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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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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
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?
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鈥�
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鈥� probability value is incorrect?
Explain your answer.
Lefties A website claims that of U.S. adults are left-handed. A researcher believes that this figure is too low. She decides to test this claim by taking a random sample of U.S. adults and recording how many are left-handed. Four of the adults in the sample are left-handed. Does this result give convincing evidence that the website鈥檚 claim is too low? To find out, we want to perform a simulation to estimate the probability of getting or more left-handed people in a random sample of size from a very large population in which of the people are left-handed.
Let to indicate left-handed and to 99 represent right-handed. Move left to Page Number: right across a row in Table . Each pair of digits represents one person. Keep going until you get different pairs of digits. Record how many people in the simulated sample are left-handed. Repeat this process many, many times. Find the proportion of trials in which or more people in the simulated sample were left-handed.
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鈥檚 the probability that the person reads the Los Angeles Times or the Wall Street Journal?
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