Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 1 1 2 4 0 1 3 2 05 3 3 1 3 2 4 70 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 4 1 3 5 0 2 3 2 10 6 4 2 1 6 0 3 3 3 7 1 2 3 A USE SALT (a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to four decimal places.) Nonconforming Frequency Relative Frequency 0.116 1 13 0.216 12 0.200 14 0.233 4 0.116 5 2 0.033 6. 2 0.033 7 2 0.033 8 1 0.016 (b) What proportion of batches in the sample have at most four nonconforming transducers? (Round your answer to four decimal places.) 0.833 What proportion have fewer than four? (Round your answer to four decimal places.) 0.767 What proportion have at least four nonconforming units? (Round your answer to four decimal places.) 0.117

Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 39 14 Subject Is Not a Drug User 2 36 Pre-Employment Drug Screening Results The probability of a false positive test result is (Round to three decimal places as needed.)

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