A test was given to a group of students. The grades and gender are summarized below A C Total Male 8. 11 9. 28 Female 20 18 12 50 Total 28 29 21 78 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'.
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To calculate:
Probability that the student was female given that they got a B.
Using Conditional probability,
Number of females who got B grade = 18
Total number of students who got B grade = 29
Step by step
Solved in 2 steps
- Giving a test to a group of students, the grades and genders are summarized below A B Total Male 10 7 8 25 Female 12 3 17 32 Total 22 10 25 57 If one student was chosen at random, 1. Find the probability that the student got a B. Answer: 0.1754 2. If the chosen student was male, find the probability that this student got a grade C or B. Answer:Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?The histogram below gives the length of service of members of the Department of English at a particular university. The classes, in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical axis represents the number of faculty. 1) What percent of the department faculty have less than 15 years of service? 2) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 5 and 45 years of service? 3) What is the probability the representative above will have less than 20 years of service given that the person has less than 25 years of service?
- The following data represent the number of siblings (brothers and sisters) in the families of 20 students who were surveyed. O siblings = 2, 1 sibling = 3, 2 siblings =7, 3 siblings = 2, 4 siblings = 2. What is the probability of randomly selecting a student with 2 or more siblings? Input three-decimal fraction or percentage. Answer:Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table. Drove When Drinking Alcohol? No 3171 4430 Yes Texted While Driving 714 No Texting While Driving 172 If four different high school drivers are randomly selected, find the probability that they all drove when drinking alcohol. The probability that four randomly selected high school drivers all drove when drinking alcohol is (Round to six decimal places as needed.)A marketing company has randomly surveyed 204 men who watch professional sports. The men were separated according to their educational level (college degree or not) and whether they preferred the NBA or the National Football League (NFL). The results of the survey are shown to the right. Complete parts a through d. Sports Preference NBA College Degree 36 No College O Degree 58 NFL 19 91 a. What is the probability that a randomly selected survey participant prefers the NFL? (Round to four decimal places as needed.) b. What is the probability that a randomly selected survey participant has a college degree and prefers the NBA? (Round to four decimal places as needed.) c. Suppose a survey participant is randomly selected and you are told that he has a college degree. What is the probability that this man prefers the NFL? (Round to four decimal places as needed.) d. Is a survey participant's preference for the NBA independent of having a college degree? No. The two events are not…
- The mean number of boxes shirts purchased from a souvenir store per week is 5. Find the probability that in a week there are three or more boxes of shirts sold. a. 0.543 b. 0.491 c. 0.549 d. 0.351Giving a test to a group of students, the grades and gender are summarized below A Total Male 14 12 31 Female 19 15 42 Total 13 33 27 73 If one student is chosen at random, Find the probability that the student was male OR got an "B". 58As to the below Travel Expenses table published by the Students’ Union, 185 students were randomly selected to help understand the travel expenses and distance to campus. What’s the probability for Mike to spend over £10 on journeys to campus? Distance to Campus (miles) Amount spent, £ 0.1 to 0.25 0.26 to 1.0 Over 1.0 0 – 4.99 35 26 10 5.00 – 9.99 18 39 20 10.00+ 4 14 19 I have three answers and I am not sure which one is correct: a) 37/ 185 b) 19/ 185 c) 19/49 Please write which answer is correct and WHY... Thank you
- Out of 100 surgeries tracked in a study, 3 were followed by surgical site infections. Assume an underlying probability of infection p 5% for each surgery. What is the probability to obtain the exact infection rate calculated from the observations? Write as percentage with two decimal places and without percent sign. Your Answer: AnswerPlease explain your answers . Thank you.This is statistics and probability Please answer ASAP