The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 30% of adult Australian sheep dogs weigh 65 pounds or more. A sample
Of 19 adult dogs is studied. What is the probability that exactly 8 of them weigh 65 lb or
More?
A) 0.0981
B) 0.9923
C) 0.9019
D) 0.0077

Question

Quizplus · Accepted Answer

This is a binomial probability problem where n = 19 (number of trials), k = 8 (number of successes), and p = 0.30 (probability of success on a single trial). The binomial probability formula is P(X = k) = (nCk) * p^k * (1-p)^(n-k), where nCk is the combination of n items taken k at a time. Plugging in the values: P(X = 8) ≈ 0.0981.

The Australian Sheep Dog Is a Breed Renowned for Its