Question

Destination Weddings. Twenty-six percent of couples who plan to marry this year are planning destination weddings. I random 10 couples plan to marry. P(fewer than 5 couples will have a destination wedd.

Answer 1

To calculate the probability of fewer than 5 out of 10 couples planning a destination wedding when 26% of couples do so, use the binomial probability formula and sum the probabilities for X=0 through X=4.

Step-by-step explanation:

The probability of fewer than 5 couples out of 10 planning a destination wedding, given that 26% of couples are planning one, can be calculated using the binomial probability formula. This is a statistical problem that can be represented as P(X < 5) where X is the number of couples having a destination wedding.

To solve, one would calculate the probabilities for X=0, X=1, X=2, X=3, and X=4, using the formula for binomial probability P(X=x) = (n choose x) * p^x * (1-p)^(n-x), where 'n choose x' is the binomial coefficient, p = 0.26 (probability of a couple planning a destination wedding), and n = 10 (number of trials). Summing these probabilities will give the result for P(X < 5).