A call center recruites operators on a 2 week probationary period before hiring a select group as permanent employees. The average time spent per call by the operators is known to follow a normal distribution with a mean of 39 minutes and a standard deviation of 8 minutes. Operators with average call durations between 33 minutes and 42 minutes during the probationary period get hired in permanent positions; and the rest are fired. a. What is the probability that a randomly selected operator will get fired after the probationary period? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 70 percentile value for the call duration Answer in exact fraction, or rounded to at least 2 decimal places. minutes c. The operators who place within the top 10.62% of the accepted call duration range are awarded a special bonus package. So, what is the minimum average call duration you should try to achieve if you want to receive the bonus package? Answer in exact fraction, or rounded to at least 2 decimal places. minutes

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