Chapter 4: Q.6 (page 282)
Define the random variable .
Short Answer
The number of batches of muffins to create to sell in his bakery should be sufficient to sell each and every one.
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Chapter 4: Q.6 (page 282)
Define the random variable .
The number of batches of muffins to create to sell in his bakery should be sufficient to sell each and every one.
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The chance of an IRS audit for a tax return with over in income is about per year. Suppose that people
with tax returns over are randomly picked. We are interested in the number of people audited in one year. Use a
Poisson distribution to anwer the following questions.
a. In words, define the random variable
b. List the values that may take on.
c. Give the distribution of
d. How many are expected to be audited?
e. Find the probability that no one was audited.
f. Find the probability that at least three were audited.
A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be . We are interested in the number of dealerships she must call.
a. In words, define the random variable .
b. List the values that X may take on.
c. Give the distribution of . ~ _____(_____,_____)
d. On average, how many dealerships would we expect her to have to call until she finds one that has the car?
e. Find the probability that she must call at most four dealerships.
f. Find the probability that she must call three or four dealerships
Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____(_____,_____)
d. How many adults in America do you expect to survey until you find one who will watch the Super Bowl?
e. Find the probability that you must ask seven people.
f. Find the probability that you must ask three or four people
The average number of fish caught in an hour is eight. Of interest is the number of fish caught in 15 minutes. The time interval of interest is 15 minutes. What is the average number of fish caught in 15 minutes?
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