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5. You play a game using an unfair coin. Suppose that each time the coin is...
An unfair coin is flipped. If a head turns up, you win $1. If a tail...
An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The probability of a head is.36 and the probability of a tail is .64. Let X be the random variable for the amount won on a single play of this game. What is the expected value of the game? E(X)= dollars (Type an integer or a decimal. Round to the nearest cent as needed.)
An unfair coin is flipped. If a head turns up, you win $1. If a tail...
An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The probability of a head is .61 and the probability of a tail is .39 Let X be the random variable for the amount won on a single play of this game. What is the expected value of the game?
Suppose you toss an unfair coin 8 times independently. The probability ofgetting a head is 0.3....
Suppose you toss an unfair coin 8 times independently. The probability ofgetting a head is 0.3. Denote the outcome to be 1 if you get a head and 0 if a tail. (i) Write down the sample space Ω. (ii) What is the probability of the event that you get a head or a tail at least once? (iii) If you get eight same toss's you will get x dollars, otherwise you will lose 1 dollar. On average, how large...
Suppose that a fair coin is tossed ten times. Each time it lands heads you win...
Suppose that a fair coin is tossed ten times. Each time it lands heads you win a dollar, and each time it lands tails you lose a dollar. Calculate the probability that your total winnings at the end of this game total two dollars, and the probability that your total winnings total negative two dollars.
o An unfair coin is flipped. If a head turns up, you win 31.a tallume up...
o An unfair coin is flipped. If a head turns up, you win 31.a tallume up you lose 31. The probably of head and the probably of a tall is 47. Lot X be the random variable for the amount won on a single play of this game. What is the expected of the game EX)-dollars (Type an integer or a decimal Round to the nearestent as needed)
Problem(13) (10 points) An unfair coin is tossed, and it is assumed that the chance of...
Problem(13) (10 points) An unfair coin is tossed, and it is assumed that the chance of getting a head, H. is (Thus the chance of setting tail, T. is.) Consider a random experiment of throwing the coin 5 times. Let S denote the sample space (a) (2 point) Describe the elements in S. (b) (2 point) Let X be the random variable that corresponds to the number of the heads coming up in the four times of tons. What are...
Suppose you make a dollar bet on a game in which there is a 1 in 5 chance to win
Suppose you make a dollar bet on a game in which there is a 1 in 5 chance to win. If you win, you win two dollars. On average, you will lose playing this game and each play costs you _______ cents. If you play 200 times, you can expect to lose around _______ dollar .You play roulette betting one dollar on the number 5 each time. The bet pays 35 to 1. You have a 1 in 38 chance to...
It’s the same game as before with the same rules: in each round a fair coin...
It’s the same game as before with the same rules: in each round a fair coin is tossed and if it comes up heads you win $1, and if it comes up tails you lose $1. The game consists of 50 such rounds. Your net gain at the end of the game is defined as the total amount of money won by you during the game minus the total amount of money lost by you during the game. Having studied...
35. You and I play the following game: I toss a coin repeatedly. The coin is...
35. You and I play the following game: I toss a coin repeatedly. The coin is unfair and P(H) = p. The game ends the first time that two consecutive heads (HH) or two consec- utive tails (TT) are observed. I win if (HH) is observed and you win if (TT) is observed. Given that I won the game, find the probability that the first coin toss resulted in heads?
Problem 4: You flip a fair coin three times. Each time you get a head, you...
Problem 4: You flip a fair coin three times. Each time you get a head, you win S2. Each time you get a tail, you lose $1. What is your expected winning from this game?
An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The probability of a head is.36 and the probability of a tail is .64. Let X be the random variable for the amount won on a single play of this game. What is the expected value of the game? E(X)= dollars (Type an integer or a decimal. Round to the nearest cent as needed.)
Suppose that a fair coin is tossed ten times. Each time it lands heads you win a dollar, and each time it lands tails you lose a dollar. Calculate the probability that your total winnings at the end of this game total two dollars, and the probability that your total winnings total negative two dollars.
o An unfair coin is flipped. If a head turns up, you win 31.a tallume up you lose 31. The probably of head and the probably of a tall is 47. Lot X be the random variable for the amount won on a single play of this game. What is the expected of the game EX)-dollars (Type an integer or a decimal Round to the nearestent as needed)
Problem(13) (10 points) An unfair coin is tossed, and it is assumed that the chance of getting a head, H. is (Thus the chance of setting tail, T. is.) Consider a random experiment of throwing the coin 5 times. Let S denote the sample space (a) (2 point) Describe the elements in S. (b) (2 point) Let X be the random variable that corresponds to the number of the heads coming up in the four times of tons. What are...
35. You and I play the following game: I toss a coin repeatedly. The coin is unfair and P(H) = p. The game ends the first time that two consecutive heads (HH) or two consec- utive tails (TT) are observed. I win if (HH) is observed and you win if (TT) is observed. Given that I won the game, find the probability that the first coin toss resulted in heads?
Problem 4: You flip a fair coin three times. Each time you get a head, you win S2. Each time you get a tail, you lose $1. What is your expected winning from this game?
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