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g100num [7]
3 years ago
5

Suppose the mean income of firms in the industry for a year is 75 million dollars with a standard deviation of 17 million dollar

s. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 110 million dollars? Round your answer to four decimal places.
Business
1 answer:
Readme [11.4K]3 years ago
4 0

Answer and Explanation:

Given:

μ = 75 million

SD = 17 million

Probability (x) raw data = 110 million

Computation:

= Probability (x) < 110 million

= Probability [(x-μ) / SD] < [(110 - 75) / 17]

[(x-μ) / SD] = Z

= Probability [z] < [(35) / 17]

= Probability [z] < [2.05882353]

Using z calculator:

P-value from Z-Table:  

Z score = 0.98024

Therefore, probability is 0.98024

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Answer:

6.05 years

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7 0
3 years ago
Suppose the production function in medieval Europe is Y 5 K 0.5L0.5, where K is the amount of land and L is the amount of labor.
Sonbull [250]

Answer:

a) Y = 500

b) Wages: 2.5

   Rental price: 2.5

   

c) labor Share of output: 0.370511713 = 37.05%

Explanation:

Y = 4K^{0.5} \times L^{0.5}

if K = 100 and L = 100

Y = 5(100)^{0.5} \times (100)^{0.5}

Y = 50 \times 10

Y = 500

wages: marginal product of labor = value of an extra unit of labor

dY/dL (slope of the income function considering K constant while L variable)

ax^b = bax^{b-1}

Y = 5K^{0.5} \times L^{0.5}

Y' = 5K^{0.5} \times 0.5 L^{-0.5}

Y' = 2.5K^{0.5} \times L^{-0.5}

Y' = 2.5(\frac{K}{L})^{0.5}

With K = 100 and L = 100

Y' = 2.5(\frac{(100)}{(100)})^{0.5}

Y' = 2.5

rental: marginal product of land = value of an extra unit of land

dY/dK (slope of the income function considering K variable while L constant)

Y = 5K^{0.5} \times L^{0.5}

Y' = 2.5K^{-0.5} \times L^{0.5}

Y' = 2.5(\frac{L}{K})^{0.5}

L = 100 K = 100

Y' = 2.5(\frac{100}{100})^{0.5}

Y' = 2.5

c) we use logarithmic properties:

Y = 50 \times 10

log500 = log(50 \times 10)

log500 = log50 + log10

50 was the land while 10 the labor

2.698970004 = 1.698970004 + 1

share of output to labor: 1/2.698970004  = 0.370511713

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3 years ago
Uplift, weathering, burial, and heating/melting can transform one rock type into another. B. All rocks in the Earth's crust will
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Answer:

b. All rocks in the Earth's crust will, at some point, be subducted and melted to create igneous rock.

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There are 3 types of rock:

1. Igneous, wich are formed when 2 tectonic plates collide and magma goes to surface getting cold

2. Sedimentary: when many layers of  preexistent rocks produce pressure and heat by weigth  melting the rocks.

3. Metamorphic: a new rock is formed by chemical and/or physical reaction over preexistent rocks

Sedimentary and metamorphic  would be subducted in order to produce new igneus rocks.

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