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.

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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The text passage contains a series of true/false questions and explanations, but no explicit mathematical questions or calculations.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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.

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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Coins can be redeemed for fabulous gifts.
user
The text passage contains a series of true/false questions and explanations, but no explicit mathematical questions or calculations.

TYPE: NO_QUESTION