ECON114 APPLICATIONS FOR DISCRETE PROBABILITY DISTRIBUTIONS
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ECON114
APPLICATIONS FOR DISCRETE PROBABILITY DISTRIBUTIONS
1. In a large shipment of tomatoes, 90 percent are green and therefore not ready for sale to retail customers. Find the probability that three of four tomatoes randomly selected from the shipment are green and not ready for sale to retail customers, by using (a) the standard formula and (b) the statistical table. Hence, state your conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
2. A study has shown that 40 percent of all families in a large neighborhood have one or more videocassette recorders (VCRs). Find the probabilities that among 15 families
randomly selected in the areas
(a) 10 have 1 or more VCRs
(b) more than 12 have VCRs
(c) at most 5 own VCRs
(d) from 6 to 9 own VCRs
Hence, state your conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
3. One and one-half percent ofthe letters mailed from the mailroom ofa company do not have the correct postage. Use the Poisson approximation to the binomial distribution to determine the
probability that in a random sample of 200 letters, 2 do not have the correct postage. State your
conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
4. The number of textbooks turned in each day to the lost and found department of a university is a random variable with = 4.5. Find the probabilities that on any given day the lost and found department will receive
(a) no books
(b) at least one book
(c) two books
(d) four books
Hence, state your conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
5. The number of patients who are received per hour in the emergency room of a hospital is a random variable having the Poisson distribution with = 3.5. Find the probabilities that in any given hour the emergency room will receive
(a) no patients
(b) at least one patient
(c) two patients
(d) four patients
Hence, state your conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
2022-03-19