A spinner has five equal sections that are numbered 1-5. In which distributions does the variable X have a binomial distribution? Select each correct answer.

A.) When the spinner is spun multiple times, X is the number of spins until it lands on 5.
B.) When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.
C.) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.
D.) When the spinner is spun five times, X is the number of times the spinner lands on 1.

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ka613624 ka613624 · Answer 1 · 2019-05-01T19:35:40+02:00

Answer: The answer is C

Step-by-step explanation: If you think about it the spinner only spun 3 times and when that happens them you sum up X

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tutorconsortium33 tutorconsortium33 · Answer 2 · 2022-07-04T11:08:59+02:00

(C) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability [tex]q=1p[/tex]).
This distribution is used in probability theory and statistics.
A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results.
For a single trial, or [tex]n=1[/tex], the binomial distribution is a Bernoulli distribution.
The popular binomial test of statistical significance is based on the binomial distribution.

Therefore, the correct option is (C) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.

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