5. Togolese scientists have identified a new strain of the H1N1 virus. The genetic se-
quence of the new strain consists of alterations in the hemagglutinin protein, making
it significantly different than the usual H1N1 strain. Public health officials wish to
study the population of residents in Lome. Suppose that in this population,
• the probability of catching the usual strain is 0.08
• the probability of catching the new strain is 0.07
• the probability of catching both strains is 0.02
Answer the following questions below:
• a) Find the probability of catching the usual strain or the new strain.
• b) Find the probability of catching the usual strain, given that the new strain is
caught.
• c) Find the probability of catching the new strain, given that at least one strain
is caught.
• d) Find the probability of not catching the usual strain, given that the new strain
is not caught