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Problem 3. (4 points) Jasper sometimes falls asleep in class. He also always sits either in the front row or the back row of
Problem 3. (4 points) Jasper sometimes falls asleep in class. He also always sits either in the front row or the back row of the classroom. If he sits in the front row, he falls asleep 16.4% of the time (and doesn't fall asleep the rest of the time). If he sits in the back row, he falls asleep 42% of the time (and doesn't fall asleep the rest of the time). Jasper sits in the front row of the classroom for one out of every 5 class meetings. Use this information to answer the following questions. a. Complete the following contingency table. Please enter your answers as decimal number probabilities, not percentages or counts. Do NOT round any values in the table! (Hint: you may find it helpful to draw a tree diagram first.) Note: you must complete at least the table to receive any marks on this question. Event Falls Asleep Does Not Fall Asleep Column Totals Front Row Back Row Row Totals b. What is the probability that Jasper falls asleep in class or sits in the back row? Answer: Round to at least FIVE digits after the decimal if necessary. c. What is the probability that Jasper falls asleep in class? Answer: Round to at least FIVE digits after the decimal if necessary. d. Suppose Jasper does not fall asleep in class. What is the probability that he is sitting in the back row? Round to at least FIVE digits after the decimal if necessary. Answer:
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