Question

Given a normal distribution with μ=100 and σ=8, and given you select a sample of n equals=16, complete parts (a) through (d).

a. What is the probability that X is less than 95?

P(X<95)

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

b. What is the probability that X is between 95 and 97.5?

P(95<X<97.5)

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

c. What is the probability that X is above 100.2?

P(X>100.2)

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

d. There is a 62% chance that X is above what value?

X=

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

Enter your answer in each of the answer boxes.

Answer #1

Given a normal distribution with
muμequals=105
and
sigmaσequals=20,
and given you select a sample of
n equals 16n=16,
complete parts (a) through (d).Click here to view page 1 of
the cumulative standardized normal distribution table.
LOADING...
Click here to view page 2 of the cumulative standardized normal
distribution table.
LOADING...
a. What is the probability that
Upper X overbarX
is less than
9292?
P(Upper X overbarXless than<9292)equals=. 0047.0047
(Type an integer or decimal rounded to four decimal places as
needed.)...

Given a normal distribution with
μ=50
and
σ=5,
and given you select a sample of
n=100,
complete parts (a) through (d).
a. What is the probability that X is less than 49?
P(X<49)=
b. What is the probability that X is between 49 and 51.5?
P(49<X<51.5)=
c. What is the probability that X is above 50.9?
P(X>50.9)=
d. There is a 30% chance that X is above what value?
X=

Given a normal distribution with μ =100 and σ =8, and given you
select a sample of n=16, complete parts (a) through (d). a. What
is the probability that Upper X overbar is less than 95?

Given a normal distribution with μ=100 and σ=10, complete parts
(a) through (d).
a. What is the probability that X>80?
(Round to four decimal places as needed.)
b. What is the probability that X<95?
(Round to four decimal places as needed.)
c. What is the probability that X<75 or X>110?
(Round to four decimal places as needed.)
d. 80% of the values are between what two X-values
(symmetrically distributed around the mean)?
(Round to two decimal places as needed.)

Given a normal distribution with μ=53 and σ=3.
a. What is the probability that X>49? P(X>49)=_____
(Round to four decimal places as needed.)
b. What is the probability thatX<47?
P(X<47)equals=_____ (Round to four decimal places as
needed.)
c. For this distribution, 7% of the values are less than what
X-value? X=_____ (Round to the nearest integer as needed.)
d. Between what two X-values (symmetrically distributed around
the mean) are 80% of the values? For this distribution, 80% of
the values...

Given a normal distribution with μ= 101 and σ = 20, and given
you select a sample of equals =16
What is the probability that X is above 102.6?
P (X > 102.6) =

Given a normal distribution with μ = 101 and σ = 15,
and given you select a sample of n=9, complete parts (a) through
(d).
What is the probability that Upper X overbar is less than
95?

Given a normal distribution with μ = 103 σ= 25 you select a
sample of n = 25. What is the probability that X overbar is greater
than 104? P(Xoverbar>104) =

Given a normal distribution with muequals103 and sigmaequals25,
and given you select a sample of n equals 25, complete parts (a)
through (d).
d. There is a 63% chance that Upper X overbar is above what
value?

For a normal distribution where μ= 100 and σ= 10, What is the
probability of:
a. P(X>80)
b. P(95<X<105)
c. P(X<50)
d. P(X>100)
e. P(X<90 y X>110)
f. P(X>135)

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