Question

What is the correct answer to this Statistics multiple-choice question?

Question 10 1 pts Which of the following random variables has a geometric distribution? O There are 20 red marbles and 10 blue marbles in a jar. An experiment consists of selecting a marble without looking, noting the color, and then replacing the marble in the jar. X is the number of marbles that are red. O A student studies distributions using computer-assisted instruction. After the initial instruction is completed, the computer presents 10 problems. The student solves each problem and enters the answer; the computer gives additional information if the student's answer is wrong. The number of problems that the student solves correctly is counted. O The pool of potential jurors for a murder case contains 100 persons chosen at random from the adult residents of a large city. Each person in the pool is questioned separately if they oppose the death penalty.X is the number that says “Yes." 1 in 4 eggs contain salmonella. Bill believes he is invincible and will continue to drink a raw egg smoothie until he gets salmonella. X is the number of raw eggs he will eat until he gets poisoned. O A dealer in a Las Vegas Casino selects 40 cards with replacement from a standard deck of 52 cards. X is the number of red cards (hearts or diamonds) in the 40 selected cards.

Answer 1

From the given information

The correct random variables of geometric distribution is

1 in 4 eggs contain salmonella . Bill believes he is invincible and will continue to drink a raw egg smoothie until he gets salmonella. X is the number of raw eggs he will eat until he gets poisoned.

Statement 4 is correct.

Because we know the geometric distribution represents the number of failure before getting the first success in a series of Bernoulli trials.

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