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The post office 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 office 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 significance, is it reasonable to conclude that the number of

mangled letters received by people follows a binomial distribution with p =

0.15?