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QUESTION 18 1 points Save Answer If the probability of an event (A) is 0.22 and

ID: 3307400 • Letter: Q

Question

QUESTION 18 1 points Save Answer If the probability of an event (A) is 0.22 and the probability of a second event (B) is 0.32, what is the probability of events A and B occuring, assuming they are independent events? Enter your response to two decimals (i.e. 0.12) QUESTION 19 1 points Save Answer Of the last 152 customers entering a shop, 28 have made a purchase. If the relative frequency method for computing probability is used, the probability that the next customer will make a purchase is? Enter your response to two decimals (i.e. 0.12)

Explanation / Answer

Q1.
Given that, P(A) = 0.22 ,P(B) = 0.32 , P(A n B) = 0.0704
If A and B are independent events,
P(A and B) = P(A) • P(B)
P (A or B)(A or B) = P(A)+P(B) - P(A) • P(B)
P( A U B ) = 0.22 + 0.32 - P(A) * P(B)
P( A U B ) = 0.54 -0.0704
P( A U B ) = 0.4696

probability of A and B occuring is P(A) * P(B) = 0.0704

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