16810In a Las Vegas casino, gamblers lose a mean of $0.17 on each roulette game, with a standard deviation of $3.98. (Since the standard deviation is quite highwith respect to the mean, roulette players often win money on a bet.) Suppose a gambler plays roulette for 150 bets straight. What is the probability that hewill be winning after 150 bets? (Hint: He is winning when the amount of his total earnings is positive.)Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

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Answered: In a Las Vegas casino, gamblers lose a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two gamblers bet $1 each on the successive tosses of a coin: i.e., at each coin toss, player 1 pays $1 to player 2 if the coin shows ‘Heads’, and player 2 pays $1 to player 1 if the coin shows ‘Tails’. What is the mean and the standard deviation of the total winnings (measured in $, winnings can be negative) of player 1 after 6 tosses?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
Body temperature. Suppose the body temperature of healthy individuals is approximately normally distributed with a mean of 37.0°C and a standard deviation of 0.4°C. a. If 130 healthy individuals are randomly selected, what is the probability that the average temperature for these individuals is 36.80°C or lower? b. Would you consider an average temperature of 36.80°C as unlikely to occur if the true average temperature of healthy individuals is 37.0°C?
The average student loan debt for college graduates is $25,650. Suppose that that distribution is normal and that the standard deviation is $14,350. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.b Find the probability that the college graduate has between $28,800 and $41,400 in student loan debt. c. The middle 20% of college graduates' loan debt lies between what two numbers? Low: $ High: $
7a. Suppose you go to Alaska in February where the chance of snow is .90 (90 percent). You are there for two days. Make the probability distribution associated with this experience. b. Find the mean, variance, and standard deviation for number 7.
3. After being nominated for an MTV Music Award, the probability of winning is 22%. If Ariana Grande has been nominated for five awards, what is the chance that she will win at least one award? How many awards should she expect to win? What is the standard deviation associated with this probability?
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $138,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 19 graduates. Round all answers to four decimal places if necessary. For a single randomly selected graduate, find the probability that her salary is between $141,759 and $156,006. For a simple random sample of 19 graduates, find the probability that the average salary is between $141,759 and $156,006.
Suppose (rounded to the nearest thousand) that the mean cost of a house is $152,000 with a standard deviation of $44,000 in Pittsburgh and that house prices are normally distributed. Between what two prices do the middle 95% of houses fall in Pittsburgh? Find the probability that a house costs less than $100,000. If you are in the market for one of the most expensive 10% of houses, what price range are you exploring?

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