Questions from Applied Statistics

Q: Consider the hospital patients in Example 2.6. Two patients

Consider the hospital patients in Example 2.6. Two patients are selected randomly, with replacement, from the total patients at Hospital 1. What is the probability mass function of the number of patie...

Q: / a. P(X ≥ 2) b

a. P(X ≥ 2) b. P(X c. P(X = 1.5) d. P(X 2.1)

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

An article in Knee Surgery, Sports Traumatology, Arthroscopy [“Arthroscopic Meniscal Repair with an Absorbable Screw: Results and Surgical Technique” (2005, Vol. 13, pp. 273–279)] cited a success rate...

Q: In a semiconductor manufacturing process, three wafers from a lot are

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.8 and that wafers...

Q: Marketing estimates that a new instrument for the analysis of soil samples

Marketing estimates that a new instrument for the analysis of soil samples will be very successful, moderately successful, or unsuccessful with probabilities 0.3, 0.6, and 0.1, respectively. The yearl...

Q: Astronomers treat the number of stars in a given volume of space

Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in theMilkyWay Galaxy in the vicinity of our solar system is one star per 16 cubic light-year...

Q: An assembly consists of threemechanical components. Suppose that the probabilities that

An assembly consists of threemechanical components. Suppose that the probabilities that the first, second, and third components meet specifications are 0.95, 0.98, and 0.99, respectively. Assume that...

Q: Assume that the wavelengths of photosynthetically active radiations (PAR) are

Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 700 nm. a. What are the mean and variance of t...

Q: Let the random variable X have a discrete uniform distribution on the

Let the random variable X have a discrete uniform distribution on the integers 0 ≤ x ≤ 99. Determine the mean and variance of X.

Q: Suppose that X has a discrete uniform distribution on the integers 0

Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean, variance, and standard deviation of the random variable Y = 5X and compare to the corresponding resu...