22 Apr MATH 399 Applied Managerial StatisticsWeek 3 Assig
MATH 399 Applied Managerial StatisticsWeek 3 Assignment Multiplication Rules for Probability and the Fundamental Counting PrincipleQuestion The probability that a child watches cartoons after school is 0.56. The probability that the child requests a certain toy of a cartoon character given that the child watches cartoons after school is 0.89. What is the probability that a child will request a toy and watch cartoons after school?Give your answer as a percent, rounded to two decimal places if necessary.Question If you roll a fair die and then flip a fair coin, what is the probability that you roll greater than 1 and get heads with the coin?Write your answer as a fraction.Question The probability that a car has a certain factory defect is 825. The probability that a car has a certain factory defect and needs an oil change is 750. What is the probability that a car needs an oil change given that it has a certain factory defect?Give your answer as a fraction in simplest form.Question If you roll a fair die and then roll a second fair die, what is the probability that you roll a 1, 2, or 3 on the first die and roll a 5 on the second die?Write your answer as a fraction.Question A couple has two children. Let A be the event that their first child is a boy, and note that P(A)=51.2%. Let B be the event that their second child is a girl, with P(B)=48.8%.A and B are independent events. What is the probability that the couple has a first child that is a boy and a second child that is a girl?Give your answer as a decimal rounded to two decimal places.QuestionGiven that P(A AND B)=0.29 and P(A|B)=0.67, what is P(B)?Give your answer as a percent. Round to two decimal places.QuestionGiven that P(A AND B)=0.70 and P(A|B)=0.94, what is P(B)?Round your answer to three decimal places.QuestionIf A and B are independent events with P(A)=0.60 and P(A AND B)=0.30, find P(B).Give your answer as a percent, rounded to two decimal places if necessary.
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