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Chapter 5: Q. T5.8 (page 357)
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?
The correct option is:
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Suppose this player attempts shots in a game and makes only of them. Does this provide convincing evidence that she is less than a shooter?
a. Yes, because () is less than
b. Yes, because she never made of her shots in the simulation.
c. No, because it is plausible (believable) that she would make or fewer shots by chance alone.
d. No, because the simulation was only repeated times.
e. No, because more than half of the simulated results were less than
Scrabble In the game of Scrabble, each player begins by randomly selecting tiles from a bag containing tiles. There are vowels, consonants, and blank tiles in the bag. Cait chooses her tiles and is surprised to discover that all of them are vowels. We want to perform a simulation to determine the probability that a player will randomly select vowels.
a. Describe how you would use a table of random digits to carry out this simulation.
b. Perform one trial 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. In of the trials of the simulation, all tiles were vowels. Does this result give convincing evidence that the bag of tiles was not well mixed?
Temperature and hatching How is the hatching of water python eggs influenced by the temperature of a snake’s nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: cold, neutral, or hot. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother.
Suppose we select one of the eggs at random.
a. Given that the chosen egg was assigned to hot water, what is the probability that it hatched?
b. If the chosen egg hatched, what is the probability that it was not assigned to hot water?
Body image A random sample of U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table below summarizes the data on perceived body image by gender.
Suppose we randomly select one of the survey respondents.
a. Given that the person perceived his or her body image as about right, what’s the
probability that the person is female?
b. If the person selected is female, what’s the probability that she did not perceive her body image as overweight?
The dotplot displays the number of made shots in simulated sets of free throw by someone with probability of making a free throw.
Which of the following is an appropriate statement about Wilt’s free-throw shooting
based on this dotplot?
a. If Wilt were still only a shooter, the probability that he would make at least of his shots is about
b. If Wilt were still only a shooter, the probability that he would make at least of his shots is about .
c. If Wilt is now shooting better than , the probability that he would make at least of his shots is about
d. If Wilt is now shooting better than, the probability that he would make at least of his shots is about
e. If Wilt were still only a shooter, the probability that he would make at least of his shots is about .
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