Chapter 5: Q. T5.8 (page 357)
In a class, there are 18 girls and 14 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?
a.
b.
c.
d.
e.
The probability is
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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.
Butter side down Refer to the preceding exercise. Maria decides to test this
probability and drops pieces of toast from a -foot table. Only of them land butter
side down. Maria wants to perform a simulation to estimate the probability that or
fewer pieces of toast out of would land butter side down if the researchers’
probability value is correct.
a. Describe how you would use a table of random digits to perform the simulation.
b. Perform trials of the simulation using the random digits given. Copy the digits onto
your paper and mark directly on or above them so that someone can follow what you
did.
c. The dotplot displays the results of 50 simulated trials of dropping pieces of toast.
Is there convincing evidence that the researchers’ probability value is incorrect?
Explain your answer.
The most common bet in craps is the “pass line.” A pass line bettor wins immediately if either a or ancomes up on the first roll. This is called a natural. What is the probability that a natural does not occur?
a.
b.
c.
d.
e.
Teachers and college degrees Select an adult at random. Define events D: person has earned a college degree, and T: person’s career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.
Mac or PC? A recent census at a major university revealed that 60% of its students mainly used Macs. The rest mainly used PCs. At the time of the census, of the school’s students were undergraduates. The rest were graduate students. In the census, of respondents were graduate students and used a Mac as their main computer. Suppose we select a student at random from among those who were part of the census and learn that the person mainly uses a Mac. Find the probability that the person is a graduate student.
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