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
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For the Z distribution, find the following. Use z-table and
check with Excel. Sketch, etc.
(a) the 28th percentile
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Let z be a random variable with a standard normal distribution.
Find P(0 ≤ z ≤ 0.46), and shade the corresponding area under the
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P(−2.02 ≤ z ≤ −0.31) =
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b) Assume that x has a normal distribution with the
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P(z ≤ 1.23) =
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four decimal places.)
P(z ≥ −1.13) =
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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 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
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Find the following z values for the standard normal
variable Z. (You may find it
useful to reference the
z table. Negative values should be
indicated by a minus sign. Round your answers to 3 decimal
places.)
a.
P(Z ≤ z) = 0.1002
b.
P(z ≤ Z ≤ 0) = 0.121
c.
P(Z > z ) = 0.8204
d.
P(0.36 ≤ Z ≤ z) =
0.3458
explain