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St. Petersburg problem (or paradox?). How much would you be wilIing to pay to play the following game of chance. A fair coin is tossed by the player until heads appears. If heads appears on the first toss, the bank pays the player 1 dollar. If heads appears for the first time on the second throw the bank pays the player 2 dollars. If heads appears for the first time on the third throw the player receives 4 = 22 dollars. In general, if heads appears for the first time on the nth throw, the player receives 2n - 1 dollars. The amount of money the player will win in this game is a random variable; find its mean. Would you be willing to pay this amount to play the game? (For a discussion of this problem and why it is sometimes called a paradox see T. C. Fry, Probability and Its Engineering Uses, Van Nostrand, New York, 1928, pp. 194-199.)
If someone rents a piece of land and plants crops on it, the landlord is never permitted to come and take those crops for himself when harvest time arrives.
The manufacturer considers the bottom 5% of the cats underweight and the top 10% overweight. Compute what weight range should be specified for each of the three categories.
The city are below $25,000. Find the mean of the annual household incomes of this city. It is assumed that the annual household incomes follow a normal distribution.
given that the scores on a medical test follow a normal distribution with a mean of 460 and a standard deviation of
How large a sample is required for you to be 99% sure that the estimate of the mean invoice size is accurate within $5?
You have Xs and Os (nine of each) in a bag near a tic-tac-toe board. You arbitrarily select an X or an O, and then you place it arbitrarily on the board.
What is an instance in modern America of people following a trend set by the President or a member of the President's family
Assume that the results would be similar to those in your test-that is, 65% of the subjects had better UVA and UVB protection with your product. Perform the significance test and summarize the results.
Using principal components determine whether it is possible to discriminate between the attic and nonattic measurements using a PCA of the matallic oxides.
question pizza hut wishes to find the 90 confidence interval of the true mean cost of a medium veggie pizza. how large
What is the probability that at least 2 out of 5 randomly selected people in the study will pay more than the amount found in part (a)?
(a) Find the probability that both adults dine out more than once per week. (b) Find the probability that neither adult dines out more than once per week.
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