Understanding Binomial Probability with TI-84

The video tutorial explains how to calculate probabilities using a binomial probability distribution, specifically for flights being on time. It covers the use of the TI-84 calculator to find probabilities for different scenarios: exactly three flights on time, at most four flights on time, and at least nine flights on time. The tutorial emphasizes the use of binomial PDF and CDF functions and explains how to handle inequalities in probability calculations.

What is the probability of a flight being on time from Boston to Atlanta?

• 50%

• 80%

• 70%

• 60%

How many flights are randomly selected in the problem?

• 12

• 10

• 20

• 15

Which function is used to calculate the probability of exactly three flights being on time?

• Normal CDF

• Binomial PDF

• Binomial CDF

• Normal PDF

What is the probability of exactly three flights being on time, expressed as a percent?

• 1.5%

• 0.15%

• 0.015%

• 15%

Which function is used to find the probability of at most four flights being on time?

• Binomial CDF

• Binomial PDF

• Normal CDF

• Normal PDF

What is the probability of at most four flights being on time, expressed as a percent?

• 0.009%

• 95%

• 9.5%

• 0.95%

How do you calculate the probability of at least nine flights being on time?

• Use binomial PDF directly

• Use binomial CDF directly

• Subtract the probability of less than or equal to eight from 1

• Add the probability of nine and ten flights

What is the probability of at least nine flights being on time, expressed as a percent?

• 92.5%

• 0.4925%

• 4.925%

• 49.25%

What is the key reminder when using the TI-84 for probabilities greater than or equal to a value?

• Rewrite as 1 minus the probability of less than or equal to

• Use binomial CDF

• Use binomial PDF

• Use normal distribution

What is the main challenge when calculating probabilities for at least a certain number of flights?

• TI-84 only works for less than or equal to

• TI-84 requires manual input

• TI-84 does not support binomial functions

• TI-84 cannot calculate probabilities