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Chapter 5 Probability Distributions (Discrete Variables)

Chapter 5 Probability Distributions (Discrete Variables)

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MTH 160<br />

Statistics I<br />

Brigitte Martineau <strong>Chapter</strong> 5<br />

2) A die is rolled 20 times and the number of “fives” that occurred is reported as the random<br />

variable. Explain why x is a binomial random variable.<br />

<br />

Trials<br />

n :<br />

Success: Failure:<br />

p : q :<br />

x :<br />

The Binomial <strong>Probability</strong> Function<br />

n<br />

x nx<br />

P( x) p q , for x 0,1,2,3,...<br />

x<br />

<br />

What is n <br />

?<br />

x<br />

<br />

What is<br />

p x ?<br />

What is q n x ?<br />

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