DAT 565 Practice Week 3 Knowledge Check

DAT 565 Practice Week 3 Knowledge Check

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Attachments: DAT 565 N2 Practice Week 3 Knowledge Check.docx [ Preview Here ]

  1. The following probabilities are given about events A and B in a sample space: P(A) = .30, P(B) = .40, P(A or B) = .60. We can say that
  2. Arrival of cars per minute at a toll booth may be characterized by the Poisson distribution if
  3. Which distribution is most nearly appropriate to describe the number of fatalities in Texas in a given year due to poisonous snakebites?
  4. To convert a normally distributed variable X into a standard Z score we would
  5. If σ = 25, find the sample size to estimate the mean with an error of ±3 and 90 percent confidence (rounded to the next higher integer).
  6. A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive. What is P(30 ≤ X ≤ 40)?
  7. The discrete random variable X is the number of students that show up for Professor Smith’s office hours on Monday afternoons. The table below shows the probability distribution for X. What is the probability that at least 1 student comes to office hours on any given Monday?
  8. The discrete random variable X is the number of students that show up for Professor Smith’s office hours on Monday afternoons. The table below shows the probability distribution for X. What is the probability that at least 1 student comes to office hours on any given Monday?
  9. Ersatz Beneficial Insurance wants to estimate the cost of damage to cars due to accidents. The standard deviation of the cost is known to be $200. They want to estimate the mean cost using a 95 percent confidence interval within ±$10. What is the minimum sample size n?
  10. The price-earnings ratio for firms in a given industry follows the normal distribution. In this industry, a firm whose price-earnings ratio has a standardized value of z = 1.00 is approximately in the highest ______ percent of firms in the industry.
  11. In a continuous distribution,
  12. For which binomial distribution would a Poisson approximation be acceptable?
  13. Given the contingency table shown here, if a survey participant is selected at random, what is the probability he/she is an undergrad who favors the change to a quarter system?
  14. Regarding probability, which of the following is correct?
  15. Which of the following characterizes a Bernoulli process?
  16. The following probabilities are given about events A and B in a sample space: P(A) = .30, P(B) = .40, P(A or B) = .60. We can say that
  17. In constructing a confidence interval for a mean with unknown variance with a sample of 25 items, Beth used z instead of t. "Well, at least my interval will be wider than necessary, so it was a conservative error," said she. Is Beth's statement correct?
  18. If P(A | B) = .40 and P(B) = .30, find P(A ∩ B).
  19. Given the contingency table shown here, what is the probability that a student attends a public school in a rural area?
  20. In any sample space P(A | B) and P(B | A)

 

 

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