Question
In: Statistics and Probability
2. Distributions a. For the standard normal probability distribution, what percent of the curve lies to...
2. Distributions
a. For the standard normal probability distribution, what percent
of the curve lies to the left of the mean?
b. Describe a normal distribution and a standard normal
distribution.
c. You recently took a standardized test in which scores follow a
normal distribution with a mean of 14 and a standard deviation of
5. You were told that your score is at the 75th percentile of this
distribution. What is your score?
d. The random variable X is normally distributed with a mean of 14
and a standard deviation of 5. What is the probability that a value
of X chosen at random will be between 7.5 and 18.5?
Solutions
orchestra answered 1 year agoRelated Solutions
Given a standard normal distribution, find the area under the curve that lies (a) to the...
Given a standard normal distribution, find the area under the
curve that lies (a) to the right of z=1.25; (b) to the left of z=
-0.4; (c) to the left of z= 0.8; (d) between z=0.4 and z=1.3; (e)
between z= -0.3 and z= 0.9; and (f) outside z= -1.5 to z= 1.5.
(a) Given a standard normal distribution, find the area under the curve that lies between z...
(a) Given a standard normal distribution, find the area under
the curve that lies between
z = −0.48 and z = 1.74.
(b) Find the value of z if the area under a standard normal
curve between 0 and z, with
z > 0, is 0.4838.
(c) Given a normal distribution with μ = 30 and σ = 6, find the
two values of x that
contains the middle 75% of the normal curve area.
Given a standard normal distribution, find the area under the curve which lies (i) to the...
Given a standard normal distribution, find the area under the
curve which
lies
(i) to the left of z = 1.43;
(ii) to the right of z = -0.89;
(iii) between z = -2.16 and z = -0.65.
Given a standard normal distribution, find the value of k such
that
(i) P(Z < k) = 0.0427
(ii) P(Z > k) = 0.2946
(iii) P(-0.93 < Z < k) = 0.7235
using the unit normal table, find the proportion under the standard normal curve that lies to...
using the unit normal table, find the proportion under the
standard normal curve that lies to the right of the following
values (round answers to four decimal places):
z= -1.35
z= -2.70
using the same table find the proportion under the standard
normal curve that lies between the following values (round your
answers to four decimal spaces)
the mean and z= 1.96
the mean and z=0
z= -1.40 and z=1.40
z= -.90 and z= -.70
z=1.00 and z= 2.00
Using the unit normal table, find the proportion under the standard normal curve that lies to...
Using the unit normal table, find the proportion under the
standard normal curve that lies to the right of the following
values. (Round your answers to four decimal places.)
(a) z = 2.00
(b) z = −1.75
(c) z = −2.20
(d) z = 0
(e) z = 1.96
Using the unit normal table, find the proportion under the standard normal curve that lies to...
Using the unit normal table, find the proportion under the
standard normal curve that lies to the right of the following
values. (Round your answers to four decimal places.)
(b) z = −1.05
(c) z = −2.40
Find z such that 85% of the standard normal curve lies to the left of z....
Find z such that 85% of the standard normal curve lies
to the left of z. (Round your answer to two decimal
places.)
z =
Determine the area under the standard normal curve that lies to the left of (a) Upper...
Determine the area under the standard normal curve that lies to
the left of (a) Upper Z equals 0.53 comma (b) Upper Z equals
0.24, (c) Upper Z equals 1.08, and (d) Upper Z equals negative
1.39. (a) The area to the left of Zequals0.53 is
Determine the area under the standard normal curve that lies to the left of (a) Upper...
Determine the area under the standard normal curve
that lies to the left of (a)
Upper Z equals 0.08 commaZ=0.08,
(b)
Upper Z equals 0.51Z=0.51,
(c)
Upper Z equals negative 1.15Z=−1.15,
and (d)
Upper Z equals 0.56Z=0.56.
(a) The area to the left of
Zequals=0.080.08
is
nothing.
(Round to four decimal places as needed
Find z such that 5.4% of the standard normal curve lies to the right of z....
Find z such that 5.4% of the standard normal curve lies
to the right of z. (Round your answer to two decimal
places.)
z =
Find the z value such that 83% of the standard normal
curve lies between −z and z. (Round your answer
to two decimal places.)
z =
Thickness measurements of ancient prehistoric Native American
pot shards discovered in a Hopi village are approximately normally
distributed, with a mean of 5.1 millimeters (mm) and a standard
deviation...
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