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1. In a class there are 20 students: 3 are 5' 6", 5 are 5'8", 4 are 5'10", 4 are 6', and 4 are 6' 2". A student is chosen at random. What is the student's expected height?
2. In Las Vegas the roulette wheel has a 0 and a 00 and then the numbers 1 to 36 marked on equal slots; the wheel is spun and a ball stops randomly in one slot. When a player bets 1 dollar on a number, he receives 36 dollars if the ball stops on this number, for a net gain of 35 dollars; otherwise, he loses his dollar bet. Find the expected value for his winnings.
Find the strategy which will allow you, the second player, to win at least 2/3 of the time. More specifically, for each possible choice of your opponent, find the choice that gives you the maximum probability of winning and calculate that probabil..
1. the maker of a shampoo knows that customers like this product to have a lot of foam. ten sample bottles of the
consider a fair coin which when tossed results in either heads h or tails t. if the coin is tossed two timesa list all
if the conditions of a survey sample satisfy those required by the central limit theorem then there is a 95 probability
a childs set of blocks consists of 2 red 4 blue and 5 yellow cubes. the blocks can be distinguished only by color. if
the image of the public library is constantly changing and their online services continue to grow. usage of the
If you test the null hypothesis at the 0.01 level of significance, is there evidence that the new process has reduced turnaround time? Interpret the meaning of the p-value in this problem.
How large a sample is needed to reduce the margin of error to at most 0.01 (or 1%)? Be conservative by not assuming the sample proportion (obtained from the sample of 500) as the reasonable guess for p. Use the confidence level you found in part (..
a standardized exam scores are normally distributed. in a recent year the mean test score was 20.6 and the standard
explain the basic idea for performing a hypothesis test based on independent samples to compare two population
At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
the heights of 1 year old children are normally distributed with a standard deviation of .75 inches and a mean of 28.3
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