HW 7: Problem 1 Previous Problem Problem List Next Problem (1 point) The score on an exam from a certain MA 336 class, X, is normally distributed with / = 77.4 and o = 8.2. NOTE: Assume for the sake of this problem that the score is a continuous variable. A score can thus take on any value on the continuum. (In real life, scores are often treated as if they were continuous values but are actually discrete in most cases.) (a) Write the event "a score over 70.4" in terms of X: (b) Find the probability of this event: (c) Find the probability that a randomly chosen score is greater than 89.4: (d) Find the probability that a randomly chosen score is between 70.4 and 89.4: Note: You can earn partial credit on this problem.HW 7: Problem 3 Previous Problem Problem List Next Problem (1 point) Starting salaries of 150 college graduates who have taken a statistics course have a mean of $43,419. Suppose the distribution of this population is approximately normal and has a standard deviation of $10,248. Using an 85% confidence level, find both of the following: (NOTE: Do not use commas nor dollar signs in your answers.) (a) The margin of error: (b) The confidence interval for the mean M: Note: Round your answers to 1 decimal place. Note: You can earn partial credit on this