text: 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
  
  #### Earn Coins
  
  Coins can be redeemed for fabulous gifts.
explanation: The document contains multiple questions and their corresponding answers. It discusses the properties of discrete and continuous random variables, the mean value of a discrete probability distribution, and the sum of probabilities in a binomial distribution.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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
  
  #### Earn Coins
  
  Coins can be redeemed for fabulous gifts.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains multiple questions and their corresponding answers. It discusses the properties of discrete and continuous random variables, the mean value of a discrete probability distribution, and the sum of probabilities in a binomial distribution.
  
  Label: multiple-question-and-answer