section 5.2 homework\nscore 4/15 answered 4/15\nquestion 5\nfind the indicated probability\ngiven\np(a) =…

section 5.2 homework\nscore 4/15 answered 4/15\nquestion 5\nfind the indicated probability\ngiven\np(a) = 0.25\np(a or b) = 0.65\np(a and b) = 0.2\nfind\np(b) = \nare these events disjoint?\nyes\nno

section 5.2 homework\nscore 4/15 answered 4/15\nquestion 5\nfind the indicated probability\ngiven\np(a) = 0.25\np(a or b) = 0.65\np(a and b) = 0.2\nfind\np(b) = \nare these events disjoint?\nyes\nno

Answer

Explanation:

Step1: Use the formula for the probability of the union of two events

$P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$

Step2: Rearrange the formula to solve for $P(B)$

$P(B)=P(A\ or\ B)-P(A)+P(A\ and\ B)$

Step3: Substitute the given values

$P(B)=0.85 - 0.25+0.2$ $P(B)=0.8$

Answer:

$0.8$