10. Consider the simplified scenario for genetic determinants of height in humans, where there are three genes (A/B/C) with varying numbers of alleles (3/3/2) affecting height, and with different effects in males and females. (Assume additive contributions, thus the effect of having genotype A1A2 is +0.1” + +0.2” = +0.3”). Average height for men and women is 69” and 64”.
|
Gene |
Allele |
Male(effect |
Female(effect |
|
A |
1 |
+0.1 |
+0.1 |
|
2 |
+0.2 |
+0.2 |
|
|
3 |
41.3 |
41.5 |
|
|
B |
1 |
+0.5 |
+.3 |
|
2 |
40.4 |
40.2 |
|
|
3 |
40.1 |
40.1 |
|
|
C |
1 |
42 |
+1.5 |
|
2 |
+0.1 |
0 |
|
What is the expected height for a male with genotype A2A2B1B3C1C2 (3 points)?
11. Consider a cross between two heterozygotes.
What is the probability that their first offspring has recessive
phenotype? (2 points)
What is the probability that their first offspring has recessive phenotype and the second offspring also has the recessive phenotype? (2 points)
What is the probability that out of their first offspring, one has dominant phenotype and one has recessive phenotype? (2 points)
15. The gene for petal color in a flower has incomplete dominance, so that individuals with two A1 alleles (A1A1) are black, individuals with two A2 alleles (A2A2) are white, and individuals with one of each allele (A1A2) are mottled.
In a cross between two black flowers, what is the probability of getting a mottled offspring? (2 points)
3" 4"
5" 6" 7" 8" 9" 10" 11" 12"
1" 2"
In a cross between a black flower and a mottled flower, what is the probability of getting a black offspring? (2 points)
In a cross between two mottled flowers, if there are two offspring, what is the probability of getting one black offspring and one mottled offspring? (2 points)
In a cross between two mottled flowers, if there are two offspring, what is the probability of getting one white offspring and one mottled offspring? (2 points)
In a cross between two mottled flowers, if there are nine offspring, what is the probability of getting exactly three mottled offspring? (2 points)
16. Two individuals that are heterozygous for a recessive autosomal trait have an offspring with dominant phenotype. What is the probability that that offspring is a carrier (heterozygote?) (3 points)
If that offspring has an offspring with an individual with the recessive condition, what is the chance their offspring has the condition? (2 points)
17. Most randomly occurring mutations that occur in humans do not have an effect on phenotype. Why is this? (4 points)
18. Imagine that coronavirus has a 0.002% incidence in the population. A test for the virus has a 0.001% false positive rate and no false negative rate (false positive rate means the chance that if an uninfected individual takes the test the test will falsely identify them as infected). If a random person takes the test and gets a positive result, what is the chance that they are infected? (Show your work to earn partial credit) (4 points)
Now consider the case in the future, where the incidence of the virus has increased to 1%. Now if a random person takes the test and gets a positive result, what is the chance that they are infected? (2 points)
19. Your colleague is studying long toes in the California vole (Microtus californicus). She proposes that this trait is due to to an X-linked dominant allele.
You go for a hike in Oakland, and notice that very few of the California voles you see have the long toe trait. Does this affect your colleague’s hypothesis? How? Why? (2 points)
You go for a walk in Golden Gate Park, and notice that, among California voles in the Golden Gate population, females are much less likely than males to have the long toe trait. Does this affect your colleague’s hypothesis? How? Why? (2 points)
20. You are a genetic counseler. A mother and father with a son and a daughter come to see you. The mother and the father both have a very rare condition that no one has ever studied, but neither their son or their daugther does. Karyotype analysis shows that the mother and the daugther are XX and the father and the son are XY. You think about it and realize that this pattern cannot be due to a number of simple inheritance patterns. Explain why:
Why can’t it be an autosomal dominant condition? (2 points) Why
can’t it be Y-linked condition? (2 points)
Why can’t it be an X-linked dominant condition? (2 points) Why
can’t it be an X-linked recessive condition? (2 points) Why can’t
it be a mitochondrial condition? (2 points)
In: Biology
(See Creating Square Thumbnails section below)
