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

1

Problem

If X is a Uniform variate with the parameter 50 and 100, find the mean, median and standard deviation.

2

Formula:

Uniform distribution

For X∼ U(a,b)

f(x) = \$1/(b-a)\$ a<x<b

3

Step

From the given data

a = 50 ,b = 100

4

Formula:

mean = median = \$(a+b)/2\$

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\$

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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