Lottery: In the New York State Numbers lottery, you pay $3 and can bet that the sum of the numbers that come up is 13. The probability of winning is 0.085, and if you win, you win $7.50, which is a profit of $4.5. If you lose, you lose $3. Part: 0/2 Part 1 of 2 (a) What is the expected value of your profit? Round the answer to two decimal places. The expected value of profit is x 5

Q: A jar contains three coins: Coin I: It is a two-headed coin. Coin lI: It is a biased coin with…

A: Given that, Coin I: It is a two-headed coin with P(Head)=1 Coin II: IT is a biased coin with…

Q: Question A student takes a multiple choice examination with 10 questions, each with five possible…

A: Let X be the number of questions answered correctly among the 10 questions given. Then, X~ bin(n,p),…

Q: College Courses At a large university, the probability that a student takes calculus and is on the…

A: Let us define the two events as, A = the students takes calculus. B = the student is on the dean’s…

Q: Ethan needs an even number on his next two rolls using the number cube to win the game he is…

A: Given: Number of sides = 6 Number of even side numbered = 3 (2,4,6)

Q: Alex competes in two track events for his athletics team, 400m and hurdles. The tree diagram shows…

A: We have given a tree diagram of Alex completing two track events for his athletics team 400m and…

Q: Find the Indicaled PA or b)= (Simplify your answer. Type an integer or a decimal.) If P(A and B) =…

A: Given P(A and B)=0.4, P(A)=0.6, and  P(B)=0.5, find P(A or B)

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Independent events: If A and B are independent, then P(A and B)=P(A)×P(B)

Q: One of the wagers in the game of roulette is to place a bet that the ball will land on a black…

A: 18 black18 red2 green __________38 total balls  if balllands on black you win

Q: In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.…

A: In the question, given that:There is a wheel with spaces marked 0 through 36 and a space marked 00.

Q: th What is the probability that you don't find a coupon until your 1o™ try? O A. 0.0347 O B. 0.4167…

A: Given Data Probability of success,p = 0.15

Q: Find the probability that there is one H when a fair coin is flipped three times. % (Round the…

A: The objective is to find the probability that there is one H when a fair coin is flipped three…

Q: Probability scientist Atli decides to play in a lottery where there are many prizes on offer. The…

A: Let X represent the random variable n=10 p=0.01 X~ Binomial (10, 0.01)

Q: A fair coin is being tossed three times what is the probability that we will see exactly one tail…

A:

Q: An investment opportunity has two possible outcomes. One outcome yields a $150 payoff and has a…

A: Given, Payoff of $150 with a probability of 0.3 Payoff of $50 with a probability of 0.7

Q: X y 46.6 156.6 43.7 71.6 49.5 57.4 -0.6 -12.3 17.2 25.7 55.2 39.1 -0.7 27.5 23.1 35.4 34.5 42.3 24.8…

A: Given:

Q: The probability that if we choose 10 people randomly there are at least 2 smokers is 0.85. The…

A:

Q: (a) A red card P (red card) = %3D

A: Total number of cards in a deck = 52 Number of red cards = 26

Q: #LP: A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from…

A: 5 red ballsx blue balls__________5+x total ballsP(blue) = 3P(red)x = ?

Q: The probability that the head of a household is home when a telemarketer calls is 0.4. Given that…

A:

Q: Use the chart below to answer questions 1-6 about the ACT's. The ACT is a standardized test used by…

A:

Q: 0482 Start A game-show spinner has these odds of stopping on particular dollar values: 60% for $10,…

A: Solution: Given that,

Q: Directions: Solve the given problem. Show your solutions and the Minitab-generated report. 1. In a…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: An insurance policy costs $105 per year and insures the items in the policy owner's home against…

A: We know the formula for expected return is : Here there are two scenarios ,  Either there will be a…

Q: Part 1 Directions: Using a spinner, conduct an experiment to compare experimental probability with…

A: The objective is to compare experimental probability with theoretical probability using the spinner.…

Q: Subject- Statistics and Probability Instruc: A tennis player has to play 3 consecutive games.…

A: Let X be the number of win game  let p be the probability of win the game  n=number of game

Q: Belief in UFOs A survey found that 10% of people believe that they have seen a UFO. Choose a sample…

A:

Q: Amusement Park Game At an amusement park basketball game, the player gets 4 throws for $1. If the…

A: It is given that probability that Mary makes about 70% of her shots. Hence the probability that Mary…

Q: ou decide to learn a new hobby and take up archery. You can hit the target 34% of the time. If you…

A: Given Data: The probability of hitting a shot on the target is: p=0.34 The total number of shots…

Q: 9) A golfer putts the ball into the hole 48.7% of the time (if wihtin 10 feet of the hole). Find the…

A: Let us assume X= number of times he put the ball in the hole. Number of trials = n= 7 Probability of…

Q: Two dice are thrown Find the probability that the sum of 3. points on them is 5 or 9.

A:

Q: Question 9 The probability of (E) is 0.97. Find the odds against (E).

A: Answer:9-  Given, the probability P(E) = 0.97                   Find the odds against (E)

Q: event of a fire, the insured damages (the payout on the policy) will be $340,000. lake a table of…

A: Solution : Given that:a) Make a table of the two possible payouts on each policy with the…

Q: You're a small insurance company that insures 2000 people. Let's say that 1 house will flood per…

A: Given,the insurance company insures the flooded houses..To find the monthly charge by the insurer…

Q: dice game works like this: If you roll a 1, 2 or 5, you lose $60. If you roll a 3, you win $300. If…

A:

Q: Job satisfaction: In a poll, 405 out of 1741 people said that their next phone will be an Android.…

A:

Q: GED: In a certain high school, the probability that a student drops out is 0.05, and the probability…

A: Given,P(a student drops out)=0.05P(dropout gets a GED)=0.33