Question

Think about a density curve that consists of two straight-line segments. The first goes from the point (0, 1) to the point (0.7, 1) then the second goes from the point (0.7, 1) to the point (1.3, 0).

a. Sketch this density curve:
b. What is the probability that X falls below 0.5?
c. What is the probability that X lies between 0.7 and 1.3?
d. What is the probability that X lies above 0.2?
e. What is the probability that X is equal to 0.5?

Answer 1

b)0.5

c)0.3

d)0.2

e)0.5

Explanation:

As we see on the graph, the probability that X falls below 0.5 is 0.5.

the probability that X falls between 0.7 is 1.3 is 0.3. If the line go from the point (0.7,1) to the point (1.3, 1) the probability of X would be 0.6 that is the distance between the two points, but instead is the half because it goes from the point (0.7,1) to the point (1.3, 0).

The probability that X lies above 0.2 is 0.2 and also the probability to X is equal to 0.5 it's also 0.5