Which of the following example(s) do NOT satisfy the conditions for the binomial
ID: 3255902 • Letter: W
Question
Which of the following example(s) do NOT satisfy the conditions for the binomial experiment? Explain your answer in the next problem.
A coin is tossed 50 times. The random variable, X, is the number of heads that appear in 50 tosses.
A card is selected from a pack of 52 cards. "Suit" (heart/spade/club/diamond) is noted. The card is not replaced in the pack after it is selected. The experiment is performed ten times, and the random variable, X, is the number of Clubs.
One fourth of a certain breed of rabbits is born with long hair. In a litter of six rabbits, X is the random variable that represents the number of rabbits who have long hair
A card is selected from a deck of 52 cards and then replaced. The experiment is repeated five times and the number of clubs, X, is noted
A coin is tossed 50 times. The random variable, X, is the number of heads that appear in 50 tosses.
A card is selected from a pack of 52 cards. "Suit" (heart/spade/club/diamond) is noted. The card is not replaced in the pack after it is selected. The experiment is performed ten times, and the random variable, X, is the number of Clubs.
One fourth of a certain breed of rabbits is born with long hair. In a litter of six rabbits, X is the random variable that represents the number of rabbits who have long hair
A card is selected from a deck of 52 cards and then replaced. The experiment is repeated five times and the number of clubs, X, is noted
Explanation / Answer
Option-B)
Because, here the card is not replaced in the pack after it is selected. So, for first time the total sample space is 52 where as for 2nd time it is 51 and so on. Because of this the probability of each draw will not be same.
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