# 12% of individuals insured by All-Driver Automobile Insurance Company have received at least one...

## Question:

12% of individuals insured by All-Driver Automobile Insurance Company have received at least one traffic ticket.

For a sample of 140 insured individuals.

What is the probability that between 8 and 22 of them have received at least one ticket?

## Binomial Distribution:

There are certain conditions for a distribution to be binomial which are given as:

- Number of trials are finite.
- Only two possibility either success or failure.
- Events are independent of each other.
- Probability is constant.

## Answer and Explanation:

The population proportion, {eq}p = 0.12 {/eq}

The sample size, {eq}n = 140 {/eq}

We can use binomial distribution or we can use the normal...

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View this answerThe population proportion, {eq}p = 0.12 {/eq}

The sample size, {eq}n = 140 {/eq}

We can use binomial distribution or we can use the normal approximation to binomial.

Using Binomial:

{eq}P(X=r)=^{n}C_{r}\cdot p^{r}\cdot (1-p)^{n-r} {/eq}

The probability that between {eq}8 {/eq} and {eq}22 {/eq} of them have received at least one ticket:

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from GMAT Prep: Help and Review

Chapter 4 / Lesson 15