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Question

(A) Let event $E_1$ be the event that there is a lockdown and $E_2$ be the event that there is no lockdown. Let $A$ be the event that the pandemic is

Vedclass · Accepted Answer

$0.65$

Vedclass · Answer

(A) Let event $E_1$ be the event that there is a lockdown and $E_2$ be the event that there is no lockdown. Let $A$ be the event that the pandemic is controlled in one month.Given probabilities are:$P(E_1) = 0.7$$P(E_2) = 1 - P(E_1) = 1 - 0.7 = 0.3$$P(A \mid E_1) = 0.8$$P(A \mid E_2) = 0.3$Using the Law of Total Probability:$P(A) = P(E_1) 	imes P(A \mid E_1) + P(E_2) 	imes P(A \mid E_2)$$P(A) = (0.7 	imes 0.8) + (0.3 	imes 0.3)$$P(A) = 0.56 + 0.09 = 0.65$Thus,the probability that the pandemic will be controlled in one month is $0.65$.

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