Question 1118959
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As of March 2018, the unemployment rate is 4.1, which means that there is a 4.1 % probability that a working age adult is unemployed.



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7.  If we surveyed 100 adults, what is the probability that exactly 5 of them are unemployed?


    This probability is  {{{C[100]^5*0.041^5*(1-0.041)^95}}} = {{{((100*99*98*97*96)/(1*2*3*4*5))*0.41^5*0.959^95}}} = use your computer = 0.1635 = 16.35%.



8.  What is the probability that no more than 2 are unemployed?


    {{{(1-0.041)^100}}} + {{{C[100]^1*0.041*(1-0.041)^99}}} + {{{C[100]^2*0.041^2*(1-0.041)^99}}} = {{{0.959^100 + 100*0.041*0.959^99 + 4950*0.041^2*0.959^98}}} = use your computer = 0.2177 = 21.77%.
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