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
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...
Find the value of the probability of the standard normal random
variable Z corresponding to this area. (Round your answer to four
decimal places.) P(−1.68 < Z < 1.23) =?
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 0.2119.
(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 0.9949.
(e) The area to the right of z is 0.5793.
Suppose Z denotes the standard normal random variable. Compute
the following
a) P (Z > 2)
b) P(-1 < Z < 2.31)
c) P (1.21 < Z < 2.42)
d) P (Z < 1.37)
e) P (Z > -1)
Show working
a) Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−2.02 ≤ z ≤ −0.31) =
Shade the corresponding area under the standard normal
curve.
b) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 50; σ = 15
P(40 ≤ x ≤ 47) =
c) Find z such...
A: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≤ 1.23) =
B: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≥ −1.13) =
C: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−1.87 ≤ z...
Given that z is a standard normal random variable,
find z for each situation. (Draw the graph in a paper with
numbers going from -3 to +3. No need to draw it here for credit.
But do it for your own learning.)
The area to the left of z is 0.025
The area to the right of z is 0.975.
The area to the right of z is 0.025.
The area to the left of z is .6700.
Suppose X...
Given that Z is a standard normal random variable, find z for
each situation using the Norm.S.Inv function in excel.
a. The area to the right of z is .01
b. The area between -z and z is .9030
c. The area between -z and z is .9948
e. The area to the right of z is .025
f. The area to the right of z is .3300