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Chapter 5: Q. 100. (page 336)
Checking independence Suppose C and D are two events such that
and Are events C and D independent? Justify your answer.
The required answer is No
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Double fault!A professional tennis player claims to get of her second serves in. In a recent match, the player missed of her first second serves. Is this a surprising result if the player’s claim is true? Assume that the player has a probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss or more of her first second serves.
a. Describe how to use a random number generator to perform one trial of the simulation. The dot plot displays the number of second serves missed by the player out of the first second serves in simulated matches.
b. Explain what the dot at represents.
c. Use the results of the simulation to estimate the probability that the player would miss or more of her first second serves in a match.
d. Is there convincing evidence that the player misses more than of her second serves? Explain your answer.
2Drive to exercise : The two-way table summarizes the responses of 120 people to a survey in which they were asked, “Do you exercise for at least 30 minutes four or more times per week?” and “What kind of vehicle do you drive?”
| Exercise | Sedan | SUV | Truck |
| Yes | |||
| No |
Suppose one person from this sample is randomly selected.
a. Find the probability that the person drives an SUV.
b. Find the probability that the person drives a sedan or exercises for at least 30 minutes four or more times per week.
c. Find the probability that the person does not drive a truck, given that she or he exercises for at least 30 minutes four or more times per week.
In a class, there are girls and boys. If the teacher selects two students at random
to attend a party with the principal, what is the probability that the two students are the
same sex?
Tossing coins Imagine tossing a fair coin times.
a. Give a probability model for this chance process.
b. Define event B as getting more heads than tails. Find P(B).
Reading the paper In a large business hotel, of guests read the Los Angeles Times. Only read the Wall Street Journal. Five percent of guests read both papers. Suppose we select a hotel guest at random and record which of the two papers the person reads, if either. What’s the probability that the person reads the Los Angeles Times or the Wall Street Journal?
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