Chapter 11.4, Problem 8PPS

To determine

Determine whether each experiment is a binomial experiment.

Answer to Problem 8PPS

  $\boxed{\text{NOT a binomial experiment}}$

Explanation of Solution

Given information:

Determine whether each experiment is a binomial experiment or can be reduced to a binomial experiment.

A survey found that on a scale of $1$ to $10$ , a movie received a $7.8$ rating. A movie theatre employee asks $200$ patrons to rate the movie on a scale of $1$ to $10$ .

Calculation:

Consider an experiment:

A movie theatre employee asks $200$ persons to rate a movie on a scale from $1$ to $10$ .

A binomial experiment is an experiment with $n$ number of independent trials and each trial has only two possible outcomes, success or failure. In a trial, the probability of success is $p$ and that of failure is,

  $q=1-p$

In the above experiment, there are many outcomes in a trial as the number of ratings that each person can give from $1$ to $10$ .

Hence, the experiment of a person asking $200$ persons to rate a movie from on a scale of $1$ to $10$ is $\boxed{\text{NOT a binomial experiment}}$ .