Find the following probability for the standard normal random
variable z. a. P(zequals3) e. P(minus3less than or equalszless
than or equals3) b. P(zless than or equals3) f. P(minus1less
than or equalszless than or equals1) c. P(zless than3) g.
P(negative 2.66less than or equalszless than or equals0.06) d.
P(zgreater than3) h. P(negative 0.75less thanzless
than1.09)
Find the following probabilities for the standard normal random
variable z z :
a) P(−2.07≤z≤1.93)= P ( − 2.07 ≤ z ≤ 1.93 ) =
(b) P(−0.46≤z≤1.73)= P ( − 0.46 ≤ z ≤ 1.73 ) =
(c) P(z≤1.44)= P ( z ≤ 1.44 ) =
(d) P(z>−1.57)= P ( z > − 1.57 ) =
Let z be a random variable with a standard normal
distribution.
Find “a” such that P(|Z| <A)= 0.95
This is what I have:
P(-A<Z<A) = 0.95
-A = -1.96
How do I use the symmetric property of normal distribution to make
A = 1.96?
My answer at the moment is P(|z|< (-1.96) = 0.95
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) =?
Let z be a random variable with a standard normal distribution.
Find P(0 ≤ z ≤ 0.46), and shade the corresponding area under the
standard normal curve. (Use 4 decimal places.)
1. If Z is a standard normal random variable, find
c such that P(−c ≤ Z ≤
c) = 0.82. [Answer to 2 decimal places]
2. Weakly earnings on a certain import venture are approximately
normally distributed with a known mean of $353 and unknown standard
deviation. If the proportion of earnings over $386 is 25%, find the
standard deviation. Answer only up to two digits after decimal.
3. X is a normal random variable with mean μ and
standard...
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...
(1 point) Find the following probabilities for the standard
normal random variable ?z:
(a) ?(−0.84≤?≤0.2)=
(b) ?(−2.16≤?≤1.12)=
(c) ?(?≤0.31)=
(d) ?(?>−0.95)=
Z is a standard normal random variable, then k is ...
a. P(Z < k) = 0.92
b. P(Z > k) = 0.72
c. P(Z ≤ k) = 0.26
d. (A-Grade) P(−1 < Z < k) = 0.60
e. (A-Grade) P(k < Z < 1.7) = 0.57
f. (A-Grade) P(Z = k) = 0.00