82 The time in minutes until the next bus departs a major bus depot follows a distribution with f x 20 where x goes from 25 to 45 minutes a Define the random variable X b X c Graph the probability distribution d The distribution is name of distribution It is discrete or continuous e p f 0 g 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 h 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 i P 25 x 55 State this result in a probability statement similarly to Parts g and h draw the picture and find the probability j Find the 90th percentile This means that 90 percent of the time the time is less than minutes k Find the 75th percentile In a complete sentence state what this means See Part j 1 Find the probability that the time is more than 40 minutes given or knowing that it is at least 30 minutes