The speed of a file transfer from a server on campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 62 kilobits per second and a standard deviation of four kilobits per second. (a) What is the probability that the file will transfer at a speed of 73 kilobits per second or more? Round your answer to three decimal places (e.g. 98.765). P = i (b) What is the probability that the file will transfer at a speed of less than 55 kilobits per second? Round your answer to two decimal places (e.g. 98.76). P = i (c) If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file? (Assume eight bits per byte) Round your answer to two decimal places (e.g. 98.76). t= i S

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