Question

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)

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 82.5
and variance 146.00. Compute the following probabilities
P(80 < Y < 108)

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...

Let X represent a binomial random variable with n = 170 and p =
0.6. Find the following probabilities. (Do not round intermediate
calculations. Round your final answers to 4 decimal places.)
Probability
a.P(X ≤ 100)
b.P(X > 110)
c.P(105 ≤ X ≤ 115)
d.P(X = 90)

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...

The relief time provided by a standard dose of a popular
children’s allergy medicine averages six hours with a standard
deviation of two hours. [You may find it useful to reference the z
table.] a. Determine the percentage of children who experience
relief for less than four hours if the relief time follows a normal
distribution. (Round your answer to 2 decimal places.) b. Determine
the percentage of children who experience relief for less than four
hours if the relief...

Let the following sample of 8 observations be drawn from a
normal population with unknown mean and standard deviation: 23, 26,
22, 20, 16, 21, 25, 24. [You may find it useful to
reference the t table.]
a. Calculate the sample mean and the sample
standard deviation. (Round intermediate calculations to at
least 4 decimal places. Round "Sample mean" to 3 decimal places and
"Sample standard deviation" to 2 decimal places.)
b. Construct the 90% confidence interval for
the population...

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