Question

Suppose that ( A ) and ( B ) are independent events such that ( P(ar{A})=0.40 ) and ( P(B)=0.50 ). Find ( P(A cap B) ) and ( P(A cup B) ). (If necessary, consult a list of formulas.) (a) ( P(A cap B)= ) (b) ( P(A cup B)= )

          Suppose that ( A ) and ( B ) are independent events such that ( P(ar{A})=0.40 ) and ( P(B)=0.50 ).
Find ( P(A cap B) ) and ( P(A cup B) ). (If necessary, consult a list of formulas.)
(a) ( P(A cap B)= )
(b) ( P(A cup B)= )
        
Suppose that ( A ) and ( B ) are independent events such that ( P(arA)=0.40 ) and ( P(B)=0.50 ).
Find ( P(A cap B) ) and ( P(A cup B) ). (If necessary, consult a list of formulas.)
(a) ( P(A cap B)= )
(b) ( P(A cup B)= )

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Transcript

-
00:01 In this question we have to find the value of probability such that we are here having the information that probability of a bar is equals to here 0 .40 and we must know that it means probability of not a.
00:14 So, it can be here written as 1 minus probability of a.
00:19 So, if we rearrange this very equation then the value of probability of a is here going to come around 0 .60 and we are having the value of probability of b here as it will be 0 .50 and hence we can say that probability of a and here it is intersection b.
00:41 So, it will be equals to probability of a multiplied with probability of b.
00:46 So, this very equation is valid only if the events a and b are independent...
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