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Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Poisson distribution

Grade: 9-a Lesson: S4-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Accidents occur on a certain stretch of motorway at the rate of three per month. Find the probability that on a given month there will be one accident.?
2	Step	Accidents per month.	λ = 3
3	Step	Poisson distribution is written as.	X~P(λ) ⇒ X~P(3)
4	Step	Probability that on a given month there will be one accident is given as.	P(X=1)
5	Formula:	Poisson distribution P(X=x) = \$(e^(-λ) λ^x)/x!\$
6	Step	P(X=1).	\$(e^(3) 3^1)/(1!)\$
7	Step	P(X=1).	\$2.718^(3)×3\$
8	Step	Probability that on a given month there will be one accident P(X=1).	0.1494
9		Answer	C

Step

Type

Explanation

Answer

Problem

Accidents occur on a certain stretch of motorway at the rate of three per month. Find the probability that on a given month there will be one accident.?

Step

Accidents per month.

λ = 3

Step

Poisson distribution is written as.

X~P(λ) ⇒ X~P(3)

Step

Probability that on a given month there will be one accident is given as.

P(X=1)

Formula:

Poisson distribution P(X=x) = \$(e^(-λ) λ^x)/x!\$

Step

P(X=1).

\$(e^(3) 3^1)/(1!)\$

Step

P(X=1).

\$2.718^(3)×3\$

Step

Probability that on a given month there will be one accident P(X=1).

0.1494

Answer

Tutor: Questions

Seq	Type	Question
1	Problem	What did you learn from this problem?
2	Clue	What did you learn from the clues?
3	Hint	What did you learn from the Hints?
4	Step	What did you learn from the Steps?
5	Step	How can we improve the Steps?

Seq

Type

Question

Audio

Problem

What did you learn from this problem?

Clue

What did you learn from the clues?

Hint

What did you learn from the Hints?

Step

What did you learn from the Steps?

Step

How can we improve the Steps?