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Question Number 99229 by Ar Brandon last updated on 19/Jun/20

∗\ In the fight against covid−19, the probability of finding an individual       with signs of allergy during the injection of chloroquine is assumed to be 0.2       For a selection of 10 people, what is the probability that;  a\At least 3 people show signs of this allergy.  b\Between 3 and 5 people present these signs.  c\Determine the mathematical expectation and the standard deviation.

$$\ast\backslash\:\mathcal{I}\mathrm{n}\:\mathrm{the}\:\mathrm{fight}\:\mathrm{against}\:\mathrm{covid}−\mathrm{19},\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{finding}\:\mathrm{an}\:\mathrm{individual} \\ $$$$\:\:\:\:\:\mathrm{with}\:\mathrm{signs}\:\mathrm{of}\:\mathrm{allergy}\:\mathrm{during}\:\mathrm{the}\:\mathrm{injection}\:\mathrm{of}\:\mathrm{chloroquine}\:\mathrm{is}\:\mathrm{assumed}\:\mathrm{to}\:\mathrm{be}\:\mathrm{0}.\mathrm{2} \\ $$$$\:\:\:\:\:\mathcal{F}\mathrm{or}\:\mathrm{a}\:\mathrm{selection}\:\mathrm{of}\:\mathrm{10}\:\mathrm{people},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}; \\ $$$$\mathrm{a}\backslash\mathcal{A}\mathrm{t}\:\mathrm{least}\:\mathrm{3}\:\mathrm{people}\:\mathrm{show}\:\mathrm{signs}\:\mathrm{of}\:\mathrm{this}\:\mathrm{allergy}. \\ $$$$\mathrm{b}\backslash\mathrm{Between}\:\mathrm{3}\:\mathrm{and}\:\mathrm{5}\:\mathrm{people}\:\mathrm{present}\:\mathrm{these}\:\mathrm{signs}. \\ $$$$\mathrm{c}\backslash\mathcal{D}\mathrm{etermine}\:\mathrm{the}\:\mathrm{mathematical}\:\mathrm{expectation}\:\mathrm{and}\:\mathrm{the}\:\mathrm{standard}\:\mathrm{deviation}. \\ $$

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