14 kids choose to play guitar, 18 choose violin and 15 choose sax. 5 choose both guitar and violin, 3 choose both guitar and sax, 4 choose violin and sax and one plays all 3. How many students are...

14 kids choose to play guitar, 18 choose violin and 15 choose sax. 5 choose both guitar and violin, 3 choose both guitar and sax, 4 choose violin and sax and one plays all 3. How many students are...

In a group of 140 students, 85 know how to use a Macintosh, 100 know how to use an IBM-compatible computer, and 10 do not know how to use either kind. How many students know how to use both kinds...

Pr[E′|F]= Pr[E|F′]=

An investigator interviewed 100 students to determine their preferences for the three drinks milk coffee and tea. He reported the following, 10 students had all the three drinks, 20 had milk...

the following facts were discovered about Adam's Lunch (AL), Pizza Tower (PT), and the Dining Hall (DH). 25 liked AL but not PT 15 liked AL only 58 liked AL 63 liked PT...

how do i solve this

Pr[A|B]= Pr[B|A]=

Pr[E|F]= Pr[F|E]=

In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch (AL), Pizza Tower (PT), the Dining...

(1) Pr[E∪F]= (2) Pr[F′∩G]= (3) Pr[E′∩G′]=

In a certain college of engineering, 58% of students major in mechanical engineering; 32% major in aeronautical engineering. What percentage of students double major in mechanical and aeronautical...

The company is conducting a survey to determine the spread of two strains of viruses (type A and type B) in a certain wing of a hospital. Out of 450 patients, 267 tested positive to virus A 253...

Hi there, Parks a survey of 300 parks showed the following: 15 had only camping 20 had only hiking trails 35 had only picnicking 185 had camping 140 had camping...

from a survey of 100 students 70 indicated that they were studying at least one of the three langauges 11 students study both arabic and accent greek 13 students study both arabic...

From a survey of 100 students, 70 indicated that they were studying at least one of the three languages: Arabic, Ancient Greek, and Latin. The survey had the following results: 40 students study Arabic...

Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections. (1) In how many ways can the...

involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined...

Assume that you have 10 mice in the cage: 4 white males, 3 gray females, and 3 gray males. Two mice are selected simultaneously and at random, and their colors are noted. What is the probability...

Assume that 30 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 65 percent plan to major in science. Of those who did not take calculus in high...

involving the rolling of two fair dice. Answer the following questions. (1) What is the probability that the sum is 11, given that at least one of the numbers rolled is even? (2) What...

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