Asked Mar 24, 2020

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?



Expert Answer

Step 1

Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are solving the first 3 parts for you, according to our policy. If you need help with any of the other parts, please re-post the question and mention the part you want answered.

Step 2


Statistics homework question answer, step 2, image 1

Statistics homework question answer, step 2, image 2

Similarly the remaining points are obtained as follows:

Statistics homework question answer, step 2, image 3

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,

Statistics homework question answer, step 3, image 1


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,

Statistics homework question answer, step 3, image 2


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