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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

In which distributions does the variable X have a binomial distribution?

Select EACH correct answer.

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE In which distributions does the variable X have a binomial distribution Select EACH correct answer class=

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tramserran

Answer: b) rolled three times, number of 2s rolled

              d) rolled twice, number of odds rolled

Step-by-step explanation:

A binomial experiment must meet the following criteria:

  1. There must be a fixed number of trials (rolls)
  2. Each trial (roll) is independent of the others
  3. There are only two outcomes (success or fail)
  4. The probability of each outcome remains constant from trial to trial

a) rolled twice --> satisfies #1 & #2 (n = 2)

   X is the sum --> fails #3 (more than two outcomes)

b) rolled three times --> satisfies #1 & #2 (n = 3)

   X is the number of 2s rolled --> satisfies #3 & #4 (P success = 1/6)

c) rolled an unknown number of times - fails #1

d) rolled twice --> satisfies #1 & #2 (n = 2)

   X is the number of odds rolled --> satisfies #3 & #4 (P success = 1/2)