**Probabilities **are used to determine the chances of events.

The given parameters:

---- the **number **of candy bars

---- the **probability **of selling a candy bar

<u>(a) Name distributions</u>

The **distribution **of X is represented as:

Where:

So, the **name distribution **of X is

<u>(b) The probability that the last candy is sold at the 11th house</u>

This means that:

--- the **number **of previous houses

--- the **previous number **of candies

--- the given **probability **of selling a candy

The **probability **is calculated using:

This gives

Approximate

Hence, the **probability **that the **last candy **is sold at the 11th house is 0.1003

<u>(b) The probability he sells the candies on or before the 8th house</u>

The **probability **is calculated using:

This gives

---- approximated

Hence, the **probability **he sells the candies **on or before **the 8th house is 0.1737

Read more about **probabilities **at:

brainly.com/question/251701