Chapter 11.4, Problem 44HP

To determine

Identify the key components of your setting that connect to binomial distribution,

Answer to Problem 44HP

  $\boxed{\text{Yes or No}}$

Explanation of Solution

Given information:

Describe a real-world setting within your school or community activities that seems to fit a binomial distribution. Identify the key components of your setting that connect to binomial distribution,

Calculation:

Consider a real-world setting within your school or community activities that seems to fit a binomial distribution.

A survey found that $55\%$ of high school students play football. A surveyor randomly choose $10$ high school students and asked if they do or do not play football is an example of binomial distribution.

The given characteristic of this experiment make it to fit in a binomial distribution, because all $10$ trials are independent of one another.

There is certainty of success or failure. A random group of students will say either yes or no to the surveyor,

The probability of each outcome in a trial is same throughout the experiment as there is $55\%$ chance that a selected student at random will say yes or no.

Hence, the key components of your setting that connect to binomial distribution, $\boxed{\text{Yes or No}}$