## Binomial Distribution CalculationConsider a binomial random variable \(X\) that follows the distribution \(X \sim B(n=3, P=2/3)\). Use the binomial distribution formula to compute the following:### CalculationThe probability \(P(X = 0)\) is:1. \(\frac{7}{27}\)2. \(\frac{3}{27}\)3. \(\frac{14}{27}\)4. \(\frac{1}{27}\)### ExplanationTo determine \(P(X = 0)\), use the binomial probability formula:\[ P(X = k) = \binom{n}{k} P^k (1-P)^{n-k} \]- \( n = 3 \)- \( k = 0 \)- \( P = \frac{2}{3} \)Substitute these values into the formula and solve.

Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Answered: Suppose X-B(n=3; P=2/3). Use the…

Suppose X-B(n=3; P=2/3). Use the binomial distribution formula to compute the following: P(X = 0) is: 7/ 27 3/ 27 14/ 27 1/ 27

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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