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The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 36.2 seconds and a standard deviation of 5.2 seconds.
a) What is the probability that a randomly chosen student completes the activity in less than 33.9 seconds? Round to 4 decimal places.
b) What is the probability that a randomly chosen student completes the activity in more than 38.7 seconds? Round to 4 decimal places.
c) What proportion of students take between 32.3 and 39.1 seconds to complete the activity? Round to 4 decimal places.
d) 90% of all students finish the activity in less than seconds (round to 1 decimal place).
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