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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.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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