The time T a business is closed after a fire has the cumulative distribution function t>0 Fr(t) = t+1 otherwise The cost to the insurer is X = VT. Determine the density of X for x > 0.

"Medians, etc problem."   Suppose X has density x−2 for x ≥ 1. Find the density function for Y = X2.

pls. answer and provide complete solution

Please help me! I dont understand this.

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y = f(x) a. If the graph of f(x) above is a probabilty density function, the area under f(x) = 1 (true or false) O True O False y = f(x) a b b. The area under f(x) on the interval [a,b] is equal to...? Select an answer Select an answer Select an answer The probability the outcome The probability the outcome c. One method to find the area under f(x) above is...:| Select an answer v greater than a Select an answer between a and b good guesswork derivatives integration

Waiting for the Train. A commuter train arrives punctually at a station every half hour. Each morning, a commuter named John leaves his house and casually strolls to the train station. The time, in minutes, that John waits for the train is a variable with density curve y = 1/30 for 0< x< 30, and y = 0 otherwise. a. Graph the density curve of this variable.b. Show that the area under this density curve to the left of any number x between 0 and 30 equals x/30. What percentage of the time does John wait for the trainc. less than 5 minutes?d. between 10 and 15 minutes?e. at least 20 minutes?