Given a normal distribution with

=54

and

=4,

complete parts (a) through (d).Click here to view page 1 of the cumulative standardized normal distribution table.

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Click here to view page 2 of the cumulative standardized normal distribution table.

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Question content area bottom

Part 1

a.

What is the probability that

X>49?

P(X>49)=enter your response here

(Round to four decimal places as needed.)

Part 2

b.

What is the probability that

X<46?

P(X<46)=enter your response here

(Round to four decimal places as needed.)

Part 3

c.

For this distribution,

6%

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.)