please i want everything solved and step by step; show work.

(1) The following chart compares occupations with salaries. Salary Range Occupation 40,000 or less 41 to 70,000 71 to 100,000 More than 100,000 tota Accountant 20 25 35 20 100 Teacher 20 15 15 5 55 Nurse 10 15 20 5 50 Lawyer 5 10 20 50 85 Total 55 65 90 80 290 Find the probability that a person selected from this group at random is: a) a nurse. b) a lawyer earning more than 100,000 c) a teacher or someone earning between 41,000 and 70,000. d) a nurse and a teacher. e) A lawyer or someone earning between71,000 and 100,000. f) an accountant given that they earn more than 100,000. g) a person earning 40,000 or less given that they are a teacher. (2) It is known that 72% of college students like rap music. In a group of 42 students, find the probability that: a) Exactly 30like rap music. b) Between 28 and 32like rap music. c) Less than 27 like rap music. d) More than 28 like rap music. (3) The time it takes for babies to learn to walk is known to be normally distributed with mean 9 months and standard deviation of1.5 months. What percent of babies learn to walk: a) between 8 and 11months. (inclusive) B more than 10 months. c) less than 8 months. (4) Given the x and y data pairs below: a. Make a scatter diagram. b. Give the correlation coefficient. c. Give the regression equation. d. Draw the regression line on the scatter diagram using the yp points. e. Find y for x = 50 X 20 10 30 40 60 70 y 20 20 30 50 60 80 Spring 2020 MTH 209 & MTH 213 Midterm A Name 5. Descriptive Statistics. For the given data: 4 8 18 20 21 22 23 24 25 26 27 28 29 30 30 31 31 32 32 33 33 34 35 36 37 38 39 47 53 a. Make a Frequency Diagram with 7 classes. b. Draw the histogram. c. Give the five number summary d. Draw the box and whisker diagram showing the fences, the whiskers and the outliers