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Solved: Graphical Analysis The histograms shown below
Chapter 4, Problem 4E(choose chapter or problem)
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.