Question

6. Suppose *z* is a standard normal variable. Find the
value of *z* in the following.

a. |
The area between 0 and |

b. |
The area to the right of |

c. |
The area to the left of |

d. |
The area between – |

e. |
The area to the left of – |

f. |
The area to the right of – |

Answer #1

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.

Given that z is a standard normal random variable, find z for
each situation (to 2 decimals)
a. the area to the left of z is 0.9732
b. the area between 0 and z is 0.4732
c. the area to the left of z is 0.8643
d. the area to the right of z is 0.1251
e. the are to the left of z is 0.6915
f. the are to the right of z is 0.3085

Given that z is a standard normal random variable,
find for each situation (to 2 decimals).
a. The area to the left of z is .9772.
b. The area between 0 and z is .4772 ( z is
positive).
c. The area to the left of z is .8729.
d. The area to the right of z is .1170.
e. The area to the left of z is .6915.
f. The area to the right of z is .3085

Given that z is a standard normal random variable, find z for
each situation (to 2 decimals).
A. The area to the left of z is 0.209.
B. The area between -z and z is 0.905.
C. The area between -z and z is 0.2052.
D. The area to the left of z is 0.9951.
E. The area to the right of z is 0.695.

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.

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...

For the standard normal random variable z, find
z for each situation. If required, round your answers to
two decimal places. For those boxes in which you must enter
subtractive or negative numbers use a minus sign. (Example:
-300)'
a. The area to the left of z is 0.1827. z
=
b. The area between −z and z is 0.9830.
z =
c. The area between −z and z is 0.2148.
z =
d. The area to the left of...

Find the value of the standard normal random variable z, called
z0, for each situation. Your answer should be correct to within
0.01 (as discussed in class).
(a) Area to the left is 0.63 z0=
(b) Area to the left is 0.71 z0=
(c) Area to the right is 0.49 z0=
(d) Area to the right is 0.18 z0=

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

z is a standard normal random variable. The P(-1.96 z
-1.4) equals
a.
0.4192
b.
0.0558
c.
0.8942
d.
0.475
Suppose f(x) = 1/4 over the range a ≤
x ≤ b, and suppose P(X > 4)
= 1/2. What are the values for a and b?
a.
Cannot answer with the information given.
b.
0 and 4
c.
2 and 6
d.
Can be any range of x values whose length (b −
a) equals 4.
The standard deviation...

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