please specify the answer and explain 24. A deck of cards is shuffled and you ch

Question

please specify the answer and explain

24. A deck of cards is shuffled and you choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and you again choose a card at random, observe its col denoting the number of draws required. The random variable X has which of the following probability distributions? or, and replace it in the set. This process is repeated until you get a red card with X a. the Normal distribution, with mean 26 and variance 13 b. the binomial distribution, with parameters n 52 and p 0.5 c. the binomial distribution, with parameters n- 26 and p 0.5 None of the above.

Explanation / Answer

There are 26 red cards out of 52 cards. That is probability of selecting a red card is,

p=P(red card)=26/52 = 0.5

Here X will have geomtric distribution with parameter p = 0.5.

Correct answer is d.

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