eHomework: Section 4.4 Homework ange Score: 0.5 of 1 pt Save 3ofI3 (9 complete)
ID: 3062678 • Letter: E
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eHomework: Section 4.4 Homework ange Score: 0.5 of 1 pt Save 3ofI3 (9 complete) HW Score: 53 85%, 7 of 13 pts 4.4.9 Question Help * Consider a bag that contains 228 coins of which 6 are rare Indian pennies. For the given pair of events A and B, complete parts (a) and (b) below A: When one of the 228 coins is randomly selected, it is one of the 6 Indian pennies B: When another one of the 228 coins is randomly selected (with replacement), it is also one of the 6 Indian pennies a. Determine whether events A and B are independent or dependent t Sco b. Find P(A and B), the probability that events A and B both occur a. Choose the correct answer below ° A. O B. The two events are dependent because the 5% guideline indicates that they may be treated as dependent ubmi The two events are independent because the 5% guideline indicates that they may be treated as independent two events are dependent because the occurrence of one affects the probablity of the occurrence of the other The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other estion! b. The probability that events A and B both occur is estion (Round to sic decimal places as needed) se (MAT Enter your answer in the answer box and then click Check Answer 1 2018 P Check Answer Clear All All parts showingExplanation / Answer
4.4.9
The answer to question number (a) is
D. Two events are independent because occurance of one doesn’t effect the probability of occurance of others
Note: as coins are drawn with replacement the probability of B is not affected by event A
(b) P (A and B) = P (A) . P(B) ( as A and B are independent)
=( 6/228) * (6/228) = 0.000693
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