Given a normal distribution with

mu

equals

=

50

50 and

sigma

equals

=

4

4, and given you select a sample of

n equals 100

n=100, complete parts (a) through (d).

Question content area bottomPart 1

a.What is the probability that

Upper X overbar

X is less than

49

49?

P(

Upper X overbar

X

less than

<

49

49)

equals

=

. 0062

.0062

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

Part 2

b.What is the probability that

Upper X overbar

X is between

49

49 and

49.5

49.5?

P(

49

49

less than

<

Upper X overbar

X

less than

<

49.5

49.5)

equals

=

0.0976

0.0976

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

Part 3

c.What is the probability that

Upper X overbar

X is above

50.5

50.5?

P(

Upper X overbar

X

greater than

>

50.5

50.5)

equals

=

0.1056

0.1056

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

Part 4

d.There is a

30

30% chance that

Upper X overbar

X is above what value?

Upper X overbar

X

equals

=

enter your response here

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

Just need help with part d