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1) Alice and Bob are playing a game where they each write their name on a card. Alice goes first and chooses one of the two cards with equal probability. If Alice chooses her own card, then she wins. If she chooses Bob's card, then it's Bob's turn to play. He chooses one of the two cards randomly with equal probability, and he wins if gets his own card. Otherwise, the turn passes back to Alice and she tries again. This pattern continues until one or the other has win. Calculate the probability that Alice will win this game.
2) Claire walks up and wants to join the game so she adds a card with her name into the pile.Now, if Alice draws Bob's card then he goes next and if she draws Claire's card then Claire goes next. At each turn, the person drawing a card will win if they draw their own card, and otherwise the turn will pass to whoever is named on the card. Every card is drawn independently with all three cards having equal probability. They continue to take turns until somebody wins. Calculate the probability of Alice winning, the probability of Bob winning, and the probability of Claire winning.
Determine the regression equation for predicting scholarly productivity (Y) from institutional comprehensiveness (X). For an institution with a comprehensiveness score of 175, predict the psychology department's scholarly productivity score
Are the data sufficient to that the herb has a significant effect on memory? Use a two-tailed test with α = .05.
Compare value of test statistics F obtained in part(2) with value of t 2 , square of test statistic for testing H 0 : β 1 =0 that was needed in test null hypothesis that true slope is 0. Interpret the results of this test.
a food manufacturer uses an extruder that yields revenue for the firm at a rate of 200 per hour when in operation.
The probability of Toyota building a new production plant is 70% and the probability of GM building a new one is 50%. The following are the probabilities associated with the countries Toyota would build a new plant:
Can college conclude that students in new program are significantly different from rest of freshmen class? Use two - tailed test with a = 0.05.
Based on surveys conducted in 1989 and 1999, a researcher compared the proportion of high school age females interested in a career in science in 1989 with the proportion in 1999. He concluded that the proportions were not significantly different ..
twenty percent of all telephones of a certain type are submitted for service while under warranty. of these 60 can be
describe a run chart and give an example. refer to the values on each of the axes as you describe the run
Determine the range and the standard deviation of the checking account balances. What do the first and third quartiles show?
40 percent of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are selected at randomhow many of the policyholders would you expect to have filed a claim within the last year?
in a gallop poll of 1005 randomly selected americans in april 2006 482 responded yes to the question do you consider
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