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A TV executive is interested in the popularity of a particular cable TV show. She has been told that a whopping 65% of American households would be interested in tuning in to a new network version of the show. If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show? Assume that the 6 households constitute a random sample of American households.
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The probability that one of the six households being monitored would tune in to the new show is 0.65. The probability that all six households being monitored would tune in to the new show is given by \[\large (0.65)^{6}=you\ can\ calculate\]
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