SaiBook.us Statistics

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Uniform distribution

Grade: 9-a Lesson: S4-L8

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	If X ~ U (280,340) find P (X > 300)	A) 0.4 B) 0.6* C) 0.9 D) 0.2
2	If X is a Uniform variate with the parameter 150 and 300, find the mean, median and standard deviation.	A) 225,3.53* B) 245,2.54 C) 315,2.89 D) 261,3.85
3	If X is a random variable having a uniform distribution U (a,b) such that P(20<X<40)=0.2 and mean = 150, find a and b	A) X ∼ U(50,200) B) X ∼ U(100,150) C) X ∼ U(100,200)* D) X ∼ U(50,150)
4	If X is a Uniform variable U(a,b) with first and third quartiles 80 and 160, find the p.d.f of X	A) f(x) = \$1/250\$ 150 < x < 400 B) f(x) = \$1/200\$ 100 < x < 300 C) f(x) = \$1/250\$ 400 < x < 650 D) f(x) = \$1/200\$ 10 < x < 210*
5	If X is a random variable having a uniform distribution U (a,b) such that P(40<X<80)=0.5 and mean = 100, find a and b	A) X ∼ U(50,150) B) X ∼ U(60,140)* C) X ∼ U(150,350) D) X ∼ U(250,300)

Problem Id

Problem

Options

If X ~ U (280,340) find P (X > 300)

A) 0.4
B) 0.6*
C) 0.9
D) 0.2

If X is a Uniform variate with the parameter 150 and 300, find the mean, median and standard deviation.

A) 225,3.53*
B) 245,2.54
C) 315,2.89
D) 261,3.85

If X is a random variable having a uniform distribution U (a,b) such that P(20<X<40)=0.2 and mean = 150, find a and b

A) X ∼ U(50,200)
B) X ∼ U(100,150)
C) X ∼ U(100,200)*
D) X ∼ U(50,150)

If X is a Uniform variable U(a,b) with first and third quartiles 80 and 160, find the p.d.f of X

A) f(x) = \$1/250\$ 150 < x < 400
B) f(x) = \$1/200\$ 100 < x < 300
C) f(x) = \$1/250\$ 400 < x < 650
D) f(x) = \$1/200\$ 10 < x < 210*

If X is a random variable having a uniform distribution U (a,b) such that P(40<X<80)=0.5 and mean = 100, find a and b

A) X ∼ U(50,150)
B) X ∼ U(60,140)*
C) X ∼ U(150,350)
D) X ∼ U(250,300)