Question

Thirty four percent of men consider themselves fans of baseball. If you randomly select 12 men and ask each if he considers himself a fan of baseball, find the probability that the number of men who consider themselves baseball fans is ____________?

Answer 1

To calculate the probability of a specific number of men out of 12 being fans of baseball, given a 34% fan rate, use the binomial probability formula with n=12, k being the number of fans you are calculating for, and p=0.34.

Step-by-step explanation:

The subject of the question is probability, which is a branch of mathematics. To find the probability that a certain number of men out of a randomly selected group of 12 consider themselves fans of baseball, assuming that 34% of men are baseball fans, we can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:

• n is the total number of trials (in this case, the 12 men)
• k is the number of successes (the men who are fans of baseball)
• p is the probability of success on any given trial (34% or 0.34)
• (n choose k) is the binomial coefficient

For example, if we want to find the probability that exactly 5 out of the 12 men are fans, we would plug those values into the formula to get the answer.