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
4.3
(298 Votes)
Bella
Professional ยท Tutor for 6 years
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).