Chapter 4: Q.48 (page 286)
Construct the probability distribution function (PDF). Stop at .
Short Answer
The constructed table for the PDF is
Chapter 4: Q.48 (page 286)
Construct the probability distribution function (PDF). Stop at .
The constructed table for the PDF is
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Get started for freeUse the following information to answer the next six exercises: On average, a clothing store gets customers per day.
What is the probability of getting customers in the first four hours? Assume the store is open hours each day.
Define the random variable X.
Find the standard deviation.
According to a recent Pew Research poll, 75% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a person without a profile on a social networking site.
a. Describe the distribution of X.
b. Find the (i) mean and (ii) standard deviation of X.
c. What is the probability that you must ask ten people to find one person without a social networking site?
d. What is the probability that you must ask 20 people to find one person without a social networking site?
e. What is the probability that you must ask at most five people?
The chance of an 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.
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 audits are expected in a 20-year period?
e. Find the probability that a person is not audited at all.
f. Find the probability that a person is audited more than twice
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