BackIn Problems 39–42, use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to answer the following questions.
Which of the assignments of probabilities should be used if the coin is known to be fair?
In Problems 39–42, use the given table, which lists six possible assignments of probabilities for tossing a coin twice, to answer the following questions.
Which of the assignments of probabilities should be used if tails is twice as likely to occur as heads?
Six FlagsIn 2011, Six Flags St. Louis had 10 roller coasters: The Screamin’ Eagle, The Boss, River King Mine Train, Batman the Ride, Mr. Freeze, Ninja, Tony Hawk’s Big Spin, Evel Knievel, Xcalibur, and Sky Screamer. Of these, The Boss, The Screamin’ Eagle, and Evel Knievel are wooden coasters. Ethan wants to ride two more roller coasters before leaving the park (not the same one twice) and decides to select them by drawing names from a hat.
b. What is the probability that Ethan will ride Mr. Freeze and Evel Knievel?
In computing classical probabilities, all outcomes must be equally likely. Explain what this means.
Define each of the following.
c. Event
Define each of the following.
d. Sample space
Define each of the following.
e. Equally likely outcomes
Define each of the following.
f. Impossible event
Define each of the following.
g. Unusual event
[NW] Verify that the following is a probability model. What do we call the outcome “blue”?
Why is the following not a probability model?
A student is taking a 40-question multiple-choice exam. Each question has five possible answers. Because the student did not study, he guesses on every question. Using 0 or 1 to represent a correct answer, use the following line of random digits to simulate the probability that the student will guess a question correctly.
73634 79304 78871 25956 59109 30573 18513 61760
[NW] Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, “When you see an ad emphasizing that a product is ‘Made in America,’ are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?” The results of the survey, by age group, are presented in the following contingency table.
c. Are 18- to 34-year-olds more likely to buy a product emphasized as ""Made in America"" than individuals in general?
The following represent the results of a survey in which individuals were asked to disclose what they perceive to be the ideal number of children.
d. Among the females, what is the probability the individual believes the ideal number of children is 2?
You are planning a trip to a water park tomorrow and the weather forecaster says there is a 70% chance of rain. Explain what this result means.