Question

Destination Weddings. Twenty six percent of couples who plan to marry this year are panning destination weddings. I random 10 couples plan to marry. P(fewer than 4 couples will have a destination wedding)

Answer 1

To find the probability of fewer than 4 out of 10 couples having a destination wedding when 26% of couples plan such weddings, one must use the binomial probability formula to calculate and sum the individual probabilities for 0, 1, 2, and 3 couples planning a destination wedding.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with probability. The question involves calculating the probability (P) that fewer than 4 out of 10 randomly selected couples planning to marry this year will have a destination wedding, given that 26% of such couples are planning destination weddings. To solve this, we would use the binomial probability formula, which is P(x) = (n choose x)(p^x)(q^(n-x)), where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure (1-p). We're looking for the sum of the probabilities where the number of couples having a destination wedding (success) is less than 4, which means x = 0, 1, 2, or 3.

To compute it, one would calculate P(x) for x=0, 1, 2, and 3, and then sum these probabilities to find the total probability of fewer than 4 couples planning a destination weddin