Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Uniform distribution |
Grade: 9-a Lesson: S4-L8 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
If X ~ U (70,120) find P (X > 100) |
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2 |
Formula: |
Uniform distribution For X∼ U(a,b) f(x) = \$1/(b-a)\$ a<x<b |
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3 |
Step |
From the given data |
a = 70 ,b = 120 |
4 |
Step |
Substitute the values in the formula |
f(x) = \$1/(120-70)\$ 70 < x < 120 |
5 |
Step |
Simplification |
f(x) = \$1/50\$
70 < x < 120 |
6 |
Step |
P (X > 100) |
\$\int_120^\infty f(x) dx\$ |
7 |
Step |
P (X > 100) |
\$\int_120^100 f(x) dx\$ |
8 |
Step |
Substitute f(x) from equation(1) P (X > 100) |
\$\int_120^100 1/50 dx\$ |
9 |
Step |
P (X > 100) |
\$1/50\$ \$ (x)_100^120\$ |
10 |
Step |
P (X > 100) |
\$(120-100)/50 = 20/50\$ |
11 |
Step |
P (X > 100) |
0.4 |
12 |
Answer |
B |
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Tutor: Questions
| Seq | Type | Question | Audio |
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1 |
Problem |
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2 |
Clue |
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3 |
Hint |
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4 |
Step |
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5 |
Step |
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