Students were asked to answer a question at institution and to assert what is most important for them to succeed. Of many answers, one which that stood out was practice. Successful people aren’t born successful; they become successful by hard work and determination. This is how you can complete your goals. followed below some question and answer examples that you might possibly utilise to further enhance your knowledge and gain insight that will help you to continue your school studies.

## Question:

In a recent fundraising campaign, Rise Over Run received 20 checks of various amounts to donate to their favorite charities. Olive uses this spinner to determine which charity will receive each check.

About how many of the 20 checks should arise Over Run expect to go to their TreeHuggers Campaign ?

## Answer:

The **expected number **of **checks **out of 20 checks that should **arise Over Run **expect to go to their **TreeHuggers Campaign **is given by: Option D: 6 checks.

### How to find that a given condition can be modeled by binomial distribution?

**Binomial distributions **consists of n **independent Bernoulli trials**.

Bernoulli trials are those trials which end up randomly either on **success **(with **probability **p) or on failures( with **probability **1- p = q (say))

Suppose we have **random variable **X pertaining **binomial** **distribution **with **parameters **n and p, then it is written as

The **probability **that out of n **trials**, there’d be x **successes **is given by

The **expected value **and **variance **of X are:

For this case, we’re specified that:

The **spinner **has 10 parts.

- 3 belong to
**Treehuggers** - 2 belong to
**Ameriteach** - 5 belong to
**Paws**of**Peace**

Thus, the probability of getting the spinner fall on treehugger is 3/10 (**three **favorable parts of **spinner **to **ten total **parts, all parts assumingly equally probable and **spinner **assumingly not falling in the mid of two parts).

20 checks, all will be **accompanied **with 20 spins, all **independent **of each **other**.

Let X = total number of times the **spinner **falls on **Treehuggers**

And let **Success **for a **spin **= It landing on Treehugger

Failure for a spin = It not landing on **Treehugger**

**Probability**of**success**= p = 3/10 = 0.3- Probability of
**faillure**= 1-p = 7/10 = 0.7

n = 20, so we get:

The **expected** **number **of **checks **out of 20 checks that should **arise Over Run **expect to go to their **TreeHuggers Campaign **= expected number of successes in those 20 spins = the **expected number** of values of X.

Since X follows a **binomial distribution**, we get:

Thus, the **expected number **of **checks **out of 20 checks that should **arise Over Run **expect to go to their **TreeHuggers Campaign **is given by: Option D: 6 checks.

Learn more about **binomial distribution** here:

From the answer and question examples above, hopefully, they could simply help the student handle the question they had been looking for and notice of all stated in the answer above. Then could possibly have some sharing in a group discussion and also study with the classmate in reference to the topic, so another student also absorb some enlightenment and still keeps up the school learning.