The probability that a person in the United States has type B+ blood is 7%. Thre
ID: 3333848 • Letter: T
Question
The probability that a person in the United States has type B+ blood is 7%. ThreeThree unrelated people in the United States are selected at random.
Complete parts (a) through (d).
(a) Find the probability that all three have type B+ blood.
The probability that all three have type B+ blood is .
(Round to six decimal places as needed.)
(b) Find the probability that none of the threethree have type B+ blood.
The probability that none of the three have type B+ blood is
(Round to three decimal places as needed.)
(c) Find the probability that at least one of the three has type B+ blood.
The probability that at least one of the three has type B+ blood is
(Round to three decimal places as needed.)
(d) Which of the events can be considered unusual? Explain. Select all that apply.
A.The event in part (c) is unusual because its probability is less than or equal to 0.05.
B. The event in part (a) is unusual because its probability is less than or equal to 0.05.
C.The event in part (b) is unusual because its probability is less than or equal to 0.05.
D.None of these events are unusualNone of these events are unusual.
Explanation / Answer
a) P(All three have B+ blood) = (0.07)3 = 0.000343
b) P(None have B+ blood) = (0.93)3 = 0.804
c) P(At least one has B+ blood) = 1 - P(None have B+ blood) = 1 - 0.804 = 0.196
d) The event in part (a) is unusual because its probability is less than or equal to 0.05. Option B is correct.
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