Question 1

2 Points

The heights of persons with No. of persons is given , Heights (in Cm ): 58, 59, 60, 61, 62, 63, 64, 65 and No. of persons : 10, 18, 30, 42,35, 28, 16, 8 .

Find Karl Pearson’s coefficient of correlation.

Question 2

2 Points

The diameter , Say X , of a electric cable , is assumed to be continuous random variable with p.d.f : f(x)= 6x(1-x) , 0<=x<=1.

(1) Check that the above is a P.D.F.

(2) Obtain an expression for the c. d. f. of X.

(3) Compute P(X<=1/2| 1/3<=X<=2/3), and

(4) Determine the value of k such that P(Xk).

Question 3

2 Points

The following data is given for variable values and frequencies x: 0,1,2,3,4,5,6,7,8 and frequencies f: 1,8,28,56,70,56,28,8,1.

Find Mu one, Mu two, Mu three and Beta two of the distribution.

Question 4

2 Points

Write the objectives of AVERAGING and Characteristics of a good average.

Question 5

2 Points

Discuss relation between Binomial, Poisson and Normal Distributions

Q1:ANSWER = Follow Below link:Q2:ANSWER =Follow Below link:Q4:Write the objectives of AVERAGING and Characteristics of a good average.ANSWER =The objectives of average are-

1:The most important objective of calculating and measuring average is to determine a single figure of whole series.

2:The average describes the characteristics of the entire group.

3:Averages are helpful for taking and overview of a statistical data which ordinarily cannot be understood.

4:Averages facilitates comparison between one group and another.

CharacteristicsÂ of a Good Average:

Q4:Discuss relation between Binomial, Poisson and Normal DistributionsANSWER= Download this –> relation between

Q 3. Follow the below link: