Questions from Applied Statistics

Q: Fifty employee travel expense reimbursement vouchers were filed last quarter in the

Fifty employee travel expense reimbursement vouchers were filed last quarter in the finance department at Ramjac Corporation. Of these, 20 contained errors. A corporate auditor inspects five vouchers...

Q: A “rogue wave” (one far larger than others surrounding

A “rogue wave” (one far larger than others surrounding a ship) can be a threat to ocean-going vessels (e.g., naval vessels, container ships, oil tankers). The European Centre for Medium Range Weather...

Q: In Northern Yellowstone Lake, earthquakes occur at a mean rate of

In Northern Yellowstone Lake, earthquakes occur at a mean rate of 1.2 quakes per year. Let X be the number of quakes in a given year. (a) Justify the use of the Poisson model. (b) What is the probabil...

Q: On New York’s Verrazano Narrows bridge, traffic accidents occur at a

On New York’s Verrazano Narrows bridge, traffic accidents occur at a mean rate of 2.0 crashes per day. Let X be the number of crashes in a given day. (a) Justify the use of the Poisson model. (b) What...

Q: Leaks occur in a pipeline at a mean rate of 1 leak

Leaks occur in a pipeline at a mean rate of 1 leak per 1,000 meters. In a 2,500-meter section of pipe, what is the probability of (a) no leaks? (b) Three or more leaks? (c) What is the expected number...

Q: How many riders would there have to be on a bus to

How many riders would there have to be on a bus to yield (a) a 50 percent probability that at least two will have the same birthday? (b) A 75 percent probability? Hint: Use the Learning Stats demonstr...

Q: Among live deliveries, the probability of a twin birth is .

Among live deliveries, the probability of a twin birth is .02. (a) In 200 live deliveries, how many would be expected to have twin births? (b) What is the probability of no twin births? (c) One twin b...

Q: The probability is .03 that a passenger on United Airlines Flight

The probability is .03 that a passenger on United Airlines Flight 9841 is a Platinum flyer (50,000 miles per year). If 200 passengers take this flight, use Excel to find the binomial probability of (a...

Q: The probability of being “bumped” (voluntarily or involuntarily)

The probability of being “bumped” (voluntarily or involuntarily) on a U.S. airline was .00128. The average number of passengers traveling through Denver International Airport each hour is 5,708. (a) W...

Q: On average, 2 percent of all persons who are given a

On average, 2 percent of all persons who are given a breathalyzer test by the state police pass the test (blood alcohol under .08 percent). Suppose that 500 breathalyzer tests are given. (a) What is t...