SaiBook.us Statistics

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

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: at Home

Problem Id	Problem	Options
1	If X ~ U (30,120) find P (X > 80)	A) 0.4* B) 0.6 C) 0.9 D) 0.2
2	If X is a Uniform variate with the parameter 20 and 40, find the mean, median and standard deviation.	A) 22,3.5* B) 28,3.4 C) 25.2.1 D) 30,5.7
3	If X is a random variable having a uniform distribution U (a,b) such that P(80<X<120)=0.8 and mean = 120, find a and b	A) X ∼ U(45,135) B) X ∼ U(15,100) C) X ∼ U(95,145)* D) X ∼ U(25,150)
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) = \$1/25\$ 15 < x < 40 B) f(x) = \$1/20\$ 10 < x < 30 C) f(x) = \$1/110\$ 40 < x < 150 D) f(x) = \$1/80\$ 40 < x < 120*
5	If X is a Uniform variate with the parameter 150 and 300, find the mean, median and standard deviation.	A) 205,13.53 B) 170,17.32* C) 215,12.89 D) 150,13.85

Problem Id

Problem

Options

If X ~ U (30,120) find P (X > 80)

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

If X is a Uniform variate with the parameter 20 and 40, find the mean, median and standard deviation.

A) 22,3.5*
B) 28,3.4
C) 25.2.1
D) 30,5.7

If X is a random variable having a uniform distribution U (a,b) such that P(80<X<120)=0.8 and mean = 120, find a and b

A) X ∼ U(45,135)
B) X ∼ U(15,100)
C) X ∼ U(95,145)*
D) X ∼ U(25,150)

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) = \$1/25\$ 15 < x < 40
B) f(x) = \$1/20\$ 10 < x < 30
C) f(x) = \$1/110\$ 40 < x < 150
D) f(x) = \$1/80\$ 40 < x < 120*

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

A) 205,13.53
B) 170,17.32*
C) 215,12.89
D) 150,13.85