In: Computer Science
5.32 Fuel efficiency of manual and automatic cars, Part I: Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied.
| City MPG, Automatic | City MPG, Manual | |
|---|---|---|
| Mean | 16.12 | 19.85 |
| SD | 3.58 | 4.51 |
| n | 26 | 26 |
The hypotheses for this test are:
The test statistic is: (please round to two decimal
places)
The p-value is: (please round to four decimal
places)
Interpret the result of the hypothesis test in the context of the
problem:
In: Math
scenario:You have been asked to serve on a committee that
advises the World Bank about how to fund a healthcare system in the
developing world. As part of this role you need to design a
healthcare system for the country described below costing no more
than $500 million that keeps the largest possible number of people
healthy:
This country is about the size of Texas—250,000 square miles. A
mountain range separates the country into two regions.
Ten million people live in the coastal region, while five million
live in the inland region.
Half the people live in urban areas, and the other half are evenly
distributed through the country.
The coastal region has a hot, moist, tropical climate that supports
lush jungles and fertile farmland.
The inland region is dry and cool and is predominantly grassland
and forest.
The coastal region is well serviced by roads, but only about half
the people in the inland region have convenient access to
roads.
Only the largest cities and towns have modern sanitation.
Malnutrition and malaria are problems, few people are vaccinated,
and there is little health care currently available.
Most people grow their own food and have little extra money to
spend. Few children attend school.
Challenge: Think of health care options for this country in terms
of:
1. What are some options which should be included?
2. What are some options which should not be included ?
In: Economics
scenario:You have been asked to serve on a committee that
advises the World Bank about how to fund a healthcare system in the
developing world. As part of this role you need to design a
healthcare system for the country described below costing no more
than $500 million that keeps the largest possible number of people
healthy:
This country is about the size of Texas—250,000 square miles. A
mountain range separates the country into two regions.
Ten million people live in the coastal region, while five million
live in the inland region.
Half the people live in urban areas, and the other half are evenly
distributed through the country.
The coastal region has a hot, moist, tropical climate that supports
lush jungles and fertile farmland.
The inland region is dry and cool and is predominantly grassland
and forest.
The coastal region is well serviced by roads, but only about half
the people in the inland region have convenient access to
roads.
Only the largest cities and towns have modern sanitation.
Malnutrition and malaria are problems, few people are vaccinated,
and there is little health care currently available.
Most people grow their own food and have little extra money to
spend. Few children attend school.
Challenge: Think of health care options for this country in terms
of:
1. What are some options which should be included?
2. What are some options which should not be included ?
In: Economics
scenario:You have been asked to serve on a committee that
advises the World Bank about how to fund a healthcare system in the
developing world. As part of this role you need to design a
healthcare system for the country described below costing no more
than $500 million that keeps the largest possible number of people
healthy:
This country is about the size of Texas—250,000 square miles. A
mountain range separates the country into two regions.
Ten million people live in the coastal region, while five million
live in the inland region.
Half the people live in urban areas, and the other half are evenly
distributed through the country.
The coastal region has a hot, moist, tropical climate that supports
lush jungles and fertile farmland.
The inland region is dry and cool and is predominantly grassland
and forest.
The coastal region is well serviced by roads, but only about half
the people in the inland region have convenient access to
roads.
Only the largest cities and towns have modern sanitation.
Malnutrition and malaria are problems, few people are vaccinated,
and there is little health care currently available.
Most people grow their own food and have little extra money to
spend. Few children attend school.
Challenge: Think of health care options for this country in terms
of:
1. What are some options which should be included?
2. What are some options which should not be included ?
In: Nursing
scenario:You have been asked to serve on a committee that
advises the World Bank about how to fund a healthcare system in the
developing world. As part of this role you need to design a
healthcare system for the country described below costing no more
than $500 million that keeps the largest possible number of people
healthy:
This country is about the size of Texas—250,000 square miles. A
mountain range separates the country into two regions.
Ten million people live in the coastal region, while five million
live in the inland region.
Half the people live in urban areas, and the other half are evenly
distributed through the country.
