To answer these questions you will need to i. convert these distributions to cumulative distributions, i. determine a D statistic for these cumulative distributions and iii. determine a p- alue based on this D statistic. genotype mass, grams AA АВ
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![. To answer these questions you will need to i. convert these distributions to cumulative
distributions, ii. determine a D statistic for these cumulative distributions and iii. determine a p-
value based on this D statistic.
genotype
mass, grams AA
100
АВ
105
110
115
120
125
130
2
1
1
4
135
7
140
4
145
8
150
155
160
1
165
170
175
180
185
31
Based on the distributions provided (file: BIO2100_quiz2 data), what is the D statistic for the AA
and AB cumulative distributions?
Question 1 options:
0.267
0.111
0.063
0.182
0.276
At what mass does the D statistic between the AA and AB cumulative distributions occur?
Question 2 options:
125 grams
130 grams
135 grams
140 grams
145 grams
Based on the D statistic obtained, what is the p-value for the AA and AB distributions?
Question 3 options:
0.121
0.012
0.242
0.035
0.061
With an alpha of 0.05, what fraction of results would you expect to give you a false positive?
[evidence of significant difference when the distributions actually don't differ significantly]
Question 5 options:
one time out of ten
one time out of five
one time out of one hundred
one time out of twenty
one time out of five hundred
Based on the distributions provided (file: BIO2100_quiz2 data), what is the D statistic for the AA
and AB cumulative distributions?
Question 1 options:
0.267
0.111
0.063
0.182
0.276
At what mass does the D statistic between the AA and AB cumulative distributions occur?
Question 2 options:
125 grams
130 grams
135 grams
140 grams
145 grams
Based on the D statistic obtained, what is the p-value for the AA and AB distributions?
Question 3 options:
0.121
0.012
0.242
0.035
0.061
With an alpha of 0.05, what fraction of results would you expect to give you a false positive?
[evidence of significant difference when the distributions actually don't differ significantly]
Question 5 options:
one time out of ten
one time out of five
o1o03 2 5 8 3 0 2 0 1 ooㅇㅇo2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdac48a7c-98c2-4f78-84b8-98cce02408b4%2Ff0490fab-52ab-49a1-a51d-0ef4fd4c0ee2%2Flc4bfy_processed.png&w=3840&q=75)
![Based on the distributions provided (file: BIO2100_quiz2 data), what is the D statistic for the AA
and AB cumulative distributions?
Question 1 options:
0.267
0.111
0.063
0.182
0.276
At what mass does the D statistic between the AA and AB cumulative distributions occur?
Question 2 options:
125 grams
130 grams
135 grams
140 grams
145 grams
Based on the D statistic obtained, what is the p-value for the AA and AB distributions?
Question 3 options:
0.121
0.012
0.242
0.035
0.061
With an alpha of 0.05, what fraction of results would you expect to give you a false positive?
[evidence of significant difference when the distributions actually don't differ significantly]
Question 5 options:
one time out of ten
one time out of five
one time out of one hundred
one time out of twenty
one time out of five hundred
Based on the distributions provided (file: BIO2100_quiz2 data), what is the D statistic for the AA
and AB cumulative distributions?
Question 1 options:
0.267
0.111
0.063
0.182
0.276
At what mass does the D statistic between the AA and AB cumulative distributions occur?
Question 2 options:
125 grams
130 grams
135 grams
140 grams
145 grams
Based on the D statistic obtained, what is the p-value for the AA and AB distributions?
Question 3 options:
0.121
0.012
0.242
0.035
0.061
With an alpha of 0.05, what fraction of results would you expect to give you a false positive?
[evidence of significant difference when the distributions actually don't differ significantly]
Question 5 options:
one time out of ten
one time out of five
one time out of one hundred
one time out of twenty
one time out of five hundred](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdac48a7c-98c2-4f78-84b8-98cce02408b4%2Ff0490fab-52ab-49a1-a51d-0ef4fd4c0ee2%2F2t5it2j_processed.jpeg&w=3840&q=75)
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