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Lesson Example Discussion Quiz: Class Homework

Step-4

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	Nigel is playing tournament chess against a computer program and the probability he wins against the program at any given game is 0.25. Determine the mean and variance of the distribution ?
2	Formula:	Mean \$\mu = 1/p\$
3	Step	From the given data	p=0.25
4	Step	Mean	\$\mu = 1/0.25\$
5	Step	Mean	\$\mu = 4\$
6	Formula:	Variance \$\sigma^2 = (1-p)/p^2\$
7	Step	Variance	\$\sigma^2 = (1-0.25)/0.25^2\$
8	Step	Variance	\$\sigma^2 = (0.75)/0.0625\$
9	Step	Variance	\$\sigma^2 = 12\$
10		Answer	A

Step

Type

Explanation

Answer

Problem

Nigel is playing tournament chess against a computer program and the probability he wins against the program at any given game is 0.25. Determine the mean and variance of the distribution ?

Formula:

Mean \$\mu = 1/p\$

Step

From the given data

p=0.25

Step

Mean

\$\mu = 1/0.25\$

Step

Mean

\$\mu = 4\$

Formula:

Variance \$\sigma^2 = (1-p)/p^2\$

Step

Variance

\$\sigma^2 = (1-0.25)/0.25^2\$

Step

Variance

\$\sigma^2 = (0.75)/0.0625\$

Step

Variance

\$\sigma^2 = 12\$

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?