Fertile (female) cats produce an average of 3 litters per year.
(Source: The Humane Society of the United States) . Suppose that one fertile, female cat is randomly chosen. In one year, find the probability she produces:
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 28%. We are interested in the number of dealerships she must call.
On average, how many dealerships would we expect her to have to call until she finds one that has the car?
Find the probability that she must call at most 4 dealerships.
Find the probability that she must call 3 or 4 dealerships.
= the number of dealers she calls until she finds one with a used red Miata
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.
How many adults in America do you expect to survey until you find one who will watch the Super Bowl?
Find the probability that you must ask 7 people.
Find the probability that you must ask 3 or 4 people.
A group of Martial Arts students is planning on participating in an upcoming demonstration. 6 are students of Tae Kwon Do; 7 are students of Shotokan Karate. Suppose that 8 students are randomly picked to be in the first demonstration. We are interested in the number of Shotokan Karate students in that first demonstration. Hint: Use the Hypergeometric distribution. Look in the Formulas section of 4: Discrete Distributions and in the Appendix Formulas.
How many Shotokan Karate students do we expect to be in that first demonstration?
Find the probability that 4 students of Shotokan Karate are picked for the first demonstration.
Suppose that we are interested in the Tae Kwan Do students that are picked for the first demonstration. Find the probability that all 6 students of Tae Kwan Do are picked for the first demonstration.
The chance of a IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 20 year period. Assume each year is independent.
How many audits are expected in a 20 year period?
Find the probability that a person is not audited at all.
Find the probability that a person is audited more than twice.