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Chapter 5: Q. 24 (page 312)
If I toss a fair coin five times and the outcomes are , then the probability that tails appear on the next toss is
a. .
b. less than .
c. greater than .
d. .
e. .
The correct option is (a) i.e.
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What kind of vehicle? : Randomly select a new vehicle sold in the United States in a certain month. The probability distribution for the type of vehicle chosen is given here.
| Vehicle Type | Passenger car | Pickup Truck | SUV | Crossover | Minivan |
| Probability | |
a. What is the probability that the vehicle is a crossover? How do you know?
b. Find the probability that vehicle is not an SUV or Minivan .
c. Given that the vehicle is not a passenger car, what is the probability that it is a pickup truck?
Recycling Do most teens recycle? To find out, an AP庐 Statistics class asked an SRS of students at their school whether they regularly recycle. In the sample, students said that they recycle. Is this convincing evidence that more than half of the students at the school would say they regularly recycle? The dotplot shows the results of taking SRSS of students from a population in which the true proportion who recycle is .
a. Explain why the sample result (out of said "Yes") does not give convincing evidence that more than half of the school's students recycle.
b. Suppose instead that students in the class's sample had said "Yes." Explain why this result would give convincing evidence that a majority of the school's students recycle.
Gender and political party In January, of U.S. senators were Republicans and
the rest were Democrats or Independents. Twenty-one percent of the senators were
females, and of the senators were male Republicans. Suppose we select one of these
senators at random. Define events R: is a Republican and M: is male.
a. Find P(R 鈭� M). Interpret this value in context.
b. Consider the event that the randomly selected senator is a female Democrat or
Independent. Write this event in symbolic form and find its probability.
Taking the train According to New Jersey Transit, the weekday train from Princeton to New York City has a chance of arriving on time. To test this claim, an auditor chooses weekdays at random during a month to ride this train. The train arrives late on of those days. Does the auditor have convincing evidence that the company's claim is false? Describe how you would carry out a simulation to estimate the probability that a train with a chance of arriving on time each day would be late on or more of days. Do not perform the simulation.
Checking independence Suppose A and B are two events such that, and. Are events A and B independent? Justify your answer.
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