Consider the roulette wheel game where a player bets $1 on the ball land- ing on a single number when there are 38 numbered pockets. Then, if the ball lands on their number they receive $36 dollars back, otherwise they lose the one dollar bet. As- sume that the ball is equally likely to land in any of the 38 numbered pockets on the wheel. Find the variance of the random variable describing the betting results from this game.

Q: real estate agent’s rate of success to make a sale among his customers is 20%. In a normal workweek,…

A: From the given information we find the solution.

Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: Suppose you and your brother play a Ludo game, the winning probability of your brother is 0.04. Find…

A: In the given situation, you and your brother play a Ludo game. The winning probability of brother is…

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Supposean individual plays a gambling game where it is possible to lose $1.00, break even, win…

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Q: Another game on The Price Is Right requires the contestantto spin a wheel with the numbers 5, 10,…

A: To find: The probability that the contestant spins 100 or 30. Given: The numbers on the wheel is…

Q: In a statistics class, there are 18 male and 10 female students; 6 of the females are from the…

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Q: Give conditional variance.

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Q: When rolling a pair of dice, what is the probability of getting a shm of 5?

A:

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: Kathryn has classes 4 days a week. She attends the class 4 days a week 60% of the time, 3 days 20%…

A: Given: Kathryn has classes 4 days a week.  She attends the class 4 days a week 60% of the time, 3…

Q: Consider a gambler who at each gamble is equally likely to either win or lose $1. Suppo that the…

A: From the given information, Each gamble is equally likely to either win or lose $1. P(1)=P(-1)=1/2…

Q: If the probability of the Seattle Mariners winning the World Series is 3/26 What are the odds of the…

A: Given the probability of the Seattle Mariners winning the World Series is, P(win) = 3/26.

Q: representing the number of even number outcome

A: We know that the  If a person tosses one die then he or she may get  S={1,2,3,4,5,6} as a sample…

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: A white goose hunter kills 60% of the geese he kills he shoots. Calculate the probability that with…

A: Probability that a white goose hunter kills the geese(p)=0.60sample size(n)=10Let "x" be that the…

Q: suppose that a factory produces light bulbs and the percentage of defective lightbulbs is 3.5%. if a…

A: Probability of  defective lightbulbs(p)=0.035sample ssize(n)=550Let "x" be the no. of defective…

Q: In a bag, there are 8 red balls,  and 2 pink balls.  You pay 5 dollars to draw 2 balls.  If you draw…

A: In a bag, there are 8 red balls,  and 2 pink balls Total = 10 We also have to pay $5 to play the…

Q: Find the probability distribution of the sum of the dots when two fair dice are rolled.

A:

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

A: if a pair of dice rolled than the possible outcomes…

Q: In the experiment of rolling two dice, what is the probability that the difference between the…

A:

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

A:

Q: The World Series in baseball ends when a team wins four games. Suppose that the Cardinals and the…

A:

Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…

A:

Q: In monopoly, a player rolls two 6-sided dice and moves the sum of the values shown. If it's your…

A: The player rolls a two 6-sided dice and moves the sum of the values shown. If it's your turn to roll…

Q: An experiment consist of rolling two fair dice and adding the dots on the two sides facing up. Find…

A: Two fair dice rolled and adding the dots on the two sides facing up.The number of possible outcomes,…

Q: You wish to play a three-number lottery with your favorite data 8, 2 and 5.  After a number is…

A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement,…

Q: What is the probability of a dice showing a 2 or 5?

A: A dice is rolled.

Q: games. Suppose they play seven games against the New York Islanders in a season. What is the…

A: It is given that the probability of win the games is p = 63.4% = 0.634 of the New York Rangers. The…

Q: Professor Ramos will participate in a lottery that will be played by five hundred participants. He…

A: Total number of participants = 500 (This implies 500 lottery tickets are there) Professor Ramos buys…

Q: In tennis scoring, a ‘game’ is won by the first player to win 4 points. Suppose player A has…

A: The given score is 4-1. This means the total number of matches played= 4+1=5 Player A won 4 times.…

Q: A slot machine has 3 dials. Each dial has 30 positions, one of which is "jackpot" position. Assuming…

A:

Q: Suppose X is an outcome in throwing a fair die. Find the mean and variance

A: Given X is an outcome in throwing a fair die and we want the mean and variance.

Q: A researcher finds that the odds of catching a grouper on a fishing expedition are 3:1. Find the…

A: From the given information, A researcher finds that the odds of catching a grouper on a fishing…

Q: If the probability of a person losing on a scratch-off lottery ticket is 0.955, the odds of losing…

A:

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

A:

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

Q: for the experiment of rolling and ordinary pair of dice, find the probability that the sun will be…

A: