Questions from Applied Statistics

Q: Thickness measurements of a coating process are made to the nearest hundredth

Thickness measurements of a coating process are made to the nearest hundredth of amillimeter. The thickness measurements are uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19. Determi...

Q: Suppose that 1000 seven-digit telephone numbers within your area code

Suppose that 1000 seven-digit telephone numbers within your area code are dialed randomly. What is the probability that your number is called?

Q: Each multiple-choice question on an examhas four choices. Suppose

Each multiple-choice question on an examhas four choices. Suppose that there are 10 questions and the choice is selected randomly and independently for each question. Let X denote the number of questi...

Q: The range of the random variable X is [0, 1

The range of the random variable X is [0, 1, 2, 3, x] where x is unknown. If each value is equally likely and the mean of X is 6, determine x.

Q: Trees are subjected to different levels of carbon dioxide atmosphere with 6

Trees are subjected to different levels of carbon dioxide atmosphere with 6% of them in a minimal growth condition at 350 parts per million (ppm), 10% at 450 ppm (slow growth), 47% at 550 ppm (moderat...

Q: For each scenario (a)–(j), state whether or not

For each scenario (a)–(j), state whether or not the binomial distribution is a reasonable model for the random variable and why. State any assumptions you make. a. A production process produces thousa...

Q: The number of cracks in a section of interstate highway that are

The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile. a. What is the pro...

Q: Let X be a binomial random variable with p = 0.

Let X be a binomial random variable with p = 0.1 and n = 10. Calculate the following probabilities. a. P(X ≤ 2) b. P(X > 8) c. P(X = 4) d. P(5 ≤ X ≤ 7)

Q: The random variable X has a binomial distribution with n = 10

The random variable X has a binomial distribution with n = 10 and p = 0.01. Determine the following probabilities. a. P(X = 5) b. P(X ≤ 2) c. P(X ≥ 9) d. P(3 ≤ X < 5)

Q: The random variable X has a binomial distribution with n = 10

The random variable X has a binomial distribution with n = 10 and p = 0.5. Sketch the probability mass function of X. a. What value of X is most likely? b. What value(s) of X is(are) least likely? c....