Answer:
Explanation:
To find the expected value (μ) for the number of adults with a college degree among 4 randomly selected adults, you can use the probability distribution table. The expected value is calculated by summing the product of each possible value and its corresponding probability.
In the table, you have two possible values for the number of adults with a college degree: 0 and 1. The corresponding probabilities are as follows:
- P(X = 0) = Probability that 0 adults have a college degree = (0.7)^4 = 0.2401
- P(X = 1) = Probability that 1 adult has a college degree = 4 * (0.3) * (0.7)^3 = 0.4116
Now, calculate the expected value (μ):
μ = (0 * 0.2401) + (1 * 0.4116)
μ = 0.4116
So, the expected value for the number of adults with a college degree among 4 randomly selected adults is approximately 0.4116, which is not provided in the answer choices. It seems that there may be a discrepancy or a rounding error in the given answer choices.