Use the following density curve to answer questions 1-6: 0.5 0.5 1.0 1.5 2.0 Det

Question

Use the following density curve to answer questions 1-6: 0.5 0.5 1.0 1.5 2.0 Determine whether each of the following statements regarding this density curve is true or false. 1. It is symmetric A) True B) False 2. The total area under the curve is 1 A) True B) False 3. The median is1 A) True B) False 4. The mean is 1 A) True B) False 5. For this density curve, what percent of the observations lie above 1.5? A) 25% B)50% C)75% D) 80% 6. For this density curve, what percent of the observations lie between 0.5 and 1.2? A) 25% B)35% d) 50% D) 70%

Explanation / Answer

1:

Yes uniform distribtuion is symmetric.

Correct option is A.

2:

The total area under the curve is 2*0.5 = 1

Correct option is A.

3:

Here we have minimum =0 and maximum =2.0.

The mean is Mean =(a+b) /2 = 1

Correct option is A.

4:

Here we have minimum =0 and maximum =2.0.

The mean is Median =(a+b) /2 = 1

Correct option is A.

5;

The area above 1.5 is : (2.0-1.5) *0.5 =0.25 =25%

Correct option is A.

6:

The area between 0.5 and 1.2 is : (1.2-0.5) *0.5 =0.35 =35%

Correct option is B.

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