1) [1.5] For each problem, shade the correct area and find the numerical answer for each probability using the standard normal (z) distribution tables. a) P(Z > 0.41) b) P(0.18 < Z < 2.02) c) P (Z < -0.7) 2) [2] Use the tables or Excel to find each value: a) Zo.08 c) With d.f. = 22, X7.005 b) With d.f 12, t0.85 d) With dfn=2, dfd=6, f0.01 3) [0.5] Find the 9th percentile for the standard normal random variable Z: 4) [1.5] Use the tables to find each probability. a) With d.f. 28, find P(T < 1.701): b) With d.f. 9, find P(-1.833 < T < 2.821) = c) With d.f. = 16, find P(x > 26.296) = 5) [1] Use the Excel to find each probability. a) With d.f. 32, find P(T> -1.49) = . b) With dfn 17 and dfd = 9, find P(F < 0.57) = . 6) [0.5] Given normal variable X~N( = 50.2, = 3.5), find P(X < 42.65). Show work. 7) [2] The average amount of money spent by a Target customer is $73.58 with standard deviation $29.80. Assume the variable is normally distributed. Answer the following questions. Show work. a) What is the probability that a Target customer spent more than $70? b) What is the probability that a Target customer spent between $75 and $100? 8) [1] If the average score of the MCA exam was 77 with standard deviation of 18.3, what is the probability a random sample of 10 students had an average score under 70? Assume the variable is normally distributed. Show work.