The post offi ce is interested in modeling the mangled-letter problem. It has been suggested that any letter sent to a certain area has a 0.15 chance of being mangled. Because the post offi ce is so big, it can be assumed that two letters’ chances of being mangled are independent. A sample of 310 people was selected and two test letters were mailed to each of them. The number of people receiving zero, one, or two mangled letters was 260, 40, and 10, respectively. At the 0.10 level of signifi cance, is it reasonable to conclude that the number of mangled letters received by people follows a binomial distribution with p = 0.15?
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