anonymous
  • anonymous
What is the probability that the person thinks that "Made in America" ad boosts sales but does not use social media? 44% thinks adds boost sales, 78% use online media, 85% thinks boost sales or use social media online.
Probability
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
kirbykirby
  • kirbykirby
Method 1: Algebraically Say \(S\) = think ads boost sales \(M\) = use online media You are given: \(P(S)=0.44\\ P(M)=0.78 \\ P(S \cup M) = 0.85\) You are interested in: \(P(S \cap \overline{M})\) Notice that:\[P(S)=P(S\cap M)+P(S \cap \overline{M})\\\implies P(S \cap \overline{M})=P(S) - P(S \cap M) \] and \[ P(S \cup M) = P(S) + P(M) - P(S \cap M)\\ \implies P(S \cap M)=P(S) + P(M) - P(S \cup M) =0.44+0.78-0.85=0.37\] Back to the above equation, we can now solve for it: \[ P(S\cap \overline{M})=0.44-0.37=0.07 :)\] --------------- Method 2: Venn diagram |dw:1408192137497:dw| If you set the intersection to be \(x\), then the region that is just (S and not M) is \(0.44 - x\), and the region that is just (M and not S) is \(0.78 - x\). Since we know that P(S or M) = \(P(S \cup M)\) in the problem is 0.85, then \[ (0.44-x)+x+(0.78 - x) = 0.85 \\ \implies x = 0.37\] Now, since the region of interest was (S and not M) = \(S \cap \overline{M}\) which was \(0.44 -x\), then this is \(0.44 - 0.37 =0.07 :) \)

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