THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
Suppose you know that the number of complaints coming into a phone center averages 4.2 every ten minutes.Assume that the number of calls follows the Poisson distribution.
-It has been estimated that 30% of all farms are family-owned.In a sample of 12 farms,what is the probability that exactly three farms are family owned?
A)0.20
B)0.30
C)0.36
D)0.24

Question

Quizplus · Accepted Answer

The probability that exactly three farms are family-owned in a sample of 12, given that 30% of all farms are family-owned, can be calculated using the binomial distribution formula: $P(X=k) = \binom{n}{k}p^k(1-p)^{n-k}$, where $n=12$, $k=3$, and $p=0.30$. The calculation yields a probability of 0.24.