4.99 Health Canada Testing The maximum patent life for a new drug is, in most cases, 20 years. Sub- tracting the length of time required by Health Canada for testing and approval of the drug provides the actual patent life of the drug-that is, the length of time that a company has to recover research and development costs and make a profit. Suppose the distribution of the lengths of patent life for new drugs is as shown here:

a. Find the expected number of years of patent life for a new drug.

b. Find the standard deviation of X.

c. Find the probability that X falls into the interval 20.

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Years, x 3 4 5 6 7 8 p(x) 0.03 0.05 0.07 0.10 0.14 0.20 Years, x 9 10 11 12 13 p(x) 0.18 0.12 0.07 0.03 0.01