Question

Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?

a) 0.20
b) 0.50
c) 0.62
d) 0.13
e) 0.63
f) None of the above

Answer 1

Answer: 0.50, which is choice b

Step-by-step explanation:

The interval
`1 \le x \le 5` covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.