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Chapter 5: Q. 32 (page 326)
Tossing coins Imagine tossing a fair coin times.
a. Give a probability model for this chance process.
b. Define event B as getting more heads than tails. Find P(B).
(a) There are total probability outcomes in the probablity model
(b) The probabilty of getting more heads than tails is
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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.
A basketball player claims to make of her shots from the field. We want to simulate the player taking sets of shots, assuming that her claim is true.
To simulate the number of makes in shot attempts, you would perform the simulation as follows:
a. Use random one-digit numbers, where are a make and are a miss.
b. Use random two-digit numbers, where are a make and are a miss.
c. Use random two-digit numbers, where are a make and are a miss.
d. Use random one-digit numbers, where is a make and are a miss.
e. Use random two-digit numbers, where are a make and are a miss.
Education among young adults Choose a young adult (aged to ) at random. The probability is that the person chosen did not complete high school, that the person has a high school diploma but no further education, and that the person has at least a bachelor鈥檚 degree.
a. What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor鈥檚 degree? Why?
b. Find the probability that the young adult completed high school. Which probability rule did you use to find the answer?
c. Find the probability that the young adult has further education beyond high school. Which probability rule did you use to find the answer?
Cell phones The Pew Research Center asked a random sample of adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.
Suppose we select one of the survey respondents at random.
Another commercial If Aaron tunes into his favorite radio station at a
randomly selected time, there is a probability that a commercial will be playing.
a. Interpret this probability as a long-run relative frequency.
b. If Aaron tunes into this station at randomly selected times, will there be exactly one
time when a commercial is playing? Explain your answer.
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