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Quiz Discussion

Title: Uniform distribution

Grade: 9-a Lesson: S4-L8

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id	Problem	Options
Steps 1	If X ~ U (400,650) find P (X > 550)	A) 2.4 B) 0.4 C) 0.8 D) 1.6
Steps 2	If X is a Uniform variate with the parameter 50 and 100, find the mean, median and standard deviation.	A) 65,18.02 B) 70,12.54 C) 75,14.43 D) 72,12.54
Steps 3	If X is a random variable having a uniform distribution U (a,b) such that P(200<X<100)=0.5 and mean = 200, find a and b	A) X ∼ U(150,200) B) X ∼ U(200,350) C) X ∼ U(150,350) D) X ∼ U(100,300)
Steps 4	If X is a Uniform variable U(a,b) with first and third quartiles 100 and 200, find the p.d.f of X.	A) f(x) = \$1/200\$ 50 < x < 250 B) f(x) = \$1/250\$ 400 < x < 650 C) f(x) = \$1/250\$ 250 < x < 500 D) f(x) = \$1/200\$ 400 < x < 650
Steps 5	If X ~ U (70,120) find P (X > 100)	A) 0.5 B) 0.4 C) 0.3 D) 0.6

Problem Id

Problem

Options

Steps 1

If X ~ U (400,650) find P (X > 550)

A) 2.4
B) 0.4
C) 0.8
D) 1.6

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

A) 65,18.02
B) 70,12.54
C) 75,14.43
D) 72,12.54

If X is a random variable having a uniform distribution U (a,b) such that P(200<X<100)=0.5 and mean = 200, find a and b

A) X ∼ U(150,200)
B) X ∼ U(200,350)
C) X ∼ U(150,350)
D) X ∼ U(100,300)

If X is a Uniform variable U(a,b) with first and third quartiles 100 and 200, find the p.d.f of X.

A) f(x) = \$1/200\$ 50 < x < 250
B) f(x) = \$1/250\$ 400 < x < 650
C) f(x) = \$1/250\$ 250 < x < 500
D) f(x) = \$1/200\$ 400 < x < 650

If X ~ U (70,120) find P (X > 100)

A) 0.5
B) 0.4
C) 0.3
D) 0.6