HOME WORK 3. Given : P[A) = 0.2, P( B) - 0.4, P[ A/B) -0.1, Compute P( A and B) 4. Given : P(A) = 0.2, P( B) = 0.5 and P( A/B) =0.3 Compute P(A and B), Compute P(A or B) 5. Given : P[A) = 0.2, P( B) =0.3, and P( B/A) = 0.2, Compute P(A and B) Compute P[A or B ) An animal shelter has a 61% adoption rate for puppies. Of all the puppies in the shelter, 77% live to be 7 years older. Of all the puppies who are adopted, 85% lived to be 7 years older. (a) What is the probability that a random selected puppy in the shelter will get adopted and live 7 years older? [b) Professor lackson is in charge of a program to prepare people for a high school equivalency exam. Records show that 4.23%% of the students need work in Math, 3.4% need work in English, and 2:03%% need work in both areas. Compute the probability that a student selected at random needs Math or English. 7. The probability a student will pass Statistics exams is 75%, and the probablety he will pass an English exam is 74%. The probability the student will pass English exam is 56%, giving he has passed Statistics. (a) Find the probability the student will pass English and Statistics, (b) Find the probability the student will pass English or Statistics