1. Consider the experiment of rolling a die twice. Find the probability that the sum of the numbers obtained on two rolls is 4, 6, 7, or 10. 2. The following table gives the probability distribution of a discrete random variable :3. :r: 0 1 2 3 4 5 19(33): 0.03 0.17 0.22 0.31 0.15 0.12 Find the following probabilities: (a) Probability that :0 assumes a value greater than 3. (b) Probability that 3: assumes a value in the interval 2 to 4. Also, calculate the mean and standard deviation of this probability distribution. 3. According to a survey of 3000 home owners, 1600 of them own homes with three bedrooms. and 900 of them own homes with four bedrooms. If one home owner is selected at random from these 3000 home owners, nd the probability that this home owner owns a house that has three or four bedrooms