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Card 12 / 16:
The time (in minutes) until the next bus departs a major bus depot follows a distribution with f ( x ) = 1 20 where x goes from 25 to 45 minutes.
Define the random variable. X = ________X ~ ________Graph the probability distribution.The distribution is ______________ (name of distribution). It is _____________ (discrete or continuous).μ = ________σ = ________Find the probability that the time is at most 30 minutes. Sketch and label a graph of the distribution. Shade the area of interest. Write the answer in a probability statement.Find the probability that the time is between 30 and 40 minutes. Sketch and label a graph of the distribution. Shade the area of interest. Write the answer in a probability statement.P (25 < x < 55) = _________. State this in a probability statement, similarly to parts g and h, draw the picture, and find the probability.Find the 90 th percentile. This means that 90% of the time, the time is less than _____ minutes.Find the 75 th percentile. In a complete sentence, state what this means. (See part j.)Find the probability that the time is more than 40 minutes given (or knowing that) it is at least 30 minutes.
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