QUESTION 9 Normal Random VariableSelect all of the statements that are true of t

Question

QUESTION 9 Normal Random VariableSelect all of the statements that are true of this graph(more than one statement below is true). 1.2 Density A Density B _-Density C 1.0 0.8 0.6 0.4 0.2 0.0 2-1 0 23 4 5 6 Density A has the smallest mean Density A has the largest mean. Density B has the smallest mean. Density B has the largest mean. Density C has the smallest mean. Density C has the largest mean. Density A has the smallest variance. Density A has the largest variance Density B has the smallest variance. Density B has the largest variance. Density C has the smallest variance Density C has the largest variance

Explanation / Answer

The spread of Normal distribution depends upon S.D.
When S.D. is more there is more Spread.
The normal curve is symmetrical about its mean hence when highest height is achieved by the normal curve that point is the corresponding mean.

Mean of A is 2.
Mean of B is 4.
Mean of C is 0.

The variance of B is largest and that of C is lowest.

Hence correct Options are
4thDensity B has largest Mean.
5th Density C has smallest mean.
10thDensity B has the largest Variance.
11th Density C has the smallest Variance.

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