Let z be a random variable with a standard normal distribution.
Find P(0 ≤ z ≤...
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.)
Solutions
Expert Solution
Above table is for area under
probability i use to calculate probability
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
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.
a.) Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Enter your answer to
four decimal places.) P(−2.20 ≤ z ≤ 1.01) =
b.) Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.) P(−1.76 ≤ z ≤ −1.17) =
c.) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to...
Let z be a standard normal random variable with a mean of 0 and
a standard devi- ation of 1. Find the following probabilities:
(a) P(−0.5<z<0.5) (b) P(−.5<z<1.5)
(c) P(−1.5<z<−.75) (d) P(2<z<3)
Let z be a random variable with a standard normal distribution.
Find the indicated probability. (Round your answer to four decimal
places.) P(−0.84 ≤ z ≤ 0) =
Shade the corresponding area under the standard normal
curve.
Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≥ −1.12) =
Shade the corresponding area under the standard normal curve.
1. Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−2.13 ≤ z ≤ −0.35) =
2. 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 = 14.6; σ = 3.9
P(10 ≤ x ≤ 26) =
3. A person's blood glucose level and diabetes are closely
related. Let x...
QUESTION 1
If Z is a standard normal random variable, then P(Z > 0)
=
0
1
0.4579
0.5
1 points
QUESTION 2
Company A claims that 20% of people in Sydney prefer its product
(Brand A). Company B disputes the 20% but has no idea whether a
higher or lower proportion is appropriate. Company B
randomly samples 400 people and 88 of them prefer Company A's
product (Brand A).
Assuming a 5% significance level, which one of the following...
Let z denote a random variable having a normal
distribution with ? = 0 and ? = 1. Determine each
of the probabilities below. (Round all answers to four decimal
places.)
(a) P(z < 0.3) =
(b) P(z < -0.3) =
(c) P(0.40 < z < 0.85) =
(d) P(-0.85 < z < -0.40)
=
(e) P(-0.40 < z < 0.85) =
(f) P(z > -1.26) =
(g) P(z < -1.5 or z > 2.50) =