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f) The pair of cats produce in their first litter together the following kittens: 

3 tortoiseshell short fur females, 2 tortoiseshell long fur females, 3 ginger short fur males, and 1 ginger long fur male.

From this information only (no genetic diagrams required), what evidence can you use to deduce the genetic identity of the parent cats?                                                       (4 marks)

 

 

 

g) Having identified the genetic identity of the parent cats, fully proof your answer to show the simultaneous transmission of the two genes involved with this family of cats, with the use of genetic diagrams and summaries as required. (Hint: you are only required to show the simultaneous transmission from the P to F1 generations)     


Produce a key to clearly show the nature of the genetics associated with the colour of cat fur for the gene given, and in each case justify your choice of letters and / or style of presentation to best depict the genetics involved.                                                          (6 marks)

 

 

 

e) A male black short furred cat mates with a ginger short furred female cat – without further information and using the information you have provided in your keys above, what are the possible genotypes of these two cats and why? (Hint: You need to show the genotypes as an expression of both genes together - and you need to explain the logic of how you have arrived at your answer).                                                               


Write a function that takes a positive integer as input and return the leading digit in its decimal representation

 A certain population has a mean of 15.4 and a standard deviation of 5.6. if random samples of size 5 is taken from this population, which of the following statements is true? *

1 point


The standard deviation of the sampling distribution of the sample mean is 5.6.


The mean of the sampling distribution of the sample means is equal to 15.4.


The mean of the sampling distribution of the sample means is less than 15.4.


The standard deviation of the sampling distribution of the sample mean is 15.4.


1. Let X be random variable with values 4,5,6,7,8 and 9




a. Find the mean and the variance of the sample without replacement of n=2.




b. Find a the sampling distribution of the mean and construct it's histogram




2. An electrical firm manufactures light bulbs that have mean life span of 750 hours with a standard deviation of 30 hours. Assume that the mean life span of manufactured light bulbs is almost normal distributed. If a sample of 25 light bulbs are random selected, find the:




a. Probability that their mean life span is less than 740 hours.




b. Probability that their mean life span is greater than 775 hours .




Draw the normal distribution curve for each item.

Which fraction is equal to:

a. a quarter

b. a sixth and

c. two thirds , respectively


As the chapter states, GDP does not include the value of used goods that are resold. Why would including such transactions make GDP a less informative measure of economic well-being?


By using the knowledge of relationships among the various costs of production concepts fill the blank space of the following table. 

Quantity TC TFC TVC ATC AVC MC

0 125

10 5

20 105

30 110

40 255

50 3

60 3


The government purchases component of GDP does not include spending on transfer payments such as Social Security. Thinking about the definition of GDP, explain why transfer payments are excluded.

1. Based from record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of 0.75 lbs. Out of 60 new born babies, find:



a. The probability that the sample mean is less than 4.6 lbs



b.The probability that the sample mean is equal to 5.0 lbs



c. The probability that the sample mean is greater than 5.1 lbs



d. The probability that the sample mean is between 4.5 to 4.9 lbs




2. Scanned imagine occupied an average of 0.6 megabytes of memory with a standard deviation of 0.4 megabytes. If you plan to upload 80 images on your website,what is the probability that their total size is between 47 megabytes and 56 megabytes

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