Given a normal distribution with

=51

and

=5,

complete parts (a) through (d).

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Part 1

a.

What is the probability that

X>42?

P(X>42)=enter your response here

(Round to four decimal places as needed.)

Part 2

b.

What is the probability that

X<41?

P(X<41)=enter your response here

(Round to four decimal places as needed.)

Part 3

c.

For this distribution,

5%

of the values are less than what X-value?

X=enter your response here

(Round to the nearest integer as needed.)

Part 4

d.

Between what two X-values (symmetrically distributed around the mean) are

60%

of the values?

For this distribution,

60%

of the values are between

X=enter your response here

and

X=enter your response here.

(Round to the nearest integer as needed.