1. A bag contains 10 red, 5 blue, and 7 yellow poker chips. You randomly choose 2 poker chips, one at a time. Find the probability both chips are blue: a) With replacement b) Without replacement 2. A single die is rolled 4 times. Find the probability of getting at least one 5. (This problem can be done using the complement) 3. In the following probability distribution, the random variable x represents the number of activities a parent of a K-5th grade student is involved in. x 0 1 2 3 4 P(x) 0.035 0.074 0.197 0.320 0.374 (a) Verify that this is a probability distribution by checking each of the followings: - a numerical random variable associated with corresponding probability. - = ? - 0 () 1 for each probability? (b) Draw a probability histogram. (c) Compute and interpret the mean of the random variable x: (d) Compute the variance of the random variable x: (e) Compute the standard deviation of the random variable x: (f) What is the probability that a randomly selected student has a parent involved in at least one activity? (g) What is the probability that a randomly selected student has a parent involved in three or four activities