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2. Blood type AB is found in 3% of the population. Suppose 350 people are chosen randomly. a. Describe the sampling distribution of the sample

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2. Blood type AB is found in 3% of the population. Suppose 350 people are chosen randomly. a. Describe the sampling distribution of the sample proportion. Can the normal distribution be used to approximate the probabilities? (Hint: Is np(1 - p) 2 10 true for this problem?) b. What is the probability (using the normal approximation) that 10 or more will have this blood type? (Note: The probability of x = 10 is equivalent to the probability that p = 10/350) c. What is the probability that between 10 and 20 will have this blood type? (Hint: State the problem in terms of p and use the normal approximation)

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