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A Las Vegas roulette wheel contains 38 numbers: 1-36, plus 0 and 00. The numbers 0 and 00 are colored green. The odd numbers from 1-36 are colored red and the even numbers from 1-36 are colored black. One betting option is to bet on "black." If you bet a dollar on black and the roulette ball lands on black, you get your dollar back and the house pays you an additional dollar. If you bet a dollar on black and the ball lands on red or green, then you will lose your dollar. Let X be the random variable indicating the amount of money you will win if you bet $1 on black. Use positive numbers for money you win and negative numbers for money you lose.
(a) Compute the probability mass function for X.
(b) Compute the expected value E(X).
(c) Compute the variance V(X).
What is the probability that of today's 1,100 callers at least 5 received a busy signal? Use the poisson approximation to the binomial.
Find a 90% confidence interval for the population mean weight of all such turtles.
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
Your company has experienced problems with employee morale and productivity. The consultant that was hired submits a report that includes opinions and data collected from 300 secretaries and clerks as well as 75 senior managers.
In a poll of 500 randomly selected voters, 260 of them support the strategist's candidate. At = .05, is the political strategist's claim warranted?
Determine if there is evidence of a difference in the mean prices of drugs at the three online sites and use the Tukey procedure to determine which site prices differ?
Describe the difference between sample and a sampling distribution. Your reply must be in complete sentences and you may use sketches to help you.
Compute the p-value associated with the above sample results, and explain what conclusion can be drawn bases on the p-value?
What would be your recommendation to the local Farm Bureau for estimating the average loss of production per acre, given the data you have at hand?
The Federal minimum wage is $7.25 (effective July 2009). If an employee earns the new minimum wage, how many complaints can that employee expect to receive?
Mean income with an error of $500 can be constructed. If the population standard deviation is known to be $8,000 what sample size would the economist need to use?
The medical school at a university, if 10 medical students are randomly selected for that school. find the probability that only 4 of them will graduate.
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