Of all the trees planted last year by a landscaping firm, 10% died within a mont

ID: 3182104 • Letter: O

Question

Of all the trees planted last year by a landscaping firm, 10% died within a month. Suppose a new landscaping firm is hired to plant 15 new trees, Let X denote the number of trees planted (out of 15) that died. a. What values of X suggest that the new landscaping company has a lower failure rate? b. What values of X are consistent with the previous landscaping company's failure rate? c. What values of X indicate that the new landscaping company has a higher failure rate than the previous contractor?

Explanation / Answer

a) Clearly, as the previous failure rate is 10%,

10% of 15 is 1.5

Therefore, X=0,1 denotes that the new landscaping company has a lower failure rate.

b) X=1.5 which is not possible, therefore no value of X can be consistent with the given failure rate.

c) X > 1 that is any value of X=2,3,4,5,....15 shows that the new landscaping company has a higher failure rate than the previous contractor.

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Of all the trees planted last year by a landscaping firm, 10% died within a mont

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Of all the trees planted last year by a landscaping firm, 10% died within a mont

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