Question

20. The area under the normal curve between Z = -1and Z = -2 is
________________ the area under the normal curve between Z =1 and Z
= 2.

A. Less than

B. Greater than

C. Equal to

D. A, B or C above dependent on the value of the mean

E. A, B or C above dependent on the value of the standard
deviation

Answer #1

Answer : Option C) Equal to

A normal curve is symmetrical in nature. That is the area to the left of the mean exactly equals the area to the right of the mean of the normal curve. That is skewness of the normal curve is zero. So area between any two points to the left of the mean equals the area between any two points to the right of the mean. [Note : Herein mean is equal to zero]

Thus : Area under the normal curve between Z = - 1 and Z = - 2 is equal to the area under the normal curve between Z = 1 and Z = 2.

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 a continuous random variable x, the area
under the probability distribution curve between any two x-values
is always _____.
Greater than 1 B) less than
zero C) equal to 1 D) in the
range zero to 1, inclusive
_________For a continuous random variable x, the total
area under the probability distribution curve of x is always
______?
Less
than1 B)
greater than
1
C) equal to
1
D) 0.5
___________ The probability that a continuous random
variable x...

1- Find the area under the standard normal curve between z=0.76
and z=1.90.
Round your answer to four decimal places.
2- Find the area under the standard normal curve between z=-2.49
and z=-0.44.
Round your answer to four decimal places.
3- Find the area under the standard normal curve between z=-2.26
and z=1.88.
Round your answer to four decimal places.
4- Find the area under the standard normal curve to the right of
z=2.37.
Round your answer to four decimal...

When considering area under the standard normal curve, decide
whether the area between z=-1.5 and z= -1 is bigger than, smaller
than, or equal to the area between z=2 and z= 2.5

1. If random variable X follows a Normal probability
distribution, a negative Z score means
(a) The value of X is negative
(b) The value of X is less than the mean
(c) The value of X is greater than the mean
(d) the correlation between X and Z is negative
(e) none of the above.
2. Which of the following statements is not true about the
Normal Curve
(a) The total area under the Normal Curve is 1.
(b)...

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...

(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.

2. a. What is the area under the normal curve between z = -1.0
and z = -2.0? b. The standard normal probability distribution is
unique because it has ________.

A) What proportion of the area under a normal curve is to the
left of z = -0.44?
B) What proportion of the area under a normal curve is to the
left of z = 0.63?
C) April 10, 2017, was an unseasonably warm day with a
temperature of 82 degrees (Fahrenheit). The mean temperature for
April 13th over the last 50 years is 72 with a standard deviation
of 4.
1. What is the z-score for the temperature on...

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.

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