Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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 |
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1 |
Problem |
If X is a Uniform variate with the parameter 50 and 100, find the mean, median and standard deviation. |
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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 = 50 ,b = 100 |
4 |
Formula: |
mean = median = \$(a+b)/2\$ |
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5 |
Step |
Substitute the values in formula |
\$(50+100)/2\$ |
6 |
Step |
mean = median = |
\$150/2\$ |
7 |
Step |
mean = median = |
75 |
8 |
Formula: |
Standard deviation = \$\sqrt((b-a)^2/12)\$ S.D.= \$(b-a)/\sqrt12\$ |
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9 |
Step |
Substitute the values in formula |
\$(100-50)/\sqrt12\$ |
10 |
Step |
Standard deviation |
\$50/\sqrt12\$ |
11 |
Step |
Standard deviation |
\$50/3.464\$ = 14.434 |
12 |
Answer |
C |
Tutor: Questions
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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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