Problem 4 (25 Points) When exposed to Los Angeles weather, the normalized time (in weeks) that it takes for a steel colu

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Problem 4 (25 Points) When exposed to Los Angeles weather, the normalized time (in weeks) that it takes for a steel colu

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Problem 4 25 Points When Exposed To Los Angeles Weather The Normalized Time In Weeks That It Takes For A Steel Colu 1
Problem 4 25 Points When Exposed To Los Angeles Weather The Normalized Time In Weeks That It Takes For A Steel Colu 1 (39.96 KiB) Viewed 39 times
Problem 4 (25 Points) When exposed to Los Angeles weather, the normalized time (in weeks) that it takes for a steel column to begin the oxidizing process can be described by the following pdf: f(x) = C(x²-x³), where 0≤x≤ 1 weeks. Please answer: a. What is the value of the constant C? (5 pts) b. What is the cumulative density function of x? (5 pts) c. What is the probability that the oxidizing process starts after 0.5 weeks? (5 pts) d. What is the probability that the oxidizing process starts after 0.5 weeks but before 0.9 weeks? (5 pts) e. What is the probability that the oxidizing process starts after 0.6 weeks but before 0.9 weeks, given that it started after 0.5 weeks? (5 pts)
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