Answer all the exercises in Statistics and Probability and provide some explanations so I can understand. Please answer all the questions.

Exercises 4 1. Classify each variable as categorical or numerical. (a) Colors of jackets in a men's clothing store. (b) Number of seats in classrooms. (c) Classification of children in a day care center (infant, toddler, preschool). (d) Length of fish caught in a certain stream. (e) Number of students who fail their first statistics examination. 2. Classify each variable as discrete or continuous. (a) Number of loaves of bread baked each day at a local bakery. (b) Water temperature of the saunas (steam bath) at a given health spa. (c) Income of single parents who attend at a community college. (d) Lifetimes of a certain type of batteries in a tape recorder. (e) Weights of newborn infants at a certain hospital 3. Classify each as nominal, ordinal, interval, or ratio level. (a) Horsepower of motorcycle engines. (b) Ratings of newscasts in Philippines (poor, fair, good, excellent). (c) Temperature of automatic popcorn poppers (d) Time required by drivers to complete a course. (e) Salaries of cashiers of Day-Night grocery stores. (f) Marital status of respondents to a survey on savings account. (g) Ages of students enrolled in martial arts course. (h) Weights of beef cattle fed a special diet. (i) Rankings of weight lifters. (i) Number of exams given in a statistics course. (k) Ratings of word-processing programs as user-friendly. | (1) Temperatures of a sample of automobile tires tested at 55 miles per hour for six minutes. (m) Weights of suitcases on a selected commercial airline flight. (n) Classification of students according to major field. (o) Data are classified according to color. (p) Years of service in a company.Exercises 6 Given x1 = 3, x2 = 4, x3 =8, x4 = -2, yl = -6, yz =1, y3 =5 and y4 =0, find the value of the following: 2 4 1. x2 2. Exi 3. 11 MW Exiyi i=1 1 0 4 (3xj + yi) 5. [(2x; - yi)2 6. I MP x 2 Eyi i=1 i=1 i=1 3 7. _(5xi +10) 8. Exi Eyi 9. Eyi + 5 i=1 1=2 1=2 i=1Exercises 7 For numbers 1-3, find the (a) mean, (b) median and the (c) mode. (1) The grade point averages of 10 students who applied for financial aid are shown below: 3.62 2.54 2.81 3.97 1.85 1.93 2.63 2.50 2.80 (2) The calories per servings of 11 fruit juices are 150, 110 , 100, 35, 60, 130, 40 , 140,120, 160 and 110 (Source: Consumer Reports, February 1995, p. 79). (3) During 1993, the major earthquakes had Richter magnitudes are as follows: 7.0, 6.2, 7.7, 8.0, 6.4, 6.2, 7.2, 5.4, 6.4, 6.5, 7.2 and 5.4 (Source: The Universal Almanac 1995, p.567). (4) A student received an A in English Composition 1 (3 credits), a C in Introduction to Psychology (3 credits), a B in Biology 1 (4 credits), and a D in Physical education (2 Credits). Assuming A= 4 grade points, B=3 grade points, C = 2 grade points and D= 1 grade point. Find the student's grade point average. Course Units (wi) Grade(x) Eng Comp 1 A (4 points) Intro to Psych w C (2 points) Biology B (3 points) Phys Ed D (1 point) (5) Suppose a student made an average score of 64% in the quizzes, 48% in the first prelim, 35% in the second prelim, and 55% in the final exam. What is the final average score of the student if the quizzes weigh 30% of the total grade, first prelim 20%, second prelim 20%, and final exam weigh 30%? Did the student pass the course if the passing cut-off score is 45%