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In: Statistics and Probability

Dartnose College has 4000 students. 30% are first-year students, 25% are sophomores, 25% are juniors, and...

Dartnose College has 4000 students. 30% are first-year students, 25% are sophomores, 25% are juniors, and 20% are seniors. 40% of the first-year students are women, 60% of the sophomores are women, 40% of the jumiors are women, and 60% of the seniors are women. Every student is in one and only one of these classes.

1. What is the probability that a randomly selected student will NOT be a junior?

2. What is the probability that a randomly selected student will be EITHER a junior or a senior?

3. What is the probability that a randomly selected student will be EITHER a woman or a junior?

4. What is the probability that a randomly selected student will be BOTH a senior and a man?

5. If we randomly select three names off the total student list (we might select the same name twice or even three times), what is the probability of picking a woman's name at least once?

6. If we randomly select two names off of the total student list (we might select the same name twice), what is the probability of picking the name of one sophomore and one junior in any order?

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Expert Solution

orchestra answered 2 years ago
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