Four cards are selected, one at a time, from a standard deck of ...

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Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in the set of 4 cards. If this experiment is completed with replacement, explain why x is a binomial random variable.

Question 2

A data sample has a mean of 87, and a median of 117 . The distribution of the data is positively skewed.
  Indicate whether the statement is true or false

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Answer to Question 1

x is a binomial random variable because the trials are independent. n = 4, the number of trials; two outcomes, success = ace and failure = not ace; p = P(ace) = 4/52 and q = P(not ace) = 48/52; x = n (aces drawn in 4 trials) and could be any number 0, 1, 2, 3 or 4 . Further, the probability of success (get an ace) remains 4/52 for each trial throughout the experiment, as long as the card drawn on each trial is replaced before the next trial occurs.

Answer to Question 2

F

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