Please use the Rstudio to figture out if possible, Thank you. A particular coin is biased. Each time it is flipped, the probability of getting a head is P(H) = 0.7 . Each flip is independent of theother flips.a) In a game, the coin is flipped 10 times. Let X be the total number of times the coin shows a head out of 10 flips. Calculate thefollowing probabilities:i) What is the probability of getting exactly 4 heads?ii) What is the probability of getting at most 4 heads?iii) What is the probability of getting more than 4 heads?i) Compute the expected value."x=(Enter your answer correct to at least 3 decimal places)ii) Compute the variance.b) We now want to compute the expected value and variance of X.34(Enter your answer correct to at least 3 decimal places)=(Enter your answer correct to at least 3 decimal places)(Enter the exact value)(Enter the exact value)c) When you play the game, you need to pay 8 dollars to enter the game, then you toss the coin 10 times. You win 4 dollars perhead. Let Y be the net amount you win when you play this game (once). c) When you play the game, you need to pay 8 dollars to enter the game, then you toss the coin 10 times. You win 4 dollars perhead. Let Y be the net amount you win when you play this game (once).i) How much money can you expect to win per game (net amount) if you play that game a very large number of times?$(Enter the exact value in dollars)ii) In order to assess how risky the game is, calculate the variance of Y.(Enter the exact value)

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A particular coin is biased. Each time it is flipped, the probability of getting a head is P(H) = 0.7 . Each flip is independent of the other flips. a) In a game, the coin is flipped 10 times. Let X be the total number of times the coin shows a head out of 10 flips. Calculate the following probabilities: i) What is the probability of getting exactly 4 heads?

A particular coin is biased. Each time it is flipped, the probability of getting a head is P(H) = 0.7 . Each flip is independent of the other flips. a) In a game, the coin is flipped 10 times. Let X be the total number of times the coin shows a head out of 10 flips. Calculate the following probabilities: i) What is the probability of getting exactly 4 heads?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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