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Basic calculations based on the Central Limit theorem: Determine the appropriate µX and σX given the...

Basic calculations based on the Central Limit theorem: Determine the appropriate µX and σX given the population mean is 1020, σ is 153, and with a normal x-distribution, if Basic calculations based on the Central Limit theorem: Determine the appropriate µX and σX given the population mean is 1020, σ is 153, and with a normal x-distribution, if

a) n=16

b) n=50

c) n=1000

8) Determine the following probabilities given a normal x-distribution(convert to z first):

(a) µ is 8, σ is 17 with n = 64. Find P(X>9).

(b) µ is 20, σ is 3 with an n = 36. Find P(X<19).

(c) µ is 32, σ is 0.3 with an n = 20. Find P(31.8<X<31.9).

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