Given a normal distribution with

=50

and

=4,

and given you select a sample of

n=100,

complete parts (a) through (d).

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Part 1

a. What is the probability that

X

is less than

49?

P(X<49)=

(Type an integer or decimal rounded to four decimal places as needed.)

Part 2

b. What is the probability that

X

is between

49

and

51.5?

P(49

(Type an integer or decimal rounded to four decimal places as needed.)

Part 3

c. What is the probability that

X

is above

50.3?

P(X>50.3)=

(Type an integer or decimal rounded to four decimal places as needed.)

Part 4

d. There is a

40%

chance that

X

is above what value?

X=