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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Geometric distribution

Grade: 9-a Lesson: S4-L6

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Consider a geometric probability distribution for a discrete random variable X with probability of success = 0.2.Find P(X≤2)
2	Formula:	Probability P(X=x)=\$(1-p)^(x-1) × p\$
3	Step	From the given data	x=2,p=0.2
4	Step	P(X≤2)	P(x=1) + P(x=2)
5	Step	Substitute all the values in P(X≤2)	\$(1-0.2)^(1-1) × 0.2\$ + \$(1-0.2)^(2-1) × 0.2\$
6	Step	Simplification P(X≤2)	[1 × 0.2] + [0.8 × 0.2]
7	Step	Simplification P(X≤2)	\$0.2 + 0.16\$
8	Step	P(X≤2)	0.36
9		Answer	D

Step

Type

Explanation

Answer

Problem

Consider a geometric probability distribution for a discrete random variable X with probability of success = 0.2.Find P(X≤2)

Formula:

Probability P(X=x)=\$(1-p)^(x-1) × p\$

Step

From the given data

x=2,p=0.2

Step

P(X≤2)

P(x=1) + P(x=2)

Step

Substitute all the values in P(X≤2)

\$(1-0.2)^(1-1) × 0.2\$ + \$(1-0.2)^(2-1) × 0.2\$

Step

Simplification P(X≤2)

[1 × 0.2] + [0.8 × 0.2]

Step

Simplification P(X≤2)

\$0.2 + 0.16\$

Step

P(X≤2)

0.36

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

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Hint

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Step

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Step

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