Binomial Distribution Assumptions

The Binomial Distribution requires a ​ (a)   number of ​ (b)   trials

• fixed
• independent
• random
• dependent
• changeable

How many outcomes should each trial have to use a Binomial Distribution?

• It depends

• 1

• 2

• Any number

When using the binomial distribution, the two outcomes for each trial should be ________ exclusive

In order to use a binomial distribution the ​ (a)   of ​ (b)   shouldn't change

• probability
• success
• number
• cheeses

Match the following

• Not independent trials

• Recording the number of passengers riding in the first 15 cars passing a stretch of road.

• Is Binomially Distributed

• Randomly selecting 10 students from a class and recording the number of birthdays in January.

• Not a fixed number of trials

• Answering the same Buzzfeed quiz 10 times. Recording the number of times 'full marks' is achieved

• Doesn't have two mutually exclusive outcomes

• Counting the number of Pokemon encounters until you see a 'shiny'

Could this example be modelled by a Binomial distribution?

A researcher records the number of winners at a Casino over a span of seven days.

• Yes

• No

• Unclear

Could this example be modelled by a Binomial distribution?

Ten days are selected at random from a large data set containing weather data. The number of days with more that 1mm of rain is recorded.

• Yes

• No

• Unclear

Could this example be modelled by a Binomial distribution?

Simon is training to be a weight lifter. On 'good days' he is able to lift more than 100kg, on 'bad days' he lifts less than 50kg. Simon records the number of 'good' and 'bad' days in a week.

• Yes

• No

• Unclear

Why cant the following situation be modelled using a Binomial distribution?

When serving a table of six people, a waiter counts the number of people who request water with their menu.

• Not a fixed number of trials

• Not independent trails

• Not two mutually exclusive outcomes

• It is Binomially distributed!

Give an example of a situation which can be modelled with a binomial distribution. Make sure your example satisfies all four necessary criteria.