About 10% of people in the United States have type B blood. Suppose we select a ran- dom sample of 120 U.S. residents, and let Y = the number of residents in the sample who have type B blood. (a) Show that the probability distribution of Y is approximately normal. np = 12 and n(1-p) = 108 The probability distribution of Y is approximately normal because np and n(1-p) are both at least 10. (b) Calculate the mean and standard deviation of the appropriate normal distribution. Mean = 12 residents (Do not round your answer.) Standard Deviation = 3.29 residents (Round your answer to 2 decimal places.) (c) Use this normal distribution to calculate the probability that 16 or more individuals in the sample have type B blood. I Probability = Round to 4 decimal places. Leave your answer in decimal form.
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This means that the probability of a randomly selected person having type B blood is p = 0.1. Show more…
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