Question

1) Answer the following problem, give an example if needed. a) How do you find the...

1) Answer the following problem, give an example if needed.

a) How do you find the expected value of a discrete random variable?

b) What does a probability density function measure?

Math   Statistics-And-Probability   
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Answer #1

Question 1a)

Suppose, a discrete random variable takes values

with corresponding probabilities

Then the expected value of the random variable is found by the formula

Let, X is a random variable taking values 1,2, and 4, with chances 1/4, 1/2 and 1/4 respectively.

Then the expected value of X is

Question 1b)

A probability density function measures the probability that a certain continuous random variable lies within a given range.

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