Probability and Statistics Assignment: Analyzing Random Variables andDistributions1)In a particular suburb, 30% of the households have installed electronic securitysystems.a)If a household is chosen at random from this suburb, what is theprobability thatthis household has not installed an electronic security system?a) Probability that a randomly chosen household has not installed anelectronic security system:We are told that 30% of the households have installed an electronic securitysystem. This means that 70% of the households havenotinstalled an electronicsecurity system.So, the probability that a randomly chosen household has not installed anelectronic security system is:Answer for part a:The probability that a household has not installed anelectronic security system is0.70or 70%.b)If two households are chosen at random from this suburb, what is the probabilitythat neither has installed an electronic security system?b) Probability that neither of two randomly chosen households hasinstalled an electronic security system:The events are independent (i.e., one household’s decision does not affect theother household’s decision). The probability that one household has not installeda security system is 0.70 (from part a).So, the probability that both households have not installed a security system is:Answer for part b:The probability that neither of the two households hasinstalled an electronic security system is0.49or 49%.5)In a study designed to gauge married women’s participation in the workplace today,the data provided in the fileP04_05.xlsxwere obtained from a sample of 750 randomlyselected married women. Consider a woman selected at random from this sample inanswering the followingquestions.Preview Mode
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