**Problem Statement:**Find \( P(S_N = 4) \) where \( N \) is a Binomial random variable with parameter \( r = 6 \) (number of times the experiment is performed) and \( p = 0.6 \).**Explanation:**- **Binomial Random Variable:** A random variable \( N \) is said to be binomial if it satisfies the criteria of a binomial experiment: fixed number of experiments, only two possible outcomes (success or failure), independent experiments, and constant probability of success. - **Parameters:** - \( r = 6 \): The number of experiments conducted. - \( p = 0.6 \): The probability of success in each experiment.The problem is to calculate the probability that the random variable \( S_N \) is equal to 4.

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Answered: Find P(SN = 4) where N is a Binomial…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Find P(SN = 4) where N is a Binomial random variable with parameter r = 6 (number of times the experiment is performed) and p = .6.