Jayden has a coin that is weighted so that the probability that Tails appears wh

Question

Jayden has a coin that is weighted so that the probability that Tails appears when it is tossed is 0.56. Suppose that the coin is tossed 3 times. What is the probability that at 3 tosses are Tails? Write only a number as your answer. Round to four decimal places more (for example: 0.0325). Do not write as a Your Answer: In a survey on study habits, students at a local college were asked whether they listened to music while studying. The following table was constructed. Find the probability at that a randomly selected student listens to while studying given that the student is female. write only a number a your answer, Round to two decimal places (for example: 0.73). Do not write as percentage your answer

Explanation / Answer

Solution:-

4) P = (.56)^3 = 0.1756

5) Bayes theorem says : P(A|B) = P(A ^ B)/P(B)

  P(B) = (18+39)/(49+31+18+39) = 57/137

P(A and B) = 18/137

P(A|B) = P(A ^ B)/P(B)

= (18/137)/(57/137)

=   0.32

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