2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 12. Let Ăn = ½/2 Σï=₁ Xį be the sample mean of first n coin tosses. n (a) What is the E[X100]? (b) What can you say about the probability that the sample mean X100 lies between 40 and 60?
2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 12. Let Ăn = ½/2 Σï=₁ Xį be the sample mean of first n coin tosses. n (a) What is the E[X100]? (b) What can you say about the probability that the sample mean X100 lies between 40 and 60?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 66E
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![2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 2. Let
X₁ = 1/2₁ X₁ be the sample mean of first n coin tosses.
n
(a) What is the E[X100]?
(b) What can you say about the probability that the sample mean X100 lies
between 40 and 60?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97e612ef-1556-436b-b62c-352b280e9e69%2F6e7c42c0-f316-4e66-b72c-658955eda63e%2F2i5g489_processed.png&w=3840&q=75)
Transcribed Image Text:2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 2. Let
X₁ = 1/2₁ X₁ be the sample mean of first n coin tosses.
n
(a) What is the E[X100]?
(b) What can you say about the probability that the sample mean X100 lies
between 40 and 60?
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