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Chapter 5: Q 5.151. (page 242)

Explain the significance of binomial coefficients with respect to Bernoulli trials.

Short Answer

Expert verified

The number of outcomes that have exactly x number of successes in nxBernoulli trials is defined as the Binomial Coefficients.

Step by step solution

01

Step 1. Given information.

The given statement is:

Explain the significance of binomial coefficients with respect to Bernoulli trials.

02

Step 2. The significance of binomial coefficients with respect to Bernoulli trials.

Binomial Coefficients:

The binomial coefficient nxis defined as follows:

nx=n!x!n-x!,

where n is a positive integer and x is a non-negative integer less than or equal to n.

As a result, the number of outcomes with exactly xsuccesses in "n" Bernoulli trialsnx is known as the Binomial Coefficients.

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