The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 16 adult dogs is studied.
What is the probability that no more than 3 of them weigh 65 lb or more?
A) 0.9719
B) 0.9934
C) 0.0066
D) 0.0281

Question

Quizplus · Accepted Answer

This is a binomial probability problem, where:

n = 16 (sample size)
p = 0.45 (probability of success, i.e. a dog weighing 65 lb or more)

We want to find the probability of no more than 3 successes (dogs weighing 65 lb or more), which can be written as:

P(X ≤ 3)

Using a binomial probability table, we can find this probability to be 0.0281.

Therefore, the answer is D.

The Australian Sheep Dog Is a Breed Renowned for Its