Learning Materials
Features
Discover
Chapter 5: Q 2.1. (page 317)
Shuffle a standard deck of cards, and turn over the top card. Put it back in the deck, shuffle again, and turn over the top card. Define events : first card is a heart, and : second card is a heart.
Yes, events are independent.
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.
(a) According to a recent survey, of people aged and older in the United States are addicted to email. To simulate choosing a random sample of
people in this population and seeing how many of them are addicted to email, use a deck of cards. Shuffle the deck well, and then draw one card at a
time. A red card means that person is addicted to email; a black card means he isn鈥檛. Continue until you have drawn cards (without replacement) for the sample.
(b) A tennis player gets of his second serves in play during practice (that is, the ball doesn鈥檛 go out of bounds). To simulate the player hitting second serves, look at pairs of digits going across a row in Table D. If the number is between and , the service is in; numbers between and indicate that the service is out.
Income tax returns Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns
in a recent year:
(a) What is the probability that a randomly chosen return shows an adjusted gross income of or more?
(b) Given that a return shows an income of at least what is the conditional probability that the income is at least
Genetics Suppose a married man and woman both carry a gene for cystic fibrosis but don鈥檛 have the disease themselves. According to the laws of genetics, the probability that their first child will develop cystic fibrosis is
(a) Explain what this probability means.
(b) Why doesn鈥檛 this probability say that if the couple has children, one of them is guaranteed to get cystic fibrosis?
Lotto In the United Kingdom鈥檚 Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself and one for each of her four adult children. She had the lottery computer randomly select the six numbers on each ticket. When the six winning numbers were drawn, Rosemary was surprised to find that none of these numbers appeared on any of the five Lotto tickets she had bought. Should she be? Design and carry
out a simulation to answer this question. Follow the four-step process.
Winning at tennis A player serving in tennis has two chances to get a serve into play. If the first serve goes out of bounds, the player serves again. If the second serve is also out, the player loses the point. Here are probabilities based on four years of the Wimbledon Championship:18 P(1st serve in) = P(win point | 1st serve in) = P(2nd serve in | 1st serve out) = P(win point | 1st serve out and 2nd serve in) =
(a) Make a tree diagram for the results of the two serves and the outcome (win or lose) of the point.
(b) What is the probability that the serving player wins the point? Show your work.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine