Questions from Applied Statistics

Q: Suppose that X has an exponential distribution with mean equal to 10

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c. P(X < 30) d. Find the value of x such that P(X < x) = 0.95.

Q: The total service time of a multistep manufacturing operation has a gamma

The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviation 6. a. Determine the parameters λ and r of the distribution. b. Assume...

Q: Suppose that X has an exponential distribution with a mean of 10

Suppose that X has an exponential distribution with a mean of 10. Determine the following: a. P(X < 5) b. P(X < 15 | X > 10) c. Compare the results in parts (a) and (b) and comment on the role of the...

Q: Suppose that the log-ons to a computer network follow a

Suppose that the log-ons to a computer network follow a Poisson process with an average of three counts per minute. a. What is the mean time between counts? b. What is the standard deviation of the ti...

Q: The life of automobile voltage regulators has an exponential distribution with a

The life of automobile voltage regulators has an exponential distribution with a mean life of 6 years. You purchase a 6-year-old automobile with a working voltage regulator and plan to own it for 6 ye...

Q: The time between calls to a plumbing supply business is exponentially distributed

The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. a. What is the probability that there are no calls within a 30-minute in...

Q: The number of stork sightings on a route in South Carolina follows

The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year. a. What is the mean time between sightings? b. What is the probability that there are...

Q: The time between arrivals of taxis at a busy intersection is exponentially

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. a. What is the probability that you wait longer than 1 hour for a taxi? b. Suppose tha...

Q: The distance between major cracks in a highway follows an exponential distribution

The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. a. What is the probability that there are no major cracks in a 10-mile stretch of the highway...

Q: The probability density function of the length of a metal rod is

The probability density function of the length of a metal rod is f (x) = 2 for 2.3 < x < 2.8 meters. a. If the specifications for this process are from 2.25 to 2.75 meters, what proportion of rods fai...