The Brac University MNS department is looking for data entry operators for a research project. The typing speed of data entry operators is known to follow a normal distribution with a mean of 90 words/minute and a standard deviation of 5 words/minute. The MNS department is particularly looking for operators with typing speeds between 87 words/minute and 92 words/minute; as that has proven to be most efficient with minimum risk of errors. a. What is the probability that a randomly selected operator will not satisfy the typing speed requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 95 percentile value for the typing speed of the operators. Answer in exact fraction, or rounded to at least 2 decimal places. words/minute c. The most highly-paid data entry operators fall among the top 5.25 % of the accepted typing speed bracket. So, what is the minimum speed you should try to achieve if you want to be among the top paid operators? Answer in exact fraction, or rounded to at least 2 decimal places. words/minute

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