Thank you so much for helping me. Figure out the steps and the answers. You don't need to explain the steps:) Direct steps would be helpful for me. Thank you!

Question 1 [18 points] 60% students in a school take neither calculus nor probability course. 20% of students take calculus. 30% take probability. If one of the students is chosen randomly from this school, what is the probability that this student takes (n) calculus and probability? (6 points] (b) either calculus or statistics (but not both)? [6 points] (c) Are the events {a radnomly picked student takes calculus) and fa radnomly picked student takes probability } independent? Why? (6 points] [Hint: Draw a Venn diagram to visualize set calculations.] Question 2 [24 points] X ~ N(70, 100) is a normal random variable. # = 70 and o = 10. (a) Calculate P(X q) = 0.4168. [6 points] (d) If Y = 3+ 2X, find the distribution of Y. (6 points] [Hint: the standard normal table is attached on the last page.]