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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:

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:

MATLAB: An Introduction with Applications
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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Can you answer the part b,Please. Can you use the Rstudio to figture this question. Thank you so much.

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? 0.0368 ii) What is the probability of getting at most 4 heads? 0.0473 (Enter your answer correct to at least 3 decimal places) iii) What is the probability of getting more than 4 heads? 0.9527 i) Compute the expected value. "X= ii) Compute the variance. = (Enter your answer correct to at least 3 decimal places) b) We now want to compute the expected value and variance of X. X (Enter your answer correct to at least 3 decimal places) (Enter the exact value) (Enter the exact value)
Transcribed Image Text: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? 0.0368 ii) What is the probability of getting at most 4 heads? 0.0473 (Enter your answer correct to at least 3 decimal places) iii) What is the probability of getting more than 4 heads? 0.9527 i) Compute the expected value. "X= ii) Compute the variance. = (Enter your answer correct to at least 3 decimal places) b) We now want to compute the expected value and variance of X. X (Enter your answer correct to at least 3 decimal places) (Enter the exact value) (Enter the exact value)
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