Question 1

2 Points

The Contents of Urns I, II, III are as follows: 1white, 2 Black and 3 Red balls ; 2white , 1 Black and 1 Red ball; 4 white , 5 Black and 3 Red balls . One Urn is Chosen at random and two balls are drawn from it. They happen to be white and Red .Find the probability balls are drawn from Urn-I.

Answer:

Click here to download answer file —->probability balls-sikshapth

Question 2

2 Points

If the regression coefficient are 0.8 and 0.2 , what would be the value of coefficient of correlation?

Answer:

Let rx=0.8, ry=0.2
Coeff. of correlation=Geometric Mean of Regression Coeff.
=√(0.8 x 0.2)
=√(0.16)

= 0.4

Coeff. of correlation = 0.4

Question 3

2 Points

Fit the parabola is Y=a X^2+bX+c for the data x: 1, 3, 4 , 6 ,8 ,9, 11, 14 and y: 1,2, 4, 4, 5, 7, 8, 9.

Answer:

Follow the  below link for answer:

Fit the parabola is Y=a X^2+bX+c for the data x: …

Question 4

2 Points

The theory predicts the proportions of beans in the four groups G1, G2, G3, G4 should be in the ratio 9:3:3:1. In the experiment with 1600 beans the numbers in the four groups were 882, 313, 287 and 118.(Value Given from table= 7.815). Test the Experiment result supports the theory .

Answer:

CLick here to download pdf file —-> proportion of beans

Question 5

2 Points

A sample of 20 items has mean 42 units and S.D. 5 units. Test the hypothesis that it is a random sample from a natural population with mean  45

Answer:

Follow the below link for the answer:

A sample of 20 items has mean 42 units and …