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Homework answers / question archive / Naval Post Graduate School week 3 Quiz Question 1 of 5 Which of the following statements is correct?    A

Naval Post Graduate School week 3 Quiz Question 1 of 5 Which of the following statements is correct?    A

Statistics

Naval Post Graduate School week 3 Quiz

Question 1 of 5

Which of the following statements is correct?
 
  •  A. A random variable is a subset of the sample space.
  •  B. If a discrete random variable has three possible values 1, 2, and 3, then its expected value has to be one of these three values.
  •  C. If the set of possible values of a random variable is {-2, -1, 0, 1, 2, 3}, then it is a discrete random variable.
  •  D. The expected value of a random variable measures the variability of the random variable.
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Question 2 of 52 Points

 
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What follows is a numeric fill in the blank question with 1 blanks.

Consider a random variable X with the following probability mass function P(X=1)=0.1, P(X=2)=0.5, P(X=3)=0.4. What is the expected value (or mean) of X?  Blank 1. Fill in the blank, read surrounding text.  
 

Question 3 of 52 Points

 
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What follows is a numeric fill in the blank question with 1 blanks.

Consider a random variable X with the following probability mass function P(X=1)=0.6, P(X=3)=0.2, P(X=4)=0.2. What is the variance of X?  Blank 1. Fill in the blank, read surrounding text.  
 

Question 4 of 52 Points

Which of the following random variables follows the binomial distribution?
 
  •  A. The number of dice that land on 2, when I roll 3 fair dice at the same time.
  •  B. The number of games won by San Francisco 49ers in a regular season of 16 games, where each week they play a different team.
  •  C. The number of diamond-suit cards in a poker hand of 5 cards, when these 5 cards are randomly drawn from a regular deck of 52 cards.
  •  D. The number of times I need to throw a fair coin until the head comes up for the first time.
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Question 5 of 52 Points

A test contains 10 multiple-choice questions. Each question has 4 answers and only 1 answer is correct. Suppose a student just randomly selects an answer for each question. What is the probability that the student will answer 2 or fewer questions correctly.
 
  •  A. 0.2816
  •  B. 0.5625
  •  C. 0.5256
  •  D. 0.0625
  •  E. 0.0547
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