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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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