I would like some detailed step by step explanation and solution for the follow continuous random variable exercise

4. The time between customers at Starbuz in Liguanea is evenly distributed over the interval [Y-1, Y+5]. a) What distribution is this? Name the distribution and clearly write the distribution function including the support of the function. Correct answers must include the proper notation. b) Calculate the mean time between customers in terms of y. c) Calculate the standard deviation of the time between customers. d) Calculate the 50th percentile in terms of y and interpret its meaning [while there are a few ways to calculate this answer, you must use your knowledge of percentiles and probability to possibly obtain the full marks allotted to this question]