The daily summer air quality index (AQI) in St. Louis is a random variable whose PDF is
Question:
(a) Find the value of k that makes this a valid PDF.
(b) A day is an "orange alert" day if the AQI is between 100 and 150. What is the probability that a summer day is an orange alert day?
(c) Find the expected value of the summer AQI.
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