Tuff Turf is оffering the fоllоwing pricing on а remnаnt piece of turf (аrtificial grass) as shown in the diagram below. One of the dimensions is fixed at 10 ft, but the other may be modeled as a continuous uniform random variable, H, with f(h) = 1/15 for 15 ft < h < 30 ft Tuff Turf charges $3.50 per square foot (ft2). For example, if a 250 ft2 piece of turf is purchased, the customer will pay $3.50/ft2 (250 ft2 ) = $875.00. Let random variable C be the cost of purchasing a piece with horizontal length H. Determine the probability that the cost of purchasing a piece of turf is less than or equal to $770.50.
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