Math 10 - February 8, 2018Quiz 3-1Name______Answer Key_____________Time: 30 MinutesNote: Do not share calculator or material among each other.Question 1(5 points)The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution withf(x) = 1/20 wherexgoes from 25 to 45 minutes.a)Define the random variable.X=The time, in minutes, until the next bus departs a major bus depot.b)X~U(25,45)c)Graph the probability distribution.d)The distribution iscontinuous(discrete or continuous).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