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19. A The National Red Cross Says That About 11% of the US Population Has Type B Blood. A B Drive Is Being Held at Your School.What Is

Question

19. A The National Red Cross says that about 11% of the US population has type B blood. A b drive is being held at your school.What is the probability that at least 2 out of the first 10 b donors has type B blood? (a) 0.088 (b) 0.214 (c) 0.697 (d) 0.303 (e) None of the above.

Solution

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Answer

### (d) 0.303

Explanation

## Step 1: Calculate the probability of exactly 0 donors having type B blood.### The probability of a single donor *not* having type B blood is . The probability of 0 out of 10 donors having type B blood is given by the binomial probability formula: .## Step 2: Calculate the probability of exactly 1 donor having type B blood.### The probability of exactly 1 out of 10 donors having type B blood is given by the binomial probability formula: .## Step 3: Calculate the probability of at least 2 donors having type B blood.### The probability of at least 2 donors having type B blood is the complement of the probabilities of 0 or 1 donor having type B blood: . This is closest to option (d).