Question

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

Answer 1

`"In the 2nd and 4th situation we have a binomial distribution."`

Explanation:

`"A binomial distribution occurs when we repeat an experiment"`
`"n times and we want to know the number of times that the"`
`"experiment was successful."`
`"In the 2nd situation we have :"`
`"n = 2"`
`"success = rolling an odd number"`
`=> " X = 0, 1, or 2 = number of times of success."`
`"In the 4th situation we have :"`
`"n = 3"`
`"success = rolling a 2"`
`=> " X = 0, 1, 2, or 3 = number of times of success."`

`"In the first situation X does not denote the number of"`
`"successes but the sum of the numbers rolled."`

`"In the third situation X is the number of times rolled before"`
`"a 2 appears and does not denote the number of successes as"`
`"the number of successes is always 1 (we roll until we have a 2)."`