Question
In: Statistics and Probability
Let Y = ex where X is normally distributed with μ = 1.6 and σ =...
Let Y = ex where X is normally distributed with μ = 1.6 and σ = 0.6. Compute the following values. [You may find it useful to reference the z table.]
a. Compute P(Y ≤ 7.2). (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(9.3 < Y < 10.6). (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)
c. Compute the 80th percentile of Y. (Round your intermediate calculations to at least 4 decimal places, “z” value to 3 decimal places, and final answer to the nearest whole number.)
Solutions
orchestra answered 2 years agoRelated Solutions
Let Y = ex where X is normally distributed with μ = 1.2 and σ =...
Let Y = ex where X is
normally distributed with μ = 1.2 and σ = 0.5.
Compute the following values. [You may find it useful to
reference the z table.]
a. Compute P(Y ≤ 9.6).
(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(8.4 < Y <
9.7). (Leave no cells blank - be certain to enter "0"
wherever required. Round your...
Let X be normally distributed with mean μ = 26 and standard deviation σ = 13....
Let X be normally distributed with mean μ = 26 and standard
deviation σ = 13. [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 > 13). (Round "z" value to 2 decimal places and
final answer to 4 decimal places.)
c. Find P(13 ≤ X ≤ 26). (Round "z" value to 2 decimal places and
final...
Let X be normally distributed with mean μ = 146 and standard deviation σ = 34....
Let X be normally distributed with mean μ = 146 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) = 0.330. (Round "z" value and...
Let X be normally distributed with mean μ = 18 and standard deviation σ = 8....
Let X be normally distributed with mean μ = 18
and standard deviation σ = 8. [You may find it
useful to reference the z table.]
a. Find P(X ≤ 2). (Round
"z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(X > 4).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
c. Find P(8 ≤ X ≤ 16).
(Round "z" value to 2 decimal places and final...
Let X be normally distributed with mean μ = 20 and standard deviation σ = 12....
Let X be normally distributed with mean μ = 20 and standard
deviation σ = 12. [You may find it useful to reference the z
table.]
a. Find P(X ≤ 2). (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(5 ≤ X ≤ 20). (Round "z" value to 2 decimal places and
final...
Let X be normally distributed with mean μ = 3,800 and standard deviation σ = 2,000....
Let X be normally distributed with mean μ = 3,800 and standard
deviation σ = 2,000. [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(3,800...
Let X be normally distributed with mean μ = 18 and standard deviation σ = 14....
Let X be normally distributed with mean μ = 18
and standard deviation σ = 14. [You may find it
useful to reference the z table.]
a. Find P(X ≤ 4). (Round
"z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(X > 11).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
c. Find P(4 ≤ X ≤ 18).
(Round "z" value to 2 decimal places and final...
Let X be normally distributed with mean μ = 4.1 and standard deviation σ = 3....
Let X be normally distributed with mean μ =
4.1 and standard deviation σ = 3.
b. Find P(5.5 ≤ X ≤ 7.5).
c. Find x such that P(X
> x) = 0.0485.
Suppose a population of scores x is normally distributed with μ = 16 and σ =...
Suppose a population of scores x is normally distributed with μ
= 16 and σ = 5. Use the standard normal distribution to find the
probability indicated. (Round your answer to four decimal
places.)
Pr(16 ≤ x ≤ 18.6)
Suppose a population of scores x is normally distributed with μ = 16 and σ =...
Suppose a population of scores x is normally
distributed with μ = 16 and σ = 5. Use the
standard normal distribution to find the probability indicated.
(Round your answer to four decimal places.)
Pr(16 ≤ x ≤ 18.3)
You may need to use the table of areas under the standard normal
curve from the appendix.
Also,
Use the table of areas under the standard normal curve to find
the probability that a z-score from the standard normal
distribution will...
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