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Chapter 2: Q 4.2. (page 103)

About what proportion of observations lie between 7and 8?

Short Answer

Expert verified

The proportion of observation lies between 7 and 8 is 0.12

Step by step solution

01

Step 1. Given

02

Step 2. Concept

A density curve has the same area underneath it as the horizontal axis and is always on or above it. A density curve depicts the overall pattern of distribution. The proportion of all observations that fall within an interval of values on the horizontal axis is represented by the area under the curve and above that interval.

03

Step 3. Calculation

Calculate the percentage of observations that fall between 7 and 8.

That is correct.

P(7<X<8)

P(7<X<8)=∫78f(x)dx=∫780.12dx=0.12

As a result, 100% of the observations are lie between 7 and 8 is 0.12

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Most popular questions from this chapter

Follow the method shown in the examples to answer each of the following questions. Use your calculator or the Normal Curve applet to check your answers.

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