Step-1

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

The literacy rate for a nation measures the proportion of people age 15 and over who can read and write. The literacy rate for women in Afghanistan is 12%. Let X = the number of Afghani women you ask until one says that she is literate.What is the probability that you ask five women before one says she is literate?

2

Clue

Number of Afghani women you ask until one says that she is literate

X

3

Formula:

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

4

Step

From the given data

x=5,p=12%=0.12

5

Step

Substitute all the values in P(x=5)

\$(1-0.12)^(5-1) × 0.12\$

6

Step

Simplification P(x=5)

\$(0.88)^4 × 0.12\$

7

Step

Simplification P(x=5)

\$0.6 × 0.12\$

8

Step

Probability that you ask five women before one says she is literate P(x=5)

0.0719

9

Answer

B

Tutor: Questions

Seq Type Question Audio

1

Problem

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2

Clue

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3

Hint

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4

Step

What did you learn from the Steps?

5

Step

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