Student ID, Last night's hours of sleep: 163708, 185195 (5), 253586, 38474 (8.5), 250835, 247254 (2), 259883 (6), 252801 (7), 254976 (7), 284343 (5), 284446 (5), 261602 (0)
Create a discrete variable by using the following arbitrary intervals:
X < 3, 3 ≤ X < 6, 6 ≤ X < 9, X ≥ 9
(a) Estimate the probability distribution for X
(b) Calculate the estimated mean and variance for X