Question

1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....

1) Suppose you have a normal distribution with known mu = 11 and sigma = 6. N(11,6). Using the 68,95,99.7 rule, what is the approximate probability that a value drawn from this distribution will be:

a. Between 5 and 17?

b. Between -1 and 23?

c. Greater than 16?

d. Less than -1?

e. Less than 23?

2) Suppose you have a normal distribution with known mu = 8 and sigma = 2. N(8,2). Compute the Z---score for:

a. X = 9

b. X = 2

c. X = 5

d. X = 6

e. X = 3

f. X = 4

Please show all work thank you:)

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