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A Bernoulli random variable is one that assumes only two
Chapter 4, Problem 3E(choose chapter or problem)
A Bernoulli random variable is one that assumes only two values, 0 and 1 with p(1) = p and \(p(0)=1-p \equiv q\)
a. Sketch the corresponding distribution function.
b. Show that this distribution function has the properties given in Theorem 4.1.
Questions & Answers
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QUESTION:
A Bernoulli random variable is one that assumes only two values, 0 and 1 with p(1) = p and \(p(0)=1-p \equiv q\)
a. Sketch the corresponding distribution function.
b. Show that this distribution function has the properties given in Theorem 4.1.
ANSWER:Step 1 of 3
Let us consider a random variable X it follows Bernoulli distribution with parameter ‘p’.
And range from 0 and 1 with P(0) = p and P(1) = 1 - p
= q.
Here our goal is:
a). We need to sketch the corresponding distribution function.
b). We need to show that this distribution function has the properties given in Theorem 4.1.
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