Rafaela is getting ready to take the bus to her job today. She checks the weathe
ID: 3137932 • Letter: R
Question
Rafaela is getting ready to take the bus to her job today. She checks the weather forecast and finds that there is a 50% chance for rain, Rafaela knows that when it rains, there is a 10% chance that her bus will be late to pick her up. On days that there is at least a 9% chance of her getting stuck in the rain waiting for the bus, Rafaela packs an umbrella. She decides to pack an umbrella today. Part A: Did Rafaela make a wise decision? Part B: While Rafaela is at work, the weather forecast changes to an 80% chance of rain in the afternoon evening what is the probability that Rafaela will need to use her umbrella while waiting for a late bus to take her home? Select one answer that is completely correct for Part A, and select one answer for PartB O A: No, Rafaela did not need to pack an umbrella. The probability of rain and the probability of a late bus are independent events, and the probability of both occurring is only 5% e A: Yes, Rafaela should have packed the umbrella. The probability of rain and the probability of a late bus are mutually exclusive events, and the probability of both occurring is 60% B: The updated weather forecast increases the probability of needing an umbrella to 16%. O B: The updated weather forecast increases the probability of needing an umbrella to 90%. A: No, Rafaela did not need to pack an umbrella. The probability of rain and the probability of a late bus are dependent events, and the probability of both occurring is only 5%. B: The updated weather forecast increases the probability of needing an umbrella to 9%. B: The updated weather forecast increases the probability of needing an umbrella to 8%. O A: Yes, Rafaela should have packed the umbrella. The probability of ran and the probability of a late bus are mutually nclusive events, and the robabili ofbothoccurrn isExplanation / Answer
A. No, Rafela did not need to pack an umbrella. The probability of rain and the probability of a late bus are dependent events, and the probability of both occuring is only 5%.
(50/100) * (10/100) - total probability = 5%
B. The updated weather forecast increases the probability of needing an umbrella to 8%
Total probability = probability of rain * probabilty of late bus
= (80/100) * (10/100) = 8%
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