Question

Let *Y* = *e ^{x}* where

The 90th percentile of Y ?

Answer #1

Let Y = ex where X is
normally distributed with μ = 3.4 and σ = 0.7.
Compute the following values. [You may find it useful to
reference the z table.]
a. Compute P(Y ≤ 10.4).
(Round your intermediate calculations to at least 4 decimal
places, “z” value to 2 decimal places, and final answer to
4 decimal places.)
b. Compute P(9.1 < Y <
10.3). (Leave no cells blank - be certain to enter "0"
wherever required. Round your...

Let Y = ex where X is
normally distributed with μ = 3.7 and σ = 0.5.
Compute the following values.
a. Compute P(Y ≤ 9.8).
(Round your intermediate calculations to at least 4 decimal
places, “z” value to 2 decimal places, and final answer to
4 decimal places.)
b. Compute P(6.0 < Y <
6.9). (Leave no cells blank - be certain to enter "0"
wherever required. Round your intermediate calculations to at least
4 decimal places, “z” value...

Let X be normally distributed with mean μ =
3,400 and standard deviation σ = 2,200. [You may
find it useful to reference the z
table.]
a. Find x such that P(X
≤ x) = 0.9382. (Round "z" value to 2
decimal places, and final answer to nearest whole
number.)
b. Find x such that P(X
> x) = 0.025. (Round "z" value to 2
decimal places, and final answer to nearest whole
number.)
c. Find x such that P(3,400...

Let X be normally distributed with mean μ =
2,800 and standard deviation σ = 900[You may find
it useful to reference the z table.]
a. Find x such that
P(X ≤ x) = 0.9382. (Round
"z" value to 2 decimal places, and final answer to nearest
whole number.)
b. Find x such that
P(X > x) = 0.025. (Round
"z" value to 2 decimal places, and final answer to nearest
whole number.)
c. Find x such that P(2,800 ≤...

Let X be normally distributed with mean μ =
103 and standard deviation σ = 35. [You may find
it useful to reference the z
table.]
c. Find x such that P(X
≤ x) = 0.360. (Round "z" value and
final answer to 3 decimal places.)
d. Find x such that P(X
> x) = 0.790. (Round "z" value
and final answer to 3 decimal places.)

Let X be normally distributed with mean μ = 12
and standard deviation σ = 6. [You may find it
useful to reference the z table.]
a. Find P(X ≤ 0). (Round
"z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(X > 3).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
c. Find P(6 ≤ X ≤ 12).
(Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 10
and standard deviation σ = 6. [You may find it
useful to reference the z table.]
a. Find P(X ≤ 0). (Round
"z" value to 2 decimal places and final answer to 4
decimal places.)
b. Find P(X > 2).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
c. Find P(4 ≤ X ≤ 10).
(Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 17 and standard
deviation σ = 8. [You may find it useful to reference the z
table.]
a. Find P(X ≤ 1). (Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(X > 5). (Round "z" value to 2 decimal places and
final answer to 4 decimal places.)
c. Find P(7 ≤ X ≤ 15). (Round "z" value to 2 decimal places and
final...

Let X be normally distributed with mean μ =
102 and standard deviation σ = 34. [You may find
it useful to reference the z
table.]
a. Find P(X ≤ 100).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(95 ≤ X ≤ 110).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
c. Find x such that P(X
≤ x) = 0.360. (Round "z" value and...

Let X be normally distributed with mean μ =
126 and standard deviation σ = 22. [You may find
it useful to reference the z
table.]
a. Find P(X ≤ 100).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(95 ≤ X ≤ 110).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
c. Find x such that P(X
≤ x) = 0.410. (Round "z" value and...

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