Question

Discrete Random Variables have either a finite or countable number of values. True False An example...

Discrete Random Variables have either a finite or countable number of values.

True
False

An example of continuous variables is bushels of wheat per acre.

True
False

The Mean Value of a discrete probability distribution (denoted by mu is a weighted average of the x-values AND represents the average values of all possible outcomes.

True
False

Explain why in a binomial probability distribution, p + q =1. Make one sentence work.

Math   Statistics-And-Probability   
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Answer #1

If a random variable can take only a finite number of distinct values, then it must be discrete. Thus, Discrete Random Variables have either a finite or countable number of values. This is a True statement.

Bushels of wheat per acre is a numerical continuous variable. This is a True statement.

The Mean Value of a discrete probability distribution is given as,

Thus, Mean Value of a discrete probability distribution is weighted average of the values that X can take, with weights provided by the probability distribution.  This is a True statement.

In a binomial probability distribution, there are only two possible outcomes - success with probability p and failure with probability q. The sum of probabilities of all outcomes is 1. Thus, p + q = 1

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