Score: 0 of 1 pt 8 of 19 (3 complete) HW Score: 5.26%, X Bus Econ 7.5.39 Questio

Question

Score: 0 of 1 pt 8 of 19 (3 complete) HW Score: 5.26%, X Bus Econ 7.5.39 Question The given table indicates the transactions at a bank for one teller for one day. Letting C represent Transaction Cash Check No Check Totals cashing a check" and D represent "making a deposit," express PCC ID) in words and find its value. Make Deposit 68 24 92 No Deposit 27 15 Totals 134 95 39 Express P in words OMA. The probability of a customer not cashing a check, given that the customer makes a deposit O B. The probability of a customer not making a deposit, given that the customer cashed a check. O C. The probability of a customer not cashing a check, given that the customer does not make a deposit O D. The probability of a customer cashing a check, given that the customer makes a deposit Find P (C'ID) P (CID) (Type an integer or decimal rounded to two decimal places as needed.)

Explanation / Answer

Let I shows the event that bicycle did not pass inspection so

P(I|A) =1-0.98=0.02, P(I|B) =1- 0.94=0.06

And we have

P(A) =P(B) = 0.50

By the law of total probability, the probability that bike did not pass inspection is

P(I) = P(I|A)P(A) + P(I|B)P(B) = 0.02*0.50 + 0.06*0.50 = 0.08

So the probability that one of the factory's bikes did not pass inspection and came off assembly line B is

P(B|I) = [P(I|B)P(B)] / P(I) = [0.06* 0.50] / 0.08 = 0.375

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