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In a study by S. Ward, \" Children Reactions to Commercials,\"it was observed th

ID: 2913580 • Letter: I

Question

In a study by S. Ward, " Children Reactions to Commercials,"it was observed that children possess a very low understanding ofcommercials, even for those designed to appeal to them. Given thefollowing table:                                           5 -7                8 -10              11-12 Don'tunderstand                  55%                  40%                  15% Understand                          45%                  60%                  85% A commercial is shown to a 6 year old and a 9 year old: a) Find the probability that the commercial is understood by a6 year old. b) Find the probability that both children understand. c) Find the probability that one or the other or bothunderstand. In a study by S. Ward, " Children Reactions to Commercials,"it was observed that children possess a very low understanding ofcommercials, even for those designed to appeal to them. Given thefollowing table:                                           5 -7                8 -10              11-12 Don'tunderstand                  55%                  40%                  15% Understand                          45%                  60%                  85% A commercial is shown to a 6 year old and a 9 year old: a) Find the probability that the commercial is understood by a6 year old. b) Find the probability that both children understand. c) Find the probability that one or the other or bothunderstand.

Explanation / Answer

a) p(6 year old understand) = 45% b) p(6 year old AND 9 year old) = .45 * .60 p(6 year old AND 9 year old) = .27 p(6 year old AND 9 year old) = 27% c)p(one understands) = 1 - p(none understand) = 1 - .55*.40 p(one understands) = 0.78