# A variable has a density curve equation y=1 for 0<x<1 and y=0a.graph density curveb. show area under density curve to the left of any number x between 0 + 1 =xc. what percentage of all possibilities of the variable lie between 1/4 and 3/4?d. exceeds 7/8?

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A variable has a density curve equation y=1 for

0<x<1 and y=0

a.graph density curve

b. show area under density curve to the left of any number x between 0 + 1 =x

c. what percentage of all possibilities of the variable lie between 1/4 and 3/4?

d. exceeds 7/8?

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Step 1

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Step 2

a)

Similarly the remaining points are obtained as follows:

Step 3

Procedure for drawing the density curve of the variable y=1 for 0<x<1 otherwise y=0 is as follows:

• Draw the x and y
• Plot the points Table 1, using the horizontal axis for the x values and the vertical axis for the y values as shown below.

The density curve of the given variable is,

(b)

From the given information, it can be observed that the area to the left of any number x between 0 and 1 is the rectangle and the base and height are x and 1.

The area of rectangle is,

...

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