The Jasper SkyTram transports passengers to the top of Whistler Mountain in the Canadian Rockies where...

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The Jasper SkyTram transports passengers to the top of Whistler Mountain in the Canadian Rockies where there are spectacular views, boardwalks, and hiking trails. The SkyTram travel time (in minutes) up the mountain is a random variable X with probability density function given by -0.75x2 +11.25x-41.4375 if 6.5 ≤ x ≤ 8.5 otherwise f(x) x) = { 0.75 The cumulative distribution function for X is given by -{o. P(X ≤ x) = if x < 6.5 -0.25(6.5-x)² (x-9.5) if 6.5 < x < 8.5 if x ≥ 8.5 (a) Sketch the aranh of the probability dencity function f(x) (c) Find the probability that a SkyTram ride up the mountain takes less than 7 minutes. Give your answer to at least three decimal places. P(X <7)= Incorrect (d) Find the probability that a SkyTram ride up the mountain takes more than 8.25 minutes. Give your answer to at least three decimal places. P(X> 8.25) = The Jasper SkyTram transports passengers to the top of Whistler Mountain in the Canadian Rockies where there are spectacular views, boardwalks, and hiking trails. The SkyTram travel time (in minutes) up the mountain is a random variable X with probability density function given by -0.75x2 +11.25x-41.4375 if 6.5 ≤ x ≤ 8.5 otherwise f(x) x) = { 0.75 The cumulative distribution function for X is given by -{o. P(X ≤ x) = if x < 6.5 -0.25(6.5-x)² (x-9.5) if 6.5 < x < 8.5 if x ≥ 8.5 (a) Sketch the aranh of the probability dencity function f(x) (c) Find the probability that a SkyTram ride up the mountain takes less than 7 minutes. Give your answer to at least three decimal places. P(X <7)= Incorrect (d) Find the probability that a SkyTram ride up the mountain takes more than 8.25 minutes. Give your answer to at least three decimal places. P(X> 8.25) =