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A 6-sided die is rolled and depending on the result a ball is then chosen from one of three boxes. If the roll results in a 1 a ball is drawn from box A, if the roll results in a 2 or a 3 a ball is drawn from box B, and if the roll results in a 4, 5, or 6 a ball is drawn from box C. If box A contains 1 red, 6 white, and 3 black balls, box B contains 6 red and 4 black balls, and box C contains 3 white and 7 black balls:
a) What is the probability that you draw a black ball?
b) What is the probability that you draw a red ball from box A?
c) What is the probability that you draw a black ball that does not come from box B?
d) What is the probability that you draw a white ball given that you drew the ball from box C?
e) What is the probability that you drew from box A given that the ball is black?
Suppose that 51% of the women who gave birth at a certain hospital last year were over 30 years old, and that 39% were unmarried.
It has been evaluated that 30% of all farms are family-owned. In sample of 12 farms, determine the probability that exactly 3 farms are family owned?
Let X 1 , X 2 , X 3 , X 4 be a random sample from a Poisson distribution with parameter λ and let Y = X 1 + X 2 + X 3 + X 4 . You decide to test λ = 1.60 versus λ
Make a List of type of possible errors. Assume that you were interested in knowing the mean score for a certain quiz in a statistics class.
Calculate the coefficient of skewness and coefficient of variation of minutes spent commuting. What do these statistics tell us?
Statistics Questions Set: If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.)
For a group of 10 men subjected to a stress situation, the mean number of heartbeats per minute was 126, and the standard deviation was 4. Find the 95% confidence interval of the true mean.
At a = 0.05, can you reject claim that at least 52% of adults are more probable to purchase a product when there are free samples?
Determine the expected frequencies for each of the cells in the following contingency tables. For each problem, state how many of the expected values actually had to be computed and how many could be found by subtraction.
Assume the population standard deviations are not the same. At the .05 significance level, is there a difference in the mean waiting time?
Supposing a linear relationship, use the least squares method to find the regression coefficients b 0 and b 1 .
FBI Report Do greater universities tend to have more property crime, would you speek that the correlation is low, moderate or high
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