The GPAs of all students enrolled at a large university follow a normal distribution with a mean of 3.02 and a standard deviation of 0.29. a) Find the probability that the mean GPA of a random sample of 20 students selected from this university is between 2.95 and 3.11. b) Find the probability that the variance GPA of a random sample of 5 students selected from this university is less than 0.0347.

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The GPAs of all students enrolled at a large university follow a normal distribution
with a mean of 3.02 and a standard deviation of 0.29.
a) Find the probability that the mean GPA of a random sample of 20 students
selected from this university is between 2.95 and 3.11.
b) Find the probability that the variance GPA of a random sample of 5 students
selected from this university is less than 0.0347.
Transcribed Image Text:The GPAs of all students enrolled at a large university follow a normal distribution with a mean of 3.02 and a standard deviation of 0.29. a) Find the probability that the mean GPA of a random sample of 20 students selected from this university is between 2.95 and 3.11. b) Find the probability that the variance GPA of a random sample of 5 students selected from this university is less than 0.0347.
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