Question

On average, 36 babies are born in Vanderbilt Children’s Hospital every day.

(a) Let X be the number of babies that will be born in Whoville in the next hour. What type of distribution does X have? Circle the correct answer. binomial hypergeometric negative binomial Poisson normal exponential

(b) A baby was just born in Vanderbilt Children’s Hospital. Let Y be the number of hours until the next baby is born. What type of distribution does Y have? Circle the correct answer. binomial hypergeometric negative binomial Poisson normal exponential

Answer 1

Given --->

(a) On average, 36 babies are born in Vanderbilt Children’s Hospital every day.

X: the number of babies that will be born in Whoville in the next hour

We need to find out What type of distribution does X have? Below are the available options

· Binomial

· Hypergeometric

· negative binomial

· Poisson

· Normal

· Exponential

Since X is defined as number of events / success occurs in fixed period. Hence X follows Poisson distribution.

Poisson distribution is the answer.

(b) A baby was just born in Vanderbilt Children’s Hospital.

Y: the number of hours until the next baby is born.

We need to find out what type of distribution does Y have? Below are the available options.

· Binomial

· Hypergeometric

· Negative binomial

· Poisson

· Normal

· Exponential

Y is defined as number of failures before getting first success. This is an example of Geometric distribution since it Y is difined parallel to geometric distribution definition.

Above answer is provided by Assuming there is a typo in list of distribution.

If not, then it must be negative binomial. Since negative binomial is defined as number of failures before getting ‘n’ number of success.