STAT_7 D_Preview Score: 5/14 3/3 answered X Question 2 v Next question You can retry this question below Mali travels to work each clay either by walking or riding her bike. It turns out that 15% of the days are rainy. On a rainy day, there is an 80% chance she walks to work. Ifit is not raining, there is a 30% chance she walks to work. On Monday, you have no idea whether it's raining or not. Then Mali walks into work with her bike helmet. which tells you she biked to work. What is the probability that it is raining? We are provided the probability that Mali walks to work given it is raining, but we want to calculate the probability that it is raining given she biked to work. In this question, we are not given the table to directly answer the questions, so one common problem-solving strategy is to create a table using a hypothetical number of responses. In Parts A through H, use a hypothetical sample of 1,000 days. Note that you could use any hypothetical number ofdays, but using a number like 1,000 usually makes the calculations easier. As you work through the parts of this question, complete the table. Bike Walk Total Part E: 11 Part A: Use the given information "15% of the days are rainy" to calculate the value and add it to the table. Part B: Use the given information "On a rainy day, there is an 80% chance she walks to work" to calculate the value and add it to the table. Part C: Use the answers to Parts A and B to calculate the number of days it rains AND she bikes. Part D: Calculate the number of days that there is no rain. Hint The row totals should add up to 1,000 Part E: Use the given information "If it is not raining, there is a 30% chance she walks to work" to calculate the value and add it to the table. Part F: Calculate the number of days it does not rain AND she bikes. Part G: Fill in the two remaining cells of the table. Part H: Finally! Answer the original question: On Monday, you have no idea whether it's raining or not. Then Mali walks into work with her bike helmet, which tells you she biked to work. What is the probability that it is raining? Round to the nearest thousandth. P(rain GIVEN bike) : E Calculator STAT_7 B_Practice Score: 7110 2f2 answered Score on last try: 2 of5 pts. See Details for more. You can retry this question below A total of 1,814 Americans were given a survey asking them to describe their happiness and income. The results are as follows: - 21 survey respondents described their income as "Above Average" and their happiness as "Not Happy." - 96 survey respondents described their income as "Average" and their happiness as "Not Happy-" - 143 survey respondents described their income as "Below Average" and their happiness as "Not Happy." - 213 survey respondents described their income as "Above Average" and their happiness as "Pretty Happy." - 506 survey respondents described their income as "Average" and their happiness as "Pretty HaPPV-" - 347 survey respondents described their income as "Below Average" and their happiness as "Pretty Happy." - 126 survey respondents described their income as "Above Average" and their happiness as "Very Happy." - 248 survey respondents described their income as "Average" and their happiness as "Very Happy-" - 114 survey respondents described their income as "Below Average" and their happiness as "Very Happy." Part A: Complete the following table, including the total values, using the results described above. Happiness PreuyHappy veryHappy AboveAverage ' . . '126 :'o" Income Average , , l 248 J 0 Below Average Total Part B: Find the probability that a randomly selected person is not happy and has an above average income. Round to the nearest thousandth. 26.901 X Part C: Find the probability that a randomly selected person is very happy or has an above average income. Round to the nearest thousandth. 29.176 X Part D: Find the probability that a randomly selected person does NOT have a below average income and is NOT very happy. Round to the nearest thousandth. 0.397 X Part E: Are the event "Very Happy" and the event "Below Average" income mutually exclusive? Explain. No, since a person can feel very happy and have a below average income. 0 Yes, since a person can feel very happy and have a below average income. 0 Yes, since a person can feel very happy regardless of income. 0 No, since a person cannot feel very happy with a below average income. 04 E Calculator