Question

A meteorologist in denver recorded y = the number of days of rain during a 30-day period. does y have a binomial distribution? if so, are the values of both n and p given?

Answer 1

Yes, the random variable y will have a binomial distribution. Because there are two possible outcomes 1. number of days of rain and 2. number of days of no rain.

The parameters of binomial distribution are and

The parameter n is given as the number of day's under consideration.

The parameter p is not given, but it can be estimated by number of days it rained divided by the total number of days under consideration.

Answer 2

Solution: Yes, the random variable y will have a binomial distribution. Because there are two possible outcomes 1. number of days of rain and 2. number of days of no rain.

The parameters of binomial distribution are
`n` and
`p`

The parameter n is given as the number of day's under consideration.

`\therefore n=30`

The parameter p is not given, but it can be estimated by number of days it rained divided by the total number of days under consideration.

`\therefore p=(y)/(n) =(y)/(30)`