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The area under the density curve that lies to the left of 10 is 0.654. What percentage of all possible observations of the variable are

a. less than 10

b. at least 10

Short Answer

Expert verified

Percentage observations of the variable less than 10=65.4%, percentage observations of variable at least 10=34.6%

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 =45.3

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 under the density curve that lies to the left of 10=0.654out of total area = 1, so percentage of observations less than10=65.4%

Hence, percentage of observations that are at least 10 includes observations that are greater than or equal to 10. These observations are to the right of 10, so 1-0.654=34.6%

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