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For a binomial random variable X~ B(n = 8, p = 0.7), find the probability P(X= 2): P(X = 2) (Round the answer to 4 decimal places)

For a binomial random variable X~ B(n = 8, p = 0.7), find the probability P(X= 2): P(X = 2) (Round the answer to 4 decimal places)

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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#6 find the probability
**Problem Statement** For a binomial random variable \( X \sim B(n = 8, p = 0.7) \), find the probability \( P(X = 2) \). \[ P(X = 2) = \, \text{[ ]} \, (\text{Round the answer to 4 decimal places}) \] **Explanation** This exercise focuses on determining a specific probability for a binomially distributed random variable. The random variable \( X \) is defined with the parameters: - \( n = 8 \): The number of trials. - \( p = 0.7 \): The probability of success on each trial. The task is to compute the probability that \( X \) takes the value 2, i.e., the probability that there are exactly 2 successes in the 8 trials, and then round the answer to four decimal places.
Transcribed Image Text:**Problem Statement** For a binomial random variable \( X \sim B(n = 8, p = 0.7) \), find the probability \( P(X = 2) \). \[ P(X = 2) = \, \text{[ ]} \, (\text{Round the answer to 4 decimal places}) \] **Explanation** This exercise focuses on determining a specific probability for a binomially distributed random variable. The random variable \( X \) is defined with the parameters: - \( n = 8 \): The number of trials. - \( p = 0.7 \): The probability of success on each trial. The task is to compute the probability that \( X \) takes the value 2, i.e., the probability that there are exactly 2 successes in the 8 trials, and then round the answer to four decimal places.
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