Final answer:
To find the approximate probability that the random sample of 200 candies will contain 26% or more orange candies, we can use the binomial distribution.
Step-by-step explanation:
To find the approximate probability that the random sample of 200 candies will contain 26% or more orange candies, we need to use the binomial distribution.
The probability of selecting an orange candy is 24%. Let's define success as selecting an orange candy.
Using the binomial distribution formula, we can calculate the probability:
P(X ≥ k) = 1 - P(X < k)
where X is the random variable representing the number of orange candies in the sample, and k is the number of orange candies we want to have (26% of 200 is 52).
First, let's calculate P(X < 52). We can use a binomial probability table, or a binomial calculator to find this value. Once we have P(X < 52), we can find P(X ≥ 52) by subtracting it from 1.