The effectiveness of a vaccine for a certain disease is about 45%. This means that 45% of the vaccinated person will not get the disease when exposed. Assume that each person’s response to the disease is independent of another person’s response. 1) Find the probability that less than FIVE (5) persons will not get the disease if 12 people are exposed. 2) Find the probability that more than SIX (6) persons will not get the disease if 10 people are exposed. 3) Suppose a new vaccine has been introduced for the disease. The experimental study shows that the probability of NONE out of 12 people exposed will not get the disease is 0.05. Find the probability of effectiveness of the new vaccine

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The effectiveness of a vaccine for a certain disease is about 45%. This means that 45% of the
vaccinated person will not get the disease when exposed. Assume that each person’s response to
the disease is independent of another person’s response.


1) Find the probability that less than FIVE (5) persons will not get the disease if 12 people are
exposed.

2) Find the probability that more than SIX (6) persons will not get the disease if 10 people are exposed.

3) Suppose a new vaccine has been introduced for the disease. The experimental study shows that
the probability of NONE out of 12 people exposed will not get the disease is 0.05. Find the probability of effectiveness of the new vaccine

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