Questions from Applied Statistics

Q: Making handcrafted pottery generally takes two major steps: wheel throwing and

Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time of firing are normally distributed random variables with means of 40 minu...

Q: An article in Knee Surgery Sports Traumatology, Arthroscopy [“Effect of

An article in Knee Surgery Sports Traumatology, Arthroscopy [“Effect of Provider Volume on Resource Utilization for Surgical Procedures” (2005, Vol. 13, pp. 273–279)] showed a mean time of 129 minutes...

Q: An automated filling machine fills soft-drink cans, and the

An automated filling machine fills soft-drink cans, and the standard deviation is 0.5 fluid ounce. Assume that the fill volumes of the cans are independent, normal random variables. a. What is the sta...

Q: Assume that the weights of individuals are independent and normally distributed with

Assume that the weights of individuals are independent and normally distributed with a mean of 160 pounds and a standard deviation of 30 pounds. Suppose that 25 people squeeze into an elevator that is...

Q: A U-shaped component is to be formed from the three

A U-shaped component is to be formed from the three parts A, B, and C. See Figure 5.14. The length of A is normally distributed with a mean of 10 mm and a standard deviation of 0.1 mm. The thicknesses...

Q: The rate of return of an asset is the change in price

The rate of return of an asset is the change in price divided by the initial price (denoted as r). Suppose that $10,000 is used to purchase shares in three stocks with rates of returns X1, X2, X3. Ini...

Q: Patients arrive at a hospital emergency department according to a Poisson process

Patients arrive at a hospital emergency department according to a Poisson process with a mean of 6.5 per hour. a. What is the mean time until the 10th arrival? b. What is the probability that more tha...

Q: In Exercise 5.2.7, the monthly demand for

In Exercise 5.2.7, the monthly demand for MMR vaccine was assumed to be approximately normally distributed with a mean and standard deviation of 1.1 and 0.3 million doses, respectively. Suppose that t...

Q: Suppose that X is a binomial random variable with n = 200

Suppose that X is a binomial random variable with n = 200 and p = 0.4. Approximate the following probabilities: a. P(X ≤ 70) b. P(70 < X < 90) c. P(X = 80)

Q: Cabs pass your workplace according to a Poisson process with a mean

Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. a. Determine the mean and standard deviation of the number of cabs per 10-hour day. b. Approximate the probab...