Question

What are the characteristics of a density curve? Select all that apply.

A. The percentage of values between any two points is the
area of the figure formed by the curve and the horizontal
axis.
B. The percentage between any two points is always less
than 50%.
C. The total area under the curve is always 1.
D. The curve always falls on or below the horizontal axis.

Answer 1

A. True

B. False

C. True

D. False

Explanation:

B. It can be more than 50%.

D. The curve must be above the horizontal axis. For eg :- Given the density distribution curve the probability that the population value any interval (a , b) is equal to the area sandwiched between the curve and the x-axis and the lines x = a and x = b.