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Question 1It is known that in Canada, the bool types have the following distribution: 46% O, 42% A, 9% B, 3% AB. A randomly chosen Canadian receives a blood transfusion. Knowing that O is a universal donor, A can donate only to A and AB, B can donate only to B and AB, and AB can donate only to AB, what is the probability that the transfusion is not successful ?Question 2According to recent estimates, only 45% of people in Africa have access to safe drinking water, this being the major cause of many waterborne diseases. The incidence rate of waterborne diseases in communities which do not have access to safe drinking water is 88% whereas in communities which do have access to safe drinking water, this rate is 32% a) What is the incidence rate of waterborne disease in Africa?b) A patient suffering from a waterborne disease is randomly chosen from a clinic in an African village. What is the probability that this patient did not have access to safe drinking water?Question 3(a) A lab has a population of 25 fruit flies, of which 5 are black and 20 are grey. A sample of 2 flies is selected. Is the fact that the second selected fly is black independent of the first one being black ? (b) Suppose now that there are 10.000 flies in the lab, of which 2.000 are black and 8.000 are grey. A sample of 2 flies is selected. Is the fact that the second selected fly is black independent of the first one being black?Question 4A blood center has been collecting data for many years. They noticed that 1% of all donors are positive for HIV and 2% are positive for herpes. If 1.5% of all donors are positive for only one of these conditions (but not both), what is the probability that a randomly chosen donor has none of these two conditions ?
