Question

Answer #1

The percentage of all possible observations of the variable that lie between 6 and 12 equals the area under the its density curve between 6 and 12 expressed as a percentage.

It is **true** for all probability density curves
and total area under the curve is 1.

Because a variable with a density curve the percentage of all possible observations of the variable that lie within any specified range equal to the corresponding area under the curve expressed as a percentage

Assume that the variable under consideration has a density
curve. The area under the density curve that lies between 13 and 17
is 0.412. What percentage of all possible observations of the
variable are either less than 13 or greater than
17?

The area under a particular normal curve between 9 and 11 is
0.7054. A normally distributed variable has the same mean and
standard deviation as the parameters for this normal curve. What
percentage of all possible observations of the variable lie between
9 and 11?

A variable is normally distributed with mean 10 and standard
deviation 2. a. Find the percentage of all possible values of the
variable that lie between 9 and 12. b. Find the percentage of all
possible values of the variable that exceed 5. c. Find the
percentage of all possible values of the variable that are less
than 8.

A variable is normally distributed with mean 11 and standard
deviation 2.
a. Find the percentage of all possible values of the variable
that lie between 8 and 16.
b. Find the percentage of all possible values of the variable
that are at least 6.
c. Find the percentage of all possible values of the variable
that are at most 9.

A variable is normally distributed with mean 11 and standard
deviation 2. a.
Find the percentage of all possible values of the variable that
lie between 8 and 16.
b. Find the percentage of all possible values of the variable
that are at least 6.
c. Find the percentage of all possible values of the variable
that are at most 9.

A variable is normally distributed with mean 13 and standard
deviation 4.
a. Find the percentage of all possible values of the variable
that lie between 8and 17.
b. Find the percentage of all possible values of the variable
that are at least 9 ? %
c. Find the percentage of all possible values of the variable
that are at most 7 ? %.

A variable is normally distributed with mean 68 and standard
deviation 10. Find the percentage of all possible values of the
variable that:
a. Lie between 73 and 80
b. Are atleast 75
c. Are at most 90

Assume the random variable X is normally distributed with mean
mu?equals=5050 and standard deviation sigma?equals=77. Compute the
probability. Be sure to draw a normal curve with the area
corresponding to the probability shaded. ?P(5757less than or
equals?Xless than or equals?6868?) Which of the following normal
curves corresponds to ?P(5757less than or equals?Xless than or
equals?6868?)? A. 575750506868 A normal curve has a horizontal axis
with three labeled coordinates, 50, 57, and 68. The curve's peak is
near the top of...

Determine the area under the standard normal curve that lies
between (a) Upper Z equals negative 0.85 and Upper Z equals 0.85,
(b) Upper Z equals negative 0.99 and Upper Z equals 0, and (c)
Upper Z equals negative 0.57 and Upper Z equals negative 0.46.
(a) Find the area under the normal curve to the left of
z = -3−3
plus the area under the normal curve to the right of
z = 3
The combined are =

A variable is normally distributed with mean 16 and and standard
deviation 2. a. Find the percentage of all possible values of the
variable that lie between 11 and 17. b. exceed 15. c less than
12.

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