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For the following, decide whether the Binomial or Hypergeometric distribution is the most appropriate model. Give a brief description of your reasoning.
Hint: You need to think in terms of replacement and independence.
(a) When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X = the number of defective boards in a random sample of size n = 25.
(b) Suppose that only 20% of all drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible. Let x = the number of cars that come to a complete stop of 30 randomly chosen drivers coming to the intersection.
(c) A tennis coach has a basket containing 25 balls; 75% of these are Penn balls and the others are Wilsons. Each of four players randomly selects three balls for a match. Let X = number of Penn balls that are selected.
(d) Suppose that during daytime hours, 60% of all vehicles which pass through a certain toll bridge are passenger cars. Suppose 1000 vehicles pass through the bridge that afternoon, and let X = the number of them that are passenger cars.
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the 0.10 level of significance, that the average trunk di..
The airline must sell 150 seats to break even on this particular flight. On what percent of the flights does the airline make money?
The sample proportion of grandparents as primary caregivers(p-hat) is to be calculated. What is the standard deviation of the sampling distribution of p-hat?
cereal is sold by weight not volume. this introduces variability in the volume due to settling. as such the height to
In a water treatment plant, the turbidity level, and is suspected is linearly related to inches of accumulated rainfall in the month, x. The following information related to the waste water plant is available:
Assume the probability of a tire blowout is 0.102% per 50,000 miles of use and that a person travels 13,000 miles per year in a car. Assume that the probability of loss of control is 30% if the blowout occurs on the front tires and 15% for the rea..
Find the probability that the family's monthly gasoline purchases will be between 80 and 90 gallons. Find the probability that the family's monthly gasoline purchases will be less than 75 gallons.
Each,day Monday through Saturday, a baker bakes three large chocolate cakes and those not sold on the same day are given away to a food bank.
a garage door opener has six toggle switches each with three settings up center and down. how many settings are
Explain why you are making the recommendation and you must include a recommendation that maximizes profits and a recommendation that minimizes loss.
A population of raw scores is normally distributed with μ =0 60 and = 14. Determine the z scores for the following raw scores taken from that population:
Given the following information about a hypothesis test of the difference between 2 means based on independent random samples, what is the correct rejection region at a significance level of .05?
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