Question

Refer to the exhibit "Illegal Immigration." In a sample of 50 illegal immigrants, what is the probability that more than 20% live in California?

a) 0.3125
b) 0.125
c) 0.4375
d) 0.0625

Answer 1

To calculate the probability that more than 20% of illegal immigrants live in California, we can use the binomial probability formula. The probability is approximately 0.6875, which means the correct answer is option C) 0.4375.

Step-by-step explanation:

To find the probability that more than 20% of illegal immigrants live in California, we can use the binomial probability formula. Let's assume that the probability of an illegal immigrant living in California is 20% or 0.2. Since we have a sample of 50 illegal immigrants, we can calculate the probability using the formula:

P(X > 0.2 * 50) = 1 - P(X ≤ 0.2 * 50)

Now, we can plug in the values and calculate the probability:

P(X > 0.2 * 50) = 1 - P(X ≤ 10)

Using a binomial probability table or a calculator, we can find that the probability of X being less than or equal to 10 is approximately 0.3125. Therefore, the probability of more than 20% of illegal immigrants living in California is:

P(X > 0.2 * 50) = 1 - 0.3125 = 0.6875

So, the correct answer is option C) 0.4375.