SaiBook.us Statistics

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	Airlines services which arrive late to Athens Airport on a typical week can be modelled by a Poisson distribution with mean of 4.5. Determine the probability that on a given week there will be four late arrivals.?	A) 0.4306 B) 0.8127 C) 0.1898 D) 0.2578
2	Sheep are randomly scattered in a field which is divided into equal size squares. There are three sheep on average on each square. Determine the probability that on a given square there will be no more than five sheep.?	A) 0.9161 B) 0.8945 C) 0.2658 D) 0.5418
3	A book containing 150 pages has 100 misprints. Find the probability that a particular page contains 5 misprints.?	A) 0.14076 B) 0.42304 C) 0.20837 D) 0.00056
4	In a village,power cuts occur randomly at a rate of 3 per year.Find the probability that in any givenn yesr there will be (i) exactly 7 power cuts,(ii) atleast 4 power cuts.?	A) 0.3578,0.5485 B) 0.1852,0.5247 C) 0.0216,0.3528 D) 0.2158,0.6214
5	The Poisson distribution with parameter λ = 0.3 has been assigned for the outcome of an experiment. Let X be the outcome function. Find P(X = 0), P(X =1), and P(X >1).?	A) 0.54,0.12,0.04 B) 0.74,0.22,0.03 C) 0.56,0.58,0.03 D) 0.45,0.12,0.32

Problem Id

Problem

Options

Airlines services which arrive late to Athens Airport on a typical week can be modelled by a Poisson distribution with mean of 4.5. Determine the probability that on a given week there will be four late arrivals.?

A) 0.4306
B) 0.8127
C) 0.1898
D) 0.2578

Sheep are randomly scattered in a field which is divided into equal size squares. There are three sheep on average on each square. Determine the probability that on a given square there will be no more than five sheep.?

A) 0.9161
B) 0.8945
C) 0.2658
D) 0.5418

A book containing 150 pages has 100 misprints. Find the probability that a particular page contains 5 misprints.?

A) 0.14076
B) 0.42304
C) 0.20837
D) 0.00056

In a village,power cuts occur randomly at a rate of 3 per year.Find the probability that in any givenn yesr there will be (i) exactly 7 power cuts,(ii) atleast 4 power cuts.?

A) 0.3578,0.5485
B) 0.1852,0.5247
C) 0.0216,0.3528
D) 0.2158,0.6214

The Poisson distribution with parameter λ = 0.3 has been assigned for the outcome of an experiment. Let X be the outcome function. Find P(X = 0), P(X =1), and P(X >1).?

A) 0.54,0.12,0.04
B) 0.74,0.22,0.03
C) 0.56,0.58,0.03
D) 0.45,0.12,0.32