1. Consider the binomial variable with n = 4 and p =.30 Find: a. P(x 3ln=4, p = 0.30); i.e., find the probability that x will be at most 3; b. P(x=3|n=4, p = 0.30); i.e., find the probability that x will be exactly 3; c. P (3x4|n=4, p = 0.30); i.e., find the probability that x is at least 3 and no more than 4-from 3 to 4 inclusive; d. P(x 4|n = 4, p = 0.30); i.e., find the probability that x is at least 4. e. P (3x4n = 4, p = 0.60) 2. Find the following: a. C b. Co c. C d. CZ e. C 3. Calculate the following quantities. 4.Work this problem b) c) F x P(x) 0 0.03 123 0.12 0.22 0.13 4 0.16 5 0.24 6 0.1 Total 1 Compute the mean and the standard deviation. d) 2141