the close of the stock markets on a day in 2013, there were 5905 companies listed with a certain stock exchange. On this day, the probabilities of advancing, declining, and unchanged company stocks appears in the table for the two exchanges. Find the probability an advancing stock was listed on Exchange 1. Percentage of Probability of Probability of Companies Probability the Stock Stock Stocks Remain Exchange Exchange 1 Exchange 2 Declining 0.267 Listed Advancing Unchanged 0.041 54.8% 0.684 45.2% 0.657 0.297 0.046 ..... The probability that an advancing stock was listed on Exchange 1 is (Round to three decimal places as needed.)
Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability. 0.006 0.010 28-31 weeks 32-35 weeks 36 weeks 0.035 237 weeks 0.900 The following conditional probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.432 given a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total Probability.) 0.06612 0.049 (b) Show…
Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is the probability that someone owns a dog or a cat? The probability of a person having a dog or a cat is (Type an integer or a decimal.)
Approximately 70% of statistics students do their homework in time for it to be collected and graded. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 40 will do their homework on time? Students are selected randomly. What is a “failure” in words?

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