The table here shows the average number of births per day in the United States as reported by the CDC (Centers for Disease Control). Based on this information, what is the probability that one baby identified at random was: a. Born on a Monday? b. Born on a weekend? c. Born on a Tuesday or Wednesday? d. Born on a Wednesday, Thursday, or Friday? Day Number Sunday 7,563 Monday 11,733 Tuesday 13,001 Wednesday 12,598 Thursday 12,514 Friday 12,396 Saturday 8,605 Tota 78,410 A group of files in a medical clinic classifies the patients by gender and by type of diabetes (type 1 or type 2). The groupings may be shown as follows. The table gives the number in each classification. Type of Diabetes Gender 1 2 Male 30 15 Female 35 20 a. Display the information on this 2 X 2 table as a Venn diagram using "type 1" and "male" as the two events displayed as circles. Explain how the Venn diagram and the given 2 X 2 table display the same information. If one file is selected at random, find the probability of the following: b. The selected individual is female. c. The selected individual has type 2 diabetes.There is a large variation in price for private four- year colleges in the United States. The average 2007-2008 tuition and fees ranged from $3,000 to over $36,000 annually, according to CollegeBoard (www. collegeboard.com/). The distribution of full-time under- graduates at private four-year institutions is: Tuition and Fees Percent of Full-Time Undergraduates $36,000 and over $33,000 to $35,999 $30,000 to $32,999 $27,000 to $29,999 $24,000 to $26,999 $21,000 to $23,999 $18,000 to $20,999 11 $15,000 to $ 17,999 $ 12,000 to $ 14,999 6 $9,000 to $ 1 1,999 $6,000 to $8,999 $3,000 to $5,999 6 100% Supposing a college student at a private four-year institu- tion is randomly selected to participate in a survey, what is the probability that the student: Attends a college that costs less than $12,000 annually? Attends a college that costs $30,000 or more annually? C. Attends a college that costs between $15,000 and $26,999 annually? d. Attends a college that costs less than $3000 annually? If P(A) = 0.4, P(B) = 0.5, and P(A or B) = 0.7, find P(A and B). The probability of A is 0.5. The conditional probabil- ity that A occurs given that B occurs is 0.25. The condi- tional probability that B occurs given that A occurs is 0.2. a. What is the probability that B occurs? b. What is the conditional probability that B does not occur given that A does not occur?Do people take indoor swimming lessons in the middle of the hot summer? They sure do at the Webster Aquatic Center. During the month of July 2009 alone, 283 people participated in various forms of lessons. Swill ' ' e Eveni 5 Preschool 66 80 levels 69 St; Adult and diving l0 2 Total 145 I33 If one swimmer was selected at random from the July participants: a. Are the events the selected participant is \"daytime\" P- asst-"n and \"evening" mutually exclusive? Explain. Are the events the selected participant is \"preschool\" and \"levels" mutually exclusive? Explain. Are the events the selected participant is \"day- time\" and \"preschool\" mutually exclusive? Explain. Find P(preschool). Find P(daytime). Find P(not levels). Find P(preschool or evening). Find P(preschool and daytime). Find P(daytime | levels). Find P(adult and diving | evening). P(G) = 0.5, P(H) = 0.4, and P(G and H) = 0.1 (see the diagram). WHPP-PST!\" Find P(G|H). Find P(H|G). ca\" Find P(H). . Find P(G or H). Find P(G or H). Are events G and H mutually exclusive? Explain. Are events G and H independent? Explain. | A March 11, 2009, USA Today article titled "College freshmen study booze more than books" presents the fol- lowing chart depicting average hours per week spent on various activities by college freshmen. The study's spon- sor, Outside the Classroom, surveyed more than 30,000 first-year students on 76 campuses. Activity Average Amount of Time/Week Partying 10.2 hours Studying 8.4 hours Exercising 5.0 hours Online social networking or 4. 1 hours playing video games Social networking 2.5 hours Working for pay 2.2 hours a. What is the random variable involved in this study? b. Is the random variable discrete or continuous? Explain. The College Board website provides much inform tion for students, parents, and professionals with resp to the many aspects involved in Advanced Placeme (AP) courses and exams. One particular annual rep provides the percent of students who obtain each of t possible AP grades (1 through 5). The 2008 grade dist bution for all subjects was as follows: AP Grade Percent 20.9 21.3 24.1 LAWN 19.4 14.3 a. Express this distribution as a discrete probability distribution. b. Find the mean and standard deviation of the AP exam scores for 2008