In a large city, 88% of the cases of car burglar alarms that go off are false.

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In a large city, 88% of the cases of car burglar alarms that go off are false. Let p̂ be the proportion of false alarms in a random sample of 80 cases of car burglar alarms that go off in this city. Calculate the mean and standard deviation of p̂, and describe the shape of its sampling distribution.
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