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a. Find the probability that at least one of the five does not have the Rh facto

ID: 3275993 • Letter: A

Question

a. Find the probability that at least one of the five does not have the Rh factor. b. Find the probability that at most four of the five have Rh blood. A survey of 100 people revealed: 15 enjoy only scary movies 30 enjoy only comedy films 8. 48 enjoy watching both types 7 do not watch movies Let A denote the event that a randomly chosen survey participant enjoys scary movies and B denotes the event that the participant enjoys comedies. Calculate the following probabilities a. P(A) b. P(AUB) c. P(B) d. P(AB) e. P(AUB) f P(AB) h. P(AnB)

Explanation / Answer

8)

a) P(A) = (15 + 48) / 100 = 0.63

b) P(A U B) = (15 + 48 + 30) / 100 = 0.93

c) P(B') = 1 - (30+48)/100 = 0.22

d) P(A B) = 48/100 = 0.48

e) P(A U B') = (15 + 7) / 100 = 0.22

f) P(A B)' = 1 - P(A B) = 1 - 0.48 = 0.52

g) P(A U B)' = 1 - P(A U B) = 1 - 0.93 = 0.07

h) P(A ' U B) = (30 + 7) / 100 = 0.37

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