Question

The z-scores that bound the middle 44 % under the standard normal curve are z = -a and z = a. Find the value of a.

Answer #1

Solution :

Using standard normal table ,

P(-a Z a) = 0.44

P(Z a) - P(Z -a) = 0.44

2P(Z a) - 1 = 0.44

2P(Z a) = 1 + 0.44 = 1.44

P(Z a) = 1.44 / 2 = 0.72

P(Z 0.58) = 0.72

z = 0.58

z-score = **0.58**

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...

Let Z have the Standard Normal distribution.
(a) Find z so that the area under the density curve and to the
left of z is .4266.
(b) Find z so that the area under the density curve and to the
right of z is .8051.
(c) Find the z–scores of the bounds for the middle 37% of
area.
(d) Find z so that P(Z < z) = .7416.
(e) Find z so that P(−z < Z < z) = .4573....

find the area under the standard normal curve to the right z=
1
find the area under the standard normal curve to the left z=
1.25
find the value z(alfa) z0.04

Using the Standard Normal Table found in your textbook, find the
z-scores such that: (a) The area under the standard normal curve to
its left is 0.5 z = (b) The area under the standard normal curve to
its left is 0.9826 z = (c) The area under the standard normal curve
to its right is 0.1423 z = (d) The area under the standard normal
curve to its right is 0.9394

Find the area under the standard normal curve that lies between
the following two z values. Round your answers to at least four
decimal places.
(a)Find the area under the standard normal curve that lies
between = z − 1.28 and = z 1.36 .
(b)Find the area under the standard normal curve that lies
between = z − 2.17 and = z − 1.92 .
(c)Find the area under the standard normal curve that lies
between = z 1.36...

Find the value of z if the area under a standard normal curve
(a) to the right of z is 0.3974; (b) to the left of z is 0.0918;
(c) between 0 and z, with z > 0, is 0.4783; and (d) between -z
and z, with z > 0, is 0.9412
also i think you need to use the standard normal distribution
table.

Find the value of z if the area under a standard normal curve
(a) to the right of z is 0.3300 (b) to the left of z is .1112, (c)
between 0 and z, with z >0, is ,4803, and (d) between -z and z,
with z > 0, is .9250.

(a)Find the area under the standard normal curve that lies
outside the interval between =z−1.73 and =z1.99.
(b)Find the area under the standard normal curve that lies
outside the interval between =z−1.75 and =z0.99.
(c)Find the area under the standard normal curve that lies
outside the interval between =z0.89 and =z1.41.
(d)Find the area under the standard normal curve that lies
outside the interval between =z−1.80 and =z−1.33.

1)
a) Find the area under the Standard Normal Curve in-between z =
-0.59 and z = 2.86
Use the Normal table and give answer using 4 decimal places.
b) Find the area under the Standard Normal Curve in-between z =
-0.36 and z = 2.63
Use the Normal table and give answer using 4 decimal places.
c) Find P(z < 1.75)
Use the Normal table and give answer using 4 decimal places.

Find the indicated area under the standard normal curve.
To the left of z= -1.09 and to the right of z= 1.09
A) The total area to the left of z= −1.09 and to the right of z=
1.09 under the standard normal curve is:_______? (Round to four
deciamal places as needed).

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