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An American roulette wheel contains 38 numbers: 18 are red, 18 are black, and 2 are green. When the roulette wheel is spun, the ball is equally likely to land on any of the 38 numbers. Suppose that you bet $1 on red. If the ball lands on a red number, you win $1; otherwise you lose $1. Let X be the amount you win on your $1 bet.
a) Determine the probability distribution of the random variable, X.
b) Find the expected value of the random variable, X. Interpret the expected value.
c) Approximately how much would you expect to lose if you bet $1 on red 100 times? 1,000 times?
d) Is this game fair for the players? Explain.
Lefties. Assume that 13% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below.
ten observations were selected from each of 3 populations and an analysis of variance was performed on the data. the
Based on these values, find the sample size required to provide an estimate of the mean TRAP with a margin of error of 1.5 U/l for 95% confidence
a group of 14 friends got together for a wine contest. each guest brought his or her favorite bottle of pinot noir.
Sketch the direction fields for the following ODE's. Make use of isoclines wherever possible.
in the major league baseball world series two teams a and b play a sequence of games against each other and the first
Critically discuss why you would or would not expect each of the following variables to be normally distributed.
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The number of successes in n trials is to be used to test the null hypothesis that the parameter θ of a binomial population equals 1/2 against the alternative that it does not equal 1/2.
Determine the variance of firm's profit for the month.
Knowing that your friend Angella studies for her tests only 40 percent of the time, you place an even bet with a third party that Angella will not study.
The mean and median selling price of existing single-family homes sold in October 2005 were $216,200 and $265,000. Which of the following most accurately explains which is the mean and which is the median and why?
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