Lesson Example Discussion Quiz: Class Homework |
Step-3 |
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 = 0.6.Find P(X>3) |
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2 |
Formula: |
Probability P(X=x)=\$(1-p)^(x-1) × p\$ |
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3 |
Step |
From the given data |
x=3,p=0.6 |
4 |
Clue |
P(X>3) |
P(X≤4) |
5 |
Step |
P(X≤4) |
1 - P(X≤3) |
6 |
Step |
P(X≤4) |
P(X=1) + P(X=2) + P(X=3) |
7 |
Step |
P(X>3) |
P(x=1) + P(x=2) + P(X=3) |
8 |
Step |
Substitute all the values in P(X≤2) |
\$(1-0.6)^(1-1) × 0.6\$ + \$(1-0.6)^(2-1) × 0.6\$ + \$(1-0.6)^(3-1) × 0.6\$ |
9 |
Step |
Simplification P(X>3) |
[1 × 0.6] + [0.4 × 0.6] + [0.16 × 0.6] |
10 |
Step |
Simplification P(X>3) |
\$0.6 + 0.24 + 0.096\$ |
11 |
Step |
P(X>3) |
0.936 |
12 |
Answer |
C |
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Tutor: Questions
| Seq | Type | Question | Audio |
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1 |
Problem |
What did you learn from this problem? |
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2 |
Clue |
What did you learn from the clues? |
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3 |
Hint |
What did you learn from the Hints? |
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4 |
Step |
What did you learn from the Steps? |
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5 |
Step |
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