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At a certain intersection, of all cars traveling north, the relative frequency of cars continuing in the same direction is p. The relative frequency of those turning east is q; all others turn west. Assume that drivers behave independently of one another. A small group of n cars enters the intersection. For this group
(a) What is the marginal distribution of Y, the number of cars turning west? Find the conditional distribution of X, the number of cars turning east, given that Y equals y.
(b) Find the joint distribution of X and Y. Be careful with the limits of validity. (X, Y, and Z, the number going straight, have a joint "multinomial" distribution which is studied in Sec. 3.6.1.)
Another location if it meant a substantial promotion. Based on these findings, write a brief note to management regarding all executives in the firm.
a standard 6-faced die is rolled twice in an experiment. let a and b be the outcome of the 1st and 2nd rolls
A fair die is rolled two times. Let A be the event that the outcome of the first roll is an odd number. Let B be the event that the outcome of second roll is at least 5.
Fruit flies. The length of the thorax in a population of male fruit flies is approximately Normal with mean 0.800 millimeters (mm) and standard deviation 0.078 mm. Use the 68-95-99.7 rule to answer the following questions. (Start by making a sket..
What should the warranty period be to replace a malfunctioning calculator if the company does not want to replace more than 1% of all the calculators sold.
Evolutionary theories often, Emphasize that humans have adapted to their physical environment. One such theory hypothesis that:
Prior to the 1970s the developing countries played a small role in world trade because their own economic policies hindered integration with the world economy. However, many of these countries have since changed their policies and vastly improved ..
(a) Find the 80th percentile for the distribution of exercise time per week. (round the answer to 2 decimal places) (b) What is the probability that a randomly selected adult has more than 7 hours of exercise per week? (round the answer to 4 deci..
Think about an organization's involvement in the global economy. Does the organization have expatriates?
What are the variables of interest?- Describe a method for obtaining a random sample of comforters from current manufacturers.
for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. What should you conclude? Use the .05 level. (a) Use the steps of hypothesis testing, (b) figure the effect size for the study.
The population variances are 4.6 and 5.0 respectively. Using a level of significance of .05, is there evidence that the dual degree students are receiving lower grades?
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