Geometric Distribution Probabilities with TI-84

This lesson demonstrates how to use the TI-84 calculator to determine geometric distribution probabilities. It covers calculating the probability of the first defect occurring on the eighth rod using the geometric PDF function and finding cumulative probabilities with the geometric CDF function. The lesson also explains how to calculate the probability of defects occurring after the eighth rod using the TI-84. The tutorial provides step-by-step instructions for using the calculator's functions to solve these probability problems.

What is the probability of a defective steel rod in the given example?

• 0.05

• 0.01

• 0.02

• 0.10

If the probability of a defective rod is 0.01, what is the probability of a non-defective rod?

• 0.90

• 0.95

• 0.01

• 0.99

Which function on the TI-84 calculator is used to find the probability of the first defect on the eighth rod?

• geomet cdf

• binom cdf

• geomet pdf

• binom pdf

What is the approximate probability that the first defect occurs on the eighth rod?

• 0.0093

• 0.0930

• 0.9300

• 0.0039

How can you find the probability that a defect occurs on the first through eighth rod using the TI-84?

• Using binom cdf

• Using geomet pdf

• Using binom pdf

• Using geomet cdf

What is the approximate probability that a defect occurs on the first through eighth rod?

• 0.700

• 0.70

• 0.07

• 0.007

What is the probability that a defect occurs after the eighth rod?

• 0.2279

• 0.9722

• 0.2792

• 0.9227

How is the probability that a defect occurs after the eighth rod calculated?

• Using geomet cdf

• Using 1 minus geomet cdf

• Using 1 minus geomet pdf

• Using geomet pdf

What is the complement rule used in the context of geometric distribution?

• Probability of an event minus probability of its complement equals 1

• Probability of success plus probability of failure equals 1

• Probability of success minus probability of failure equals 1

• Probability of an event plus probability of its complement equals 1

What is the significance of the result 0.9227 in the context of this problem?

• It is the probability of a defect on the first rod

• It is the probability of a defect on the eighth rod

• It is the probability of no defects on the first eight rods

• It is the probability of a defect after the eighth rod