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4. In one variety of poker, players are dealt five cards from an ordinary deck of 52 cards.
(a) A full house in poker is a hand of five cards of one denomination and 3 cards of another denomination. Find the probability of a player being dealt a full house.
(b) Two pairs is a poker hand containing 2 cards of one denomination, another 2 cards of a second denomination, and a fifth cards of a third dimension. Find the probability of a player being dealt two pairs.
5. Given n marbles where k of the marbles are black and the rest are white, a game is played as follows. You choose two marbles at random, and you win the game if the marbles are of different colors. Prove that for a fixed n, you have the highest probability of winning when k = n/2 (for even values of n) and when k = (n (plus or minus) 1)/2 (for odd values of n)
Based on the information given for the following studies, decide whether to reject the null hypothesis. Assume that all populations are normally distributed. For each, give:
the motion picture industry is a competitive business. more than 50 studios produce a total of 300 to 400 new motion
If and are the proportions of all college males and females correspondingly, who worked last summer, the z statistic (±0.01) for a test comparing the proportions of college men and women who worked last summer is??
Why are the data that Jack has gathered qualitative in nature and describe the steps in qualitative data analysis (data reduction, data display, and the drawing of conclusions) on the basis of Jack's study
Would this indicate that the actual proportion of stopped drivers given tickets is not equal to .88? Use a 1% significance level.
Compute the mean, median, and mode. Which of these measures of central tendency do you think most accurately describes the lifestyle variable you are looking at?
Previous studies have indicated the standard deviation of annual earnings for college students is $850. How large a sample would need to be taken to estimate the mean for college students' annual earnings to within $200 with 99% confidence?
Paul received a score of 80 on a history test for which the class mean was 70 with a standard deviation of 10. He received a score of 75 on a biology test for which the class mean was 70
a 90 confidence interval for the difference between the means of two independent populations with unknown population
which of the following is a valid objective function for a linear programming problem?none of the answers are validmin
If I have a set of values(direct measurements of dynamic deformations of a road at 100m) between 3 and~1000, how can I calculate the 2 characteristical values wich limits the interval including 85,95% of all possible measurements on this road? Using ..
Suppose that a researcher does a study to see how level of anxiety (A 1 = low, A 2 = medium, A 3 = high) is used to predict exam performance (Y).
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