Consider the following discrete random variables W is the number of times heads

Question

Consider the following discrete random variables W is the number of times heads is observed when a fair coin is tossed 10 times. X is the number of red balls drawn when 10 balls are drawn without replacement from an urn containing 50 red balls and 30 green balls. Y is the number of hearts received when a 10-card hand is dealt from a standard deck. Z is the number of hearts drawn when 1 card is drawn at random from each of 10 separate decks. Which of these random variables have a Binomial distribution? A. W only B. Z only C. W and Z only D. W, Y and Z only E. all of them

Explanation / Answer

here W and Z is binomial cause trails are fixed and probabilty is indepedent and does not change with each trail

hence option C is correct

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