Question

For each of the following situations indicate the appropriate distribution to model the random variable, X. 7.

Five cards are selected randomly, without replacement from a deck of 52 cards. Let X= the number of kings selected. Which model is appropriate? A. Hypergeometric B. Geometric C. Binomial D. None of these

8. Cards are selected randomly, without replacement from a deck of 52 cards until the first king is selected. Let X= the number of cards picked to get the first king. Which model is appropriate? A. Hypergeometric B. Geometric C. Binomial D. None of these

9. Five cards are selected randomly, with replacement from a deck of 52 cards. Let X= the number of kings selected. Which model is appropriate? A. Hypergeometric B. Geometric C. Binomial D. None of these

Answer 1

7. Hypergeometric distribution will be appropiate as becuse cards are selected without replacement and there are only 4 kings and 48 other cards. So, the random variable X keeps track how many kings are being drawn.

8. None of these. As both geometric and binomial distribution works with the assumption of with replacement and there is no question of hypergeometric.

9. Binomial distrinution with prametre n = 5 and p = 4/52 =1/13. As cards are drawn are with replacement and for finite number of times.