Limit theorem in the context of the current problem

Reference no: EM132460725

1. It is known that the population of students who take THIS CLASS have a final grade that is normally distributed with µx = 81 and δx^2 = 25

a. For one observation (student) from this population, find (X<80)

Now suppose that a random sample of students is selected from this population. Note that the next two questions are X#about, not about X itself.

b. In a random sample of size n = 64, find Pr(X#<80)

c. In a random sample of size n = 36, find Pr(78<X#<84)

d. Explain the central limit theorem in the context of the current problem, and indicate whether it was needed to find these probabilities in a, b, and c (might differ for each of a, b, and c).

Reference no: EM132460725

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