Question
In: Statistics and Probability
Given that is a standard normal random variable, compute the following probabilities. Round your answers to...
Given that is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places.
a.) P(-1.54 ≤ z ≤ 0)
b.) P(z > 0.32)
c.) P(z ≤ -0.63)
Solutions
orchestra answered 1 year agoRelated Solutions
Find the following probabilities for a standard normal random variable Z. Note: Round your answers to...
Find the following probabilities for a standard normal random
variable Z.
Note: Round your answers to four decimal places.
A) P(Z < -1.47)
B) P(Z > 2.20)
C) P(Z > -1.17)
D) P(Z < 1.30)
Compute the following probabilities using your calculator. Assume Z is a standard normal random variable. Round...
Compute the following probabilities using your calculator.
Assume Z is a standard normal random variable. Round all answers to
three decimal places.
A. P(0<Z<1.85)P(0<Z<1.85)=
B. P(−1.15<Z<0.3)=
C. P(Z>−1.3))=
D. P(0<Z<2.35)=
E. P(−1.85<Z<0.7)=
F. P(Z>−1.2)=
Suppose the random variable xx is best described by a normal
distribution with μ=29μ=29 and σ=3.4σ=3.4. Find the zz-score that
corresponds to each of the following xx values.
Round answers to three decimal places
(a) x=16.2
z=
(b) x=33.4
z=
(c) x=17.2
z=
(d) x=38.6
z=
Find the following probabilities...
Given that z is a standard normal random variable, compute the following probabilities. P(z ≤ -0.71)...
Given that z is a standard normal random variable, compute the
following probabilities.
P(z ≤ -0.71)
P(z ≤ 1.82)
P(z ≥ -0.71)
P(z ≥ 1.22)
P( –1.71 ≤ z ≤ 2.88)
P( 0.56 ≤ z ≤ 1.07)
P( –1.65 ≤ z ≤ –1.65)
Given that z is a standard normal random variable, find z, for
each situation.
The area to the left of z is 0.9608
The area to the right of z is .0102
The area between o and...
Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)
Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)
(a)
The area to the left of z is 0.1841.
(b)
The area between −z and z is 0.9398.
(c)
The area between −z and z is 0.2052.
(d)
The area to the left of z is 0.9948.
(e)
The area to the right of z is 0.6915.
Calculate the following probabilities using the standard normal distribution. (Round your answers to four decimal places.)...
Calculate the following probabilities using the standard normal
distribution. (Round your answers to four decimal places.) (a)
P(0.0 ≤ Z ≤ 1.8) (b) P(−0.1 ≤ Z ≤ 0.0) (c) P(0.0 ≤ Z ≤ 1.46) (d)
P(0.3 ≤ Z ≤ 1.58) (e) P(−2.02 ≤ Z ≤ −1.72) (f) P(−0.02 ≤ Z ≤ 3.51)
(g) P(Z ≥ 2.10) (h) P(Z ≤ 1.63) (i) P(Z ≥ 6) (j) P(Z ≥ −9)
Given that z is a standard normal random variable, find z for each situation. (Round your...
Given that z is a standard normal random variable, find
z for each situation. (Round your answers to two decimal
places.)
(a)
The area to the left of z is 0.1841.
(b)
The area between −z and z is 0.9534.
(c)
The area between −z and z is 0.2206.
(d)
The area to the left of z is 0.9948.
(e)
The area to the right of z is 0.6915.
Given that z is a standard normal random variable, find z for each situation. (Round your...
Given that z is a standard normal random variable, find
z for each situation. (Round your answers to two decimal
places.)
A.The area to the right of z is 0.08.
B.The area to the right of z is 0.025.
C.The area to the right of z is 0.05.
D.The area to the right of z is 0.10.
3. A) Given that z is a standard normal random variable, compute the probability that it...
3. A) Given that z is a standard normal random variable, compute
the probability that it takes on a value between -2 and -1.
3. B). Given that z is a standard normal random variable, find
the z-score for a situation where the area to the right of z is
0.0901.
Given that z is a standard normal random variable, compute the probability that it takes on...
Given that z is a standard normal random variable, compute the
probability that it takes on a value between -2 and -1.
If Z is a standard normal random variable, find the value z0 for the following probabilities....
If Z is a standard normal random variable, find the
value z0 for the following probabilities. (Round your
answers to two decimal places.)
(a) P(Z > z0) = 0.5
z0 =
(b) P(Z < z0) = 0.9279
z0 =
(c) P(−z0 < Z < z0) = 0.90
z0 =
(d) P(−z0 < Z < z0) = 0.99
z0 =
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