SaiBook.us Statistics

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Poisson distribution

Grade: 9-a Lesson: S4-L5

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	Post boxes in London are randomly spaced out and on average five post boxes are found per square mile.Determine the probability that on a certain square mile there will be less than eight but no less than four post boxes.?	A) 0.1476 B) 0.4234 C) 0.2087 D) 0.6016
2	The water from a lake is tested and is found to contain on average three bacteria per litre of water. A sample of 250 ml is collected from the lake.Determine the probability that the 250 ml water sample will contain at least two bacteria.?	A) 0.2615 B) 0.1734 C) 0.1045 D) 0.3567
3	The number of failures occurring in a machine of a certain type in a year has a Poisson distribution with mean 0.4. In a factory there are ten of these machines. What is (a) the expected total number of failures in the factory in a year? (b) the probability that there are fewer than two failures in the factory in a year.?	A) 2.5,0.9845 B) 3,0.1258 C) 4,0.0916 D) 4,0.1861
4	Asteroids with a diameter of at least 1km collide with the earth at a rate of approximately 2 per million years.What is the probability that in a randomly selected million year period,there is exactly one collision.?	A) 0.5068 B) 0.2707 C) 0.1507 D) 0.2061
5	The average number of major storms in your city is 2 per year. What is the probability that exactly 3 storms will hit your city next year.?	A) 0.180 B) 0.145 C) 0.267 D) 0.065

Problem Id

Problem

Options

Post boxes in London are randomly spaced out and on average five post boxes are found per square mile.Determine the probability that on a certain square mile there will be less than eight but no less than four post boxes.?

A) 0.1476
B) 0.4234
C) 0.2087
D) 0.6016

The water from a lake is tested and is found to contain on average three bacteria per litre of water. A sample of 250 ml is collected from the lake.Determine the probability that the 250 ml water sample will contain at least two bacteria.?

A) 0.2615
B) 0.1734
C) 0.1045
D) 0.3567

The number of failures occurring in a machine of a certain type in a year has a Poisson distribution with mean 0.4. In a factory there are ten of these machines. What is (a) the expected total number of failures in the factory in a year? (b) the probability that there are fewer than two failures in the factory in a year.?

A) 2.5,0.9845
B) 3,0.1258
C) 4,0.0916
D) 4,0.1861

Asteroids with a diameter of at least 1km collide with the earth at a rate of approximately 2 per million years.What is the probability that in a randomly selected million year period,there is exactly one collision.?

A) 0.5068
B) 0.2707
C) 0.1507
D) 0.2061

The average number of major storms in your city is 2 per year. What is the probability that exactly 3 storms will hit your city next year.?

A) 0.180
B) 0.145
C) 0.267
D) 0.065