Question

her ability to solve math problelli nunity college show that 40% of first-year studente les. Records also show that the graduation rate of e 18 75%. Assuming that these two factors are ch other, what is the probability that a randomly graduate from the college? (2 marks) cluing dldle card in the second d) A person's height and his or her ability to solve 52. The enrolment records of a community college si live in one of the college's dormitories. Records als the first-year students at this college is 75%. Assum independent of each other, what is the proba year student a) lives in a dormitory and will graduate from the b) does not live in a dormitory but will gradua c) does not live in a dormitory and will not grad 53. Event A represents the act of drawing a rank of eight from a stand cards. a) If B represents the event of drawing any diamond after the first card has been replaced back into the deck, determine the probability of A and B. (2 marks) b) If B represents the event of drawing any face card (king, queen, or jack) without the first card being replaced back into the deck, determine the probability of A and B. (2 marks) a dormitory but will graduate from the college? (2 marks) ve in a dormitory and will not graduate from the college? (2 marks)

Answer 1

52)a

Given percent of students live in dormitory 40%

Graduation rate 75% in the college

So probability of students live in dormitory and graduate from the college is

75% of 40 percent

that is (40)*.75

=30 %

B)So probability of students does not live in college dormitory and graduate is

60 % of the students does not live in dormitory

so 60*75/100

=45% of the students who does not live dormitory would graduate

C)

So the percent of the students does not live in dormitory and would not graduate

Percent of students who does not live in dormitory 60%

in that 75 % of students would pass and 25 % would not

so 60*25/100

=15% of the students who does not live in dormitory would not graduate