[3. Construct a probability distribution for the following random variable .r. [4. A survey indicates that 53% of women in the U3. consider reading their favorite hobby. You randomly select ve U.S. women and ask them if reading is their favorite hobby. a) Determine the values of n. p. q, and possible values of x. b) Find the probability that four of them respond yes. c) Find the probability that at least four of them respond yes. d) Find the mean and the standard deviation. [5. Find the area under the standard normal curve a) to the left ofz = - 0.98. b) to the right of z = 1.06. e) between 2 = l.5 and: = [.25. [6. Use the standard normal distribution to find a) P(z -=: 1.45) b) so: :- 1.35) e) P(o.54 c: z e 1.2) 1?. Find the z-soore that has 2.68% of the distri bution's area to its right. [3. Find the z-score that has area 0.0194 to the left. 19. Find the z-soore that has area 0.0[52 to the left. 20. Assume that the random variable X is normally distributed, with mean p = 30 and standard deviation o = [5. Find the probability P[X 3: 92}