Solved: Graphical Analysis The histograms shown below

Chapter 4, Problem 4E

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QUESTION:

The histograms shown below represent binomial distributions with the same probability of success p but different numbers of trials n. Match each value of n with the correct graph. Explain your reasoning. What happens as the value of n increases and p remains the same?

\(n=4,n=8,n=12\)

Equation Transcription:

Text Transcription:

n=4,n=8,n=12

Questions & Answers

QUESTION:

The histograms shown below represent binomial distributions with the same probability of success p but different numbers of trials n. Match each value of n with the correct graph. Explain your reasoning. What happens as the value of n increases and p remains the same?

\(n=4,n=8,n=12\)

Equation Transcription:

Text Transcription:

n=4,n=8,n=12

ANSWER:

Solution:

Step 1 of 4:

Let X follows the Binomial distribution with probability mass function.

P(X = x) =

Mean is np and variance is npq.


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