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| Question 346027:  1.What is the probability of choosing a face card from a deck of 52 cards (face cards are jacks, queens, and kings)? What is the probability of the 2nd card being a face card if the first card was a king? (Without replacement.)
 2.Compute the following and show your steps. 3! ÷ (0!*3!).
 3.We have a binomial experiment with p = .8 and n = 2.
 (1) Set up the probability distribution by showing all x values and their associated probabilities.
 (2) Compute the mean, variance, and standard deviation
 
 4.A class has 13 women and 18 men. If a student if chosen randomly, what is the probability the student is a woman?
 
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! 1.What is the probability of choosing a face card from a deck of 52 cards (face cards are jacks, queens, and kings)? Ans: 12/52
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 What is the probability of the 2nd card being a face card if the first card was a king? (Without replacement.)
 P(fc | k) = 11/51
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 2.Compute the following and show your steps. 3! ÷ (0!*3!).
 Ans:: = 3!/3! = 1
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 3.We have a binomial experiment with p = .8 and n = 2.
 (1) Set up the probability distribution by showing all x values and their associated probabilities.
 P(x=0) = 0.2^2
 P(x=1) = 2*0.8*0.2
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 (2) Compute the mean, variance, and standard deviation
 mean = np = 2*0.8 = 1.6
 variance = npq = 1.6*0.2 = 0.32
 std = sqrt(npq) = 0.5657
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 4.A class has 13 women and 18 men. If a student if chosen randomly, what is the probability the student is a woman?
 An: 13/31
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 Cheers,
 Stan H.
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