Question

Let *Y* have the lognormal distribution with mean 82.5
and variance 146.00. Compute the following probabilities.
**(You may find it useful to reference the** z
table**.** **Round your intermediate
calculations to at least 4 decimal places, “z” value to 2 decimal
places, and final answers to 4 decimal places.)**

p(Y>208)

P(80<Y< 108)

Answer #1

Let Y have the lognormal distribution with mean 68.8
and variance 168.50. Compute the following probabilities.
(You may find it useful to reference the z
table. Round your intermediate
calculations to at least 4 decimal places, “z” value to 2 decimal
places, and final answers to 4 decimal places.)
a.
P(Y > 95)
b.
P(60 < Y < 95)

Let Y have the lognormal distribution with mean 78.1 and
variance 167.80. Compute the following probabilities. (You may find
it useful to reference the z table. Round your intermediate
calculations to at least 4 decimal places, “z” value to 2 decimal
places, and final answers to 4 decimal places.)
a. P(Y > 105)
b. P(74 < Y < 105)

Let Y have the lognormal distribution with mean 67.5
and variance 143.30. Compute the following probabilities.
(You may find it useful to reference the z
table. Round your intermediate
calculations to at least 4 decimal places, “z” value to 2 decimal
places, and final answers to 4 decimal places.)
a.P(Y > 78)
b.P(62 < Y < 78)

Let Y have the lognormal distribution with mean 82.5
and variance 146.00. Compute the following probabilities
P(80 < Y < 108)

Let Y have the lognormal distribution with mean 83.6 and
variance 169.70. Compute the following probabilities.
a. P(Y > 96)
b. P(77 < Y < 96)

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 = 1.9 and σ = 0.9.
Compute the following values. [You may find it useful to
reference the z table.]
c. Compute the 90th 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.)
The 90th percentile of Y ?

The Bahamas is a tropical paradise made up of 700 islands
sprinkled over 100,000 square miles of the Atlantic Ocean.
According to the figures released by the government of the Bahamas,
the mean household income in the Bahamas is $37,803 and the median
income is $33,550. A demographer decides to use the lognormal
random variable to model this nonsymmetric income distribution. Let
Y represent household income, where for a normally
distributed X, Y = eX. In
addition, suppose the standard...

It is well documented that a typical washing machine can last
anywhere between 5 to 20 years. Let the life of a washing machine
be represented by a lognormal variable, Y = eX where X is normally
distributed. In addition, let the mean and standard deviation of
the life of a washing machine be 15 and half years and 6 years,
respectively. [You may find it useful to reference the z table.] a.
Compute the mean and the standard deviation...

Exercise 6-73 Algo
It is well documented that a typical washing machine can last
anywhere between 5 to 20 years. Let the life of a washing machine
be represented by a lognormal variable, Y =
eX where X is normally distributed. In
addition, let the mean and standard deviation of the life of a
washing machine be 8 and half years and 6 years, respectively.
[You may find it useful to reference the z
table.]
a. Compute the mean and...

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