Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of light bulbs that burn out in the next week in a room with 10 bulbs. (b) The time it takes for a light bulb to burn out. (a) Is the number of light bulbs that burn out in the next week in a room with 10 bulbs discrete or continuous? OA. The random variable is discrete. The possible values are 0x 10. OB. The random variable is continuous. The possible values are 0 x 10. OC. The random variable is continuous. The possible values are x = 0, 1, 2,..., 10. D. The random variable is discrete. The possible values are x = 0, 1, 2,..., 10. (b) Is the time it takes for a light bulb to burn out discrete or continuous? OA. The random variable is continuous. The possible values are t = 1, 2, 3,.... OB. The random variable is continuous. The possible values are t>0. OC. The random variable is discrete. The possible values are t> 0. OD. The random variable is discrete. The possible values are t = 1, 2, 3,....