A Bernoulli random variable is one that assumes only two

Chapter 4, Problem 3E

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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.

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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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