Question

22. 48.6% of the North Dakota population over 18 years old is female.

65.9% of the total population of North Dakota over 18 years old has
enrolled in college at some point in their lives. If these two events are
independent of each other, what is the probability that a randomly
selected adult in North Dakota will be a female who has enrolled in
college, to the nearest percent.
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Answer 1

the probability that a randomly selected adult in North Dakota will be a female who has enrolled in

college is 32%

Explanation:

Given;

48.6% of the North Dakota population over 18 years old is female

P(f) = 48.6% = 0.486

65.9% of the total population of North Dakota over 18 years old has enrolled in college at some point in their lives;

P(c) = 65.9% = 0.659

Since, these two events are independent of each other, the probability that a randomly selected adult in North Dakota will be a female who has enrolled in

college is;

P(f∩c) = P(f) × P(c) = 0.486 × 0.659 = 0.320274

P(f∩c) = 0.32

P(f∩c) = 32%

Answer 2

32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.

Explanation:

We have these following probabilities:

48.6% probability that a randomly selected adult in North Dakota is a female.

If a randomly selected adult in North Dakota is over 18, 65.9% probability that they have enrolled in college at some point in their lives.

These events are independent.

This means that to find the probability that a randomly selected adult in North Dakota will be a female who has enrolled in college, we can just multiply these probabilities.

P = 0.486*0.659 = 0.32 = 32%

32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.