Understanding Geometric Random Variables with a TI-84 Calculator

This video tutorial explains how to use a TI-84 graphing calculator to solve problems involving geometric random variables. It covers calculating the probability of picking a certain number of cards until a king is drawn, using functions like geomet PDF and geomet CDF. The tutorial demonstrates how to find the probability of picking exactly five cards, less than ten cards, and more than twelve cards, emphasizing the importance of understanding the probability of success in each trial.

What type of calculator is primarily used in this tutorial?

• Sharp EL-W516X

• TI-84

• Casio FX-991EX

• HP 35s

In the card-picking scenario, what is the probability of drawing a king from a standard deck?

• 1/4

• 1/10

• 1/13

• 1/52

What is the key condition for a geometric random variable?

• Probability of success remains constant each trial

• Probability of success is 50%

• Probability of success changes each trial

• Probability of failure is zero

What is the significance of replacing the cards in the card-picking scenario?

• It decreases the number of trials

• It increases the number of trials

• It keeps the probability of success constant

• It changes the probability of success

Which function on the TI-84 calculator is used to find the probability of a specific number of trials in a geometric distribution?

• normal CDF

• geomet PDF

• binom PDF

• geomet CDF

What is the approximate probability of needing to pick exactly five cards to get a king?

• 0.25

• 0.13

• 0.056

• 0.75

Which function helps calculate the probability of picking less than a certain number of cards?

• geomet CDF

• binom PDF

• geomet PDF

• normal PDF

What is the probability of picking less than 10 cards to get a king?

• 0.25

• 0.75

• 0.513

• 0.9

How do you calculate the probability of picking more than 12 cards?

• Using geomet PDF directly

• Using 1 minus geomet CDF

• Using binom PDF

• Using normal CDF

What is the approximate probability of needing more than 12 picks to get a king?

• 0.383

• 0.25

• 0.75

• 0.5