Question

when three coind tossed the probability distribution for the random variable X representing the number of heads that occur is given below.compute the variance and standard deviation of the probability distribution
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Answer 1

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Answer 2

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LEARNING OBJECTIVES

To learn the concept of the probability distribution of a discrete random variable.

To learn the concepts of the mean, variance, and standard deviation of a discrete random variable, and how to compute them.

Probability Distributions

Associated to each possible value x of a discrete random variable X is the probability P(x) that X will take the value x in one trial of the experiment.

Definition

The probability distribution of a discrete random variable X is a list of each possible value of X together with the probability that X takes that value in one trial of the experiment.

The probabilities in the probability distribution of a random variable X must satisfy the following two conditions:

Each probability P(x) must be between 0 and 1: 0≤P(x)≤1.

The sum of all the probabilities is 1: ΣP(x)=1.

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