4.183 If Y has a log-normal dis Ε( The grains composing p distribution. For a type o and o = 4 (in units of 10 a Find the mean and v b Find an interval in Tchebysheff's theore
4.183 If Y has a log-normal dis Ε( The grains composing p distribution. For a type o and o = 4 (in units of 10 a Find the mean and v b Find an interval in Tchebysheff's theore
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![4.183
a
b
2).
b P(Y> 8).
If Y has a log-normal distribution with parameters μ and o², it can be shown that
(eg² - 1).
C
and V (Y) = e²μ+0²
The grains composing polycrystalline metals tend to have weights that follow a log-normal
distribution. For a type of aluminum, gram weights have a log-normal distribution with μ = 3
and o = 4 (in units of 10-2 g).
= e(μ+o²)/2
6
E(Y) =
lie. [Hint: Use
Find the mean and variance of the grain weights.
Find an interval in which at least 75% of the grain weights should
Tchebysheff's theorem.]
Find the probability that a randomly chosen grain weighs less than the mean grain weight.
by](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22752cce-aae9-4c92-9942-5544ae988fbe%2F700c4312-7237-4e73-bed8-a76433cdf0c0%2Fnweqcf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.183
a
b
2).
b P(Y> 8).
If Y has a log-normal distribution with parameters μ and o², it can be shown that
(eg² - 1).
C
and V (Y) = e²μ+0²
The grains composing polycrystalline metals tend to have weights that follow a log-normal
distribution. For a type of aluminum, gram weights have a log-normal distribution with μ = 3
and o = 4 (in units of 10-2 g).
= e(μ+o²)/2
6
E(Y) =
lie. [Hint: Use
Find the mean and variance of the grain weights.
Find an interval in which at least 75% of the grain weights should
Tchebysheff's theorem.]
Find the probability that a randomly chosen grain weighs less than the mean grain weight.
by
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