Question

5. A survey determines that six out of every ten Niceville residents shop at Target. In a group of 12

randomly chosen Destin residents, find the probability that more than nine of them shop at Target.

Answer 1

To find the probability that more than nine out of twelve randomly chosen Destin residents shop at Target, use the binomial probability formula.

Step-by-step explanation:

To find the probability that more than nine out of twelve randomly chosen Destin residents shop at Target, we can use the binomial probability formula.

The formula is P(X > k) = 1 - P(X <= k), where k is the desired number of residents. In this case, k = 9.

Using the formula, we can calculate the probability as follows:

First, calculate the probability of exactly k residents shopping at Target: P(X = k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of residents and p is the proportion of residents who shop at Target.

Next, calculate the probability of less than or equal to k residents shopping at Target: P(X <= k) = P(X = 0) + P(X = 1) + ... + P(X = k).

Finally, calculate the probability of more than k residents shopping at Target: P(X > k) = 1 - P(X <= k).