Question

Given a normal distribution with μ=30 and σ=7, find (a) the normal curve area to the right of x=17; (b) the normal curve area to the left of x=22; (c) the normal curve area between x=35 and x=38; (d) the value of x that has 80% of the normal curve to the left; and (e) the two values of x that contain the middle 65% of the normal curve area.

Answer #1

thank you

Q2. Given a normal distribution with μ = 30 and σ =
6,
find
1- the normal curve area to the right of x = 17 [Hint:
P(X>17)]
2-the normal curve area to the left of x = 22 [Hint:
P(X<22)]
3-the normal curve area between x = 32 and x =
41[Hint: P(32<X<41)];
4-the value of x that has 80% of the normal curve area
to the left [Hint: P(X<k)=0.8];

Find the area to the left of
x
=
28
under a normal distribution curve with
μ
=
35
and
σ
=
5
.
Round your answer to four decimal places.

Consider a normal distribution curve where the middle 35 % of
the area under the curve lies above the interval ( 3 , 11 ). Use
this information to find the mean, μ and the standard deviation, σ
of the distribution.

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...

Find the area under the standard normal distribution curve for
each of the following. (
a.) Between z = 0 and z = -2.34
b.) To the right of z = -2.11
c.) To the left of z = 1.31
d.) To the left of z = - 1.45
e.) To the right of z = - .85

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.)

(A) Find the area under the standard normal curve between -0.34
and 1.59:
(B) Find the area under the standard normal curve between -1.5
and 1
(C) Find the area under the standard normal curve that lies to
the left of 2.24
(d) Find the area under the standard normal curve that lies to
the left of -0.42
(e) Find the area under the standard normal curve that lies to
the right of -2.3
(f) Find the area under the...

A normal distribution has μ = 30 and σ =
5.
(a) Find the z score corresponding to
x = 25.
(b) Find the z score corresponding to
x = 41.
(c) Find the raw score corresponding to
z = −3.
(d) Find the raw score corresponding to
z = 1.5.

2. a) Find the area under the standard normal curve to the right
of z = 1.5.
b) Find the area under the standard normal curve to the left of
z = 1.
c) Find the area under the standard normal curve to the left of
z = -1.25.
d) Find the area under the standard normal curve between z = -1
and z = 2.
e) Find the area under the standard normal curve between z =
-1.5 and...

Consider a normal distribution curve where 65-th
percentile is at 19 and the 30-th percentile is at 10. Use this
information to find the mean, μ , and the standard deviation, σ ,
of the distribution.
a) μ=
b) σ=

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