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In: Statistics and Probability

Question 1) 5 unrelated people donate blood at the red cross. If there is a 60%...

Question 1)

5 unrelated people donate blood at the red cross. If there is a 60% chance that a person has O blood type...

Part A. What is the probability they have at least one person with O blood type?
Part B. What is the probability they have at most two people with O blood type?
Part C. What is the expected number of people who will have O blood type?

Part D. If instead it was 500 unrelated people, what is the approximate probability that they have at least 310 people with O blood type?

Question 2)

Men heights are assumed to be normally distributed with mean 70 inches and standard deviation 4 inches.

Part A) What is the probability that a randomly selected man is between 65 and 68 inches tall?
Part B) What is the probability that a randomly selected man is less than 66 inches tall?

Part C) What is the minimum height of the top 10% of men?
Part D) What is the maximum height of the bottom 25% of men?
Part E) What is the probability that 4 randomly selected men have an average height less than 72 inches? Part F. What is the probability that 4 randomly selected men are all less than 72 inches in height?

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