A random variable has the following probability function X 0 1 2 3 4 5 6 7 P(x) 0 K 2k 2k 3k a) Estimate for Major Topic Discrete Random Variable Blooms Designation AP Score 6 b) Determine the mean and variance Major Topic Discrete Distribution Blooms Designation AN Score 7 c) Suppose that the life of light bulbs forms a normal distribution with a mean life of 5000 hours and a standard deviation of 1000 hours. The probability that the life of a randomly selected light bulb will last more than 6500 hours most nearly is................ Major Topic Normal distribution Blooms Designation AP Score 6 d) If probability density functions of a random variable x is Find the percentage probability