3348' test was given to a group of students. The grades i Male | Female and gender are summarized belgw If one student is chosen at random from those who took the test Find the probability that the student got a 'A' GIVEN they are female 2. A certain virus infects one in every 400 people. A test used to detect the virus in a. DEED-Fl is positive 805's of the time if the person has the virus and 10% of the time if the person does not have the virus. [This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". Hint: Make a Tree Diagram or a twoway contingency table a} Find the probability that a person has the virus given that they have tested positive. find P(A| B). Answer as a probability [proportion-hot percent}. Round your answer to at l three decimals. PlAlBJjh b) Find the probability that a person does not have the Le. find F__(!A I 13]. Round your proportion to at least t P;l_Aq!B)= 935': virus given that they test negative. hree decimals. Recall that probability is a proportion, not a percent. 3. Dandelions are studied for their etfec ts on crop production and lawn growth. in one region. the mean number of dandelions per son are meter was found to be 8.6. Find the probability of no dandelions in an area of 1 mi. P(X=)=P(X=~0)= Find the probability of at least one dandelion in an area of T mi. P(at least one) =. Find the probability of at most two dandelions in an area of 'I m=. P[K2)=P(X:2)=