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Three balls are randomly chosen (without replacement) from an urn containing 3 red, 4 white, and 5 blue balls. Suppose that you will win $3 for each white ball selected and lose $2 for each red selected. You win $0 for each blue ball selected. Let X denote the amount of money you have after the game.
a) Write out the pmf of X. Show how you determined this.
b) What is the probability that you lose money?
c) What is the probability that you come break even (i.e. you have $0) at the end of game?
d) What is the probability that you win at least $5?
e) Given that you won some money, what is the probability that you won at most $4?
f) What is the expected amount of money you have at the end of the game?
g) If you had to pay $1 to play the game, would this be a good investment? Explain why or why not.
A vending machine dispenses coffee into a twelve ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.08 ounce.
In a survey of 474 US women, 365 said that the media has a negative effect on women's health because they set unattainable standards for appearance. Find a point estimate for p. Construct a 95% confidence interval for the population proportion p.
Assume that about 50% of the population is male, so the probability that a person who has been elected to the state assembly is a male is 50%.
Another quote in the article is In response to the influenza vaccine, the meditators displayed a significantly greater rise in antibody titers.
Formulate a linear programming model, and then solve it, to determine how many hours process 1 should be operated each week and how many hours process 2 should be operated each week.
Optimization models have been used in operations and supply chains, finance, marketing, and other disciplines for many years to help managers efficiently allocate resources and make cost-effective, profitable decisions. Build a specific example of..
listed below are the playing times in seconds of songs that were popular at the time of this writing. find the amean
(a) Set up the transition matrix for this absorbing Markov chain, where the states correspond to the number of cards that Mary has. (b) Find the fundamental matrix. (c) On the average, how many moves will the game last?
However, on a school-wide basis the correlation is .50. Assuming these results to be typical, what explanation do you suggest?
There is a famous saying in statistics that "Correlation does not imply causation". Please address the following questions:
Suppose that possibility of being seated at two restaurants are independent of each other, determine the probability that. Both restaurants will be able to seat you next Saturday night?
What would be your best point estimate for average Sales in weeks for which Newspaper advertising were $1 million? What would be an appropriate interval estimate for this?
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