Question 1

In the state of Minnesota with a fairly large population, a recent study showed that 44% of the people got a flu shot/flu vaccination last year.a) If one person in Minnesota is selected at random, what is the probability theydid not get a flu shot last year?b) If 2 Minnesotans are selected at random, what is the probability that they bothgot the flu shot?c) If 4 people are randomly selected from across Minnesota, what is the probabilitythat AT LEAST ONE of them got the flu shot?

Question 2

$\begin{gathered} \text{let p be the probability that the person got flu and q the probability that the person did not get flu} \\ p=0.44,q=0.56 \\ so\text{ for the question a) the anwer is 0.56} \\ b)the\text{ event of having flu is indepent so if we want 2 people to have flu at the same time we get} \\ 0.44\cdot0.44=0.1936 \\ to\text{ solve letter c, is better to calculate when none of the 4 people got flu} \\ so\text{ this is when you get} \\ 0.56\cdot0.56\cdot0.56\cdot0.56=0.09834496 \\ \text{if we want at least one with flu, we have to calculate the complement of none} \\ 1-0.09834496=0.90165504 \end{gathered}$

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