2a) Suppose you are given a discrete random variable X which takes the following values {-1, 1, 2, 3} with the following probabilities P(X = -1) = 0.1, P(X = 1) = 0.4, P(X = 2) = 0.3, P(X = 3) = 0.2. Write the corresponding cdf F(X = a) for all values of X. (2b) Consider a biased coin is flipped with a probability of coming up heads p = 0.7. What is the probability that in 12 flips, 5 of the flips are heads? (2c) Consider the same biased coin as the previous problem. What is the probability that in 12 flips, at least 10 of the flips are heads?

2a) Suppose you are given a discrete random variable X which takes the following values {-1, 1, 2, 3} with the following probabilities P(X = -1) = 0.1, P(X = 1) = 0.4, P(X = 2) = 0.3, P(X = 3) = 0.2. Write the corresponding cdf F(X = a) for all values of X. (2b) Consider a biased coin is flipped with a probability of coming up heads p = 0.7. What is the probability that in 12 flips, 5 of the flips are heads? (2c) Consider the same biased coin as the previous problem. What is the probability that in 12 flips, at least 10 of the flips are heads?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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