Questions from Applied Statistics

Q: A slitter assembly contains 48 blades. Five blades are selected at

A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day for sharpness. If any dull blade is found, the assembly is replaced with a newly sharpened set of blade...

Q: a. For Exercise 3.7.1, calculate P

a. For Exercise 3.7.1, calculate P(X = 1) and P(X = 4), assuming that X has a binomial distribution, and compare these results to results derived from the hypergeometric distribution. b. Use the binom...

Q: Suppose that a healthcare provider selects 20 patients randomly (without replacement

Suppose that a healthcare provider selects 20 patients randomly (without replacement) from among 500 to evaluate adherence to a medication schedule. Suppose that 10% of the 500 patients fail to adhere...

Q: A utility company might offer electrical rates based on time-of

A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough customers need to accept the plan for it to be successful. Suppose that amo...

Q: Suppose that lesions are present at 5 sites among 50 in a

Suppose that lesions are present at 5 sites among 50 in a patient. A biopsy selects 8 sites randomly (without replacement). a. What is the probability that lesions are present in at least one selected...

Q: Consider the visits that result in leave without being seen (LWBS

Consider the visits that result in leave without being seen (LWBS) at an emergency department in Example 2.6. Assume that people independently arrive for service at hospital l. a. What is the probabil...

Q: The distribution of the time until a Web site changes is important

The distribution of the time until a Web site changes is important to Web crawlers that search engines use to maintain current information about Web sites. The distribution of the time until change (i...

Q: Actual lengths of stay at a hospital’s emergency department in 2009 are

Actual lengths of stay at a hospital’s emergency department in 2009 are shown in the following table (rounded to the nearest hour). Length of stay is the total of wait and service ti...

Q: The random variable is the number of nonconforming solder connections on a

The random variable is the number of nonconforming solder connections on a printed circuit board with 1000 connections.

Q: A random variable X has the Poisson distribution / a

A random variable X has the Poisson distribution a. Show that the moment-generating function is b. Use MX(t) to find the mean and variance of the Poisson random variable.