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Chapter 6: Q6.13 (page 260)

A curve has 0.613to the left of 65and area 0.287to the right of 65.Could this curve be a density curve for some variable ? Explain your answer.

Short Answer

Expert verified

No, the curve having area 0.613and 0.287area to left and right of point 65cannot be a density curve.

Step by step solution

01

Density Curve Concept 

Density Curve is a graphical representation of numerical distribution, having variable outcomes that are continuous (which can take non whole values), like weight = 45.3Kgs

02

Density Curve Probability 

It shows likelihood ( probability) of continuous variable' outcomes. As total probability = 1, total area under the curve is also equal to 1.

Percentage of total observations that lie within a range is equal to percentage of area under the curve between the corresponding values.

03

Explanation 

As the area under the curve to the left and right of 65=0.613and 0.287; so total area is = 0.613+0.287=0.90

Since total area under the curve = 0.90, which is not equal to 1. Hence, can't be a density curve for a variable.

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