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Suppose we have three fair 6-sided die (one colored green, one colored black, and one colored red). An experiment consists of rolling all three die. Let G, B, and R denote the numbers rolled on the green, black and red die respectively.
(a) What is the probability that no two of these die show the same number after the roll?
(b) What is the conditional probability that G < B < R given that no two dice show the same number? (Hint: You might consider using symmetry, and consider how many orderings of G,B,R are possible when they are different numbers).
(c) What is the probability that G < B < R when one conducts this experiment?
78 percent of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did attend college?
In the context of hypothesis testing regarding one mean, the test (Z or t) may be statistically significant at the 5% level, but not significant in a practical sense at all. Illustrate the meaning of this statement by citing 3 examples from any ar..
Risks and Odds in Everyday Life, James Burke claims that about 70 percent of all single men would welcome a woman taking the initiative in asking for a date. A random sample of 20 single men was asked if they would welcome a woman taking the initiati..
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,325. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard d..
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an accounting firm has noticed that of the companies it audits 85 show no inventory shortages 10 show small inventory
for the distribution in the following table what is the percentile rank for x
what is the probability of obtaining at least 6 cases in this class if the nationwide rate holds True?
How large a sample is needed if the principal would like to assert with 90% confidence that the sample mean is off by, at most, 7 minutes. Assume σ = 14 minutes.
How would you define Incidence Rate
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