The coastal region has a hot, moist, tropical climate that supports
lush jungles and fertile farmland.
The inland region is dry and cool and is predominantly grassland
and forest.
The coastal region is well serviced by roads, but only about half
the people in the inland region have convenient access to
roads.
Only the largest cities and towns have modern sanitation.
Malnutrition and malaria are problems, few people are vaccinated,
and there is little health care currently available.
Most people grow their own food and have little extra money to
spend. Few children attend school.
Challenge: Think of health care options for this country in terms
of:
1. What are some options which should be included?
2. What are some options which should not be included ?
In: Nursing
scenario:You have been asked to serve on a committee that
advises the World Bank about how to fund a healthcare system in the
developing world. As part of this role you need to design a
healthcare system for the country described below costing no more
than $500 million that keeps the largest possible number of people
healthy:
This country is about the size of Texas—250,000 square miles. A
mountain range separates the country into two regions.
Ten million people live in the coastal region, while five million
live in the inland region.
Half the people live in urban areas, and the other half are evenly
distributed through the country.
The coastal region has a hot, moist, tropical climate that supports
lush jungles and fertile farmland.
The inland region is dry and cool and is predominantly grassland
and forest.
The coastal region is well serviced by roads, but only about half
the people in the inland region have convenient access to
roads.
Only the largest cities and towns have modern sanitation.
Malnutrition and malaria are problems, few people are vaccinated,
and there is little health care currently available.
Most people grow their own food and have little extra money to
spend. Few children attend school.
Challenge: Think of health care options for this country in terms
of:
1. What are some options which should be included?
2. What are some options which should not be included ?
In: Nursing
"A contributing factor to an airplane's duel consumption is the
bypass ratio of the engine system. The bypass ratio is the amount
of air passing around the engine core relative to the amount of air
passing through the core. An airplane manufacturer is designing a
new airplane and wants to determine the bypass ratio for the
airplane's engine system. The airplane will fly 4,100 hours per
year and will average 480 miles per hour. The amount of fuel that
the airplane consumes can be expressed as:
z = 0.0497 - (7.92*10^-4) * y
for 4 < y < 12
where y is the bypass ratio (a unitless number) and z is the number
of gallons of fuel consumed per mile flown by the airplane. The
cost of fuel remains constant at $4.29 per gallon.
The initial cost of the engine system as a function of the bypass
ratio is $312,000 + $2,800y^2.
The engine system will be used for 9 years. At the end of 9 years,
the salvage value of the engine system as a function of bypass
ratio is $10,000y. The airplane manufacturer wants to minimize the
annual equivalent cost (AEC) of the engine system (which includes
the initial cost, the annual cost of fuel, and the salvage value).
The manufacturer's MARR is 13.9%. What is the optimal bypass ratio
rounded to the nearest tenth that minimizes the AEC of the engine
system?
(The optimal answer for the bypass ratio is between 4 to 12, but it
should not be necessary to consider that constraint in your
calculations.)"
In: Finance
Natalie is also thinking of buying a van that will be used only for business. The cost of the van is estimated at $38,500. Natalie would spend an additional $2,500 to have the van painted. In addition, she wants the back seat of the van removed so that she will have lots of room to transport her mixer inventory as well as her baking supplies. The cost of taking out the back seat and installing shelving units is estimated at $1,500. She expects the van to last her about 5 years, and she expects to drive it for 100,000 miles. The annual cost of vehicle insurance will be $2,400. Natalie estimates that at the end of the 5-year useful life the van will sell for $6,500. Assume that she will buy the van on August 15, 2018, and it will be ready for use on September 1, 2018. Natalie is concerned about the impact of the van’s cost on her income statement and balance sheet. She has come to you for advice on calculating the van’s depreciation. Instructions:
(a) Determine the cost of the van.
(b) Prepare a depreciation table for straight-line depreciation (similar to the one in Illustration 9-9). Recall that Cookie Creations has a December 31 fiscal year-end.
(c) What method should Natalie use for tax purposes? Provide a justification for your choice. Is she required to use the same approach for financial reporting and tax reporting?
In: Accounting