Poisson Distribution and Probability Concepts

This video tutorial explains the Poisson distribution, a statistical tool used to determine the probability of a given number of events occurring in a fixed interval of time or space. The tutorial covers two examples: calculating the probability of a specific number of service calls to a plumbing company and determining the probability of finding a certain number of defective electric motors in a sample. The video provides step-by-step instructions on using the Poisson formula, including calculating the mean and using a calculator for decimal approximations.

What is the average number of service calls to the plumbing company on a weekend?

• 30

• 20

• 15

• 25

Which of the following best describes a Poisson distribution?

• Probability of a variable number of events in a fixed interval

• Probability of a fixed number of events in a variable interval

• Probability of a variable number of events in a variable interval

• Probability of a fixed number of events in a fixed interval

In the Poisson formula, what does 'k' represent?

• The mean number of events

• The actual number of events

• The time interval

• The space interval

What is the probability of exactly 15 service calls on a weekend?

• 0.0714

• 0.0615

• 0.0516

• 0.0813

What is the defective rate of electric motors in the second example?

• 0.01

• 0.04

• 0.03

• 0.02

How do you calculate the mean number of defective motors in a sample of 300?

• Multiply the defective rate by 400

• Multiply the defective rate by 200

• Multiply the defective rate by 100

• Multiply the defective rate by 300

What is the mean number of defective motors in the sample?

• 4

• 2

• 5

• 3

What is the probability of finding exactly five defective motors in the sample?

• 0.1308

• 0.1208

• 0.1108

• 0.1008

In the Poisson formula, what does 'e' represent?

• The error term

• The base of the natural logarithm

• The expected number of events

• The event rate

What is the factorial of 5?

• 150

• 140

• 130

• 120