Question

Determine whether the following sequence of trials would result in a binomial probability distribution. (a) The National Health Institute checks on 100 people who had a certain type of cancer in the year 2000 and records whether they are alive or not. This will result in a binomial distribution. This will not result in a binomial distribution. (b) Calling all your friends until you have 2 people willing to play on your volleyball team. This will result in a binomial distribution. This will not result in a binomial distribution.

Answer 1

Answer:

a) This will result in a binomial distribution.

b) This will not result in a binomial distribution.

Step-by-step explanation:

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and each trial can only have two outcomes.

So:

(a) The National Health Institute checks on 100 people who had a certain type of cancer in the year 2000 and records whether they are alive or not.

Fixed number of trials(each person checked is a trial) with a fixed probability(there is a probability that the person who had that type of cancer is alive).

So it results in a binomial distribution.

(b) Calling all your friends until you have 2 people willing to play on your volleyball team.

There is not a fixed number of friends that are going to be asked, so this does not results in a binomial distribution.