The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 37 seconds and a standard deviation of 6 seconds.   a) What is the probability that a randomly chosen student completes the activity in less than 29.8 seconds?  b) What is the probability that a randomly chosen student completes the activity in more than 41.2 seconds?  c) What proportion of students take between 33.9 and 39.8 seconds to complete the activity?  d) 70% of all students finish the activity in less than seconds.

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