The smiling times (in seconds) of an 8-week-old baby can be modeled with a uniform distribution with a = 0 and b = 23 seconds.What is the probability that a randomly chosen 8-week-old baby smiles between 2 and 18 seconds?
A) 0.7826
B) 0.6956
C) 0.8696
D) 0.0870

Question

Quizplus · Accepted Answer

To find the probability of a randomly chosen baby smiling between 2 and 18 seconds, we need to find the area under the uniform distribution curve between 2 and 18 seconds. The total area under the curve is (b-a) = (23-0) = 23 seconds. The area between 2 and 18 seconds is (18-2) = 16 seconds. Therefore, the probability is 16/23 = 0.6956. The closest answer choice is B.

The Smiling Times (In Seconds) of an 8-Week-Old Baby Can