Question

The number of facets in the eye of the fruit fly Drosophila melanogaster is of interest...

The number of facets in the eye of the fruit fly Drosophila melanogaster is of interest in genetics to model changes across many generations (ie genetic selection). The distribution of the number of facets in the eye in a certain Drosphila population has been welldocumented over a long period of time. The distribution is moderately positively skewed with a mean of 68 and a standard deviation of 22.

a) Estimate the probability of an individual fruit fly having 80 or more facets in the eye? How sure are you of this answer and why? In one state, a study was done that counted eye facets in 64 fruit fly of this species.

b) Given the population information above, describe the shape, mean and standard deviation of the sampling distribution of for samples of this size?

c) How valid is this calculation in b)? State the concept or theory that is involved in this situation.

d) Sketch this sampling distribution, clearly labelling the horizontal axis.

e) What is the probability that the average number of eye facets is 80 or more for this sample size of 64?

f) On the same sketch in part d) above sketch the distribution that would result for the same population if the sample size was n = 256.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given the distribution of the number of facets in the eye in a certain Drosphila population has been well documented over a long period of time. The distribution is moderately positively skewed with a mean of and a standard deviation of .

a) Assuming normal distribution the probability,

b)The sampling distribution has mean .

The sampling distribution is approximately normal with mean and sd .

c)Central Limit Theorem (CLT) says that the distribution of is approximately normal with mean and sd when is large.

d) The distibution of is plotted below.

e) The probability,

f) For , the distibution of is plotted below.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The common fruit fly, Drosophila melanogaster, is the most studied organism in genetic research because it...
The common fruit fly, Drosophila melanogaster, is the most studied organism in genetic research because it is small, easy to grow, and reproduces rapidly. The length of the thorax (where the wings and legs attach) in a population of male fruit flies is approximately Normal, with mean 0.800 millimeters (mm) and standard deviation 0.078 mm. Approximately 16% of male fruit flies have thorax length shorter than a. 0.878 mm. b. 0.633 mm. c. 0.722 mm. d. 0.644 mm.
The common fruit fly Drosophila melanogaster is the most studied organism in genetic research because it...
The common fruit fly Drosophila melanogaster is the most studied organism in genetic research because it is small, is easy to grow, and reproduces rapidly. The length of the thorax (where the wings and legs attach) in a population of male fruit flies is approximately Normal with mean 0.800 millimeters (mm) and standard deviation 0.078 mm. Use software or Table A. (a) What proportion of flies have thorax length less than 0.55 mm? (Enter your answer as a percentage rounded...
The common fruit fly Drosophila melanogaster is the most studied organism in genetic research because it...
The common fruit fly Drosophila melanogaster is the most studied organism in genetic research because it is small, is easy to grow, and reproduces rapidly. The length of the thorax (where the wings and legs attach) in a population of male fruit flies is approximately Normal with mean 0.800 millimeters (mm) and standard deviation 0.078 mm. Use software or Table A. (a) What proportion of flies have thorax length less than 0.56 mm? (Enter your answer as a percentage rounded...
You are looking at multiple traits in the fruit fly, Drosophila melanogaster, all of which are...
You are looking at multiple traits in the fruit fly, Drosophila melanogaster, all of which are Mendelian traits, each on different chromosomes, and have dominant and recessive expression as follows: Trait Dominant Phenotype Recessive Phenotype Eye color Red eye (R) White eye (r) Antenna Length Long (L) Short (l) Wing shape Normal (N) Curly (n) Body Stripes Black (B) yellow (b) If two parents are heterozygous for Eye color and Wing shape, what fraction of the offspring would be expected...
Background: You perform an artificial selection experiment in the laboratory on the fruit fly Drosophila. You...
Background: You perform an artificial selection experiment in the laboratory on the fruit fly Drosophila. You release 100 flies to start your population into a long tube that has light on one end, and is completely dark on the other end, with food distributed throughout. Most flies hang out in the middle of the tube where it is partially light. Every generation, you pick the eight flies closest to the light end, and the eight flies closest to the dark...
You collect several thousand Drosophila melanogaster individuals from the UCD campus. You take 1000 flies, establish...
You collect several thousand Drosophila melanogaster individuals from the UCD campus. You take 1000 flies, establish a population in the laboratory and maintain it at a size of 1000 each generation. You then establish from the remaining flies a series of replicated populations of size 10, 100, 200, and 500 and maintain each at the starting size (10, 100, 200, 500) for several generations. After some time you sequence each lab population. a. If one plotted for each lab population,...
The local bakery bakes more than a thousand standard loaves of bread daily, and the weights...
The local bakery bakes more than a thousand standard loaves of bread daily, and the weights of these loaves follow a normal distribution. The long term mean weight is 482 grams and the standard deviation of the weights is 18 grams. a) An individual loaf is measured and weighs 478 grams. What is the probability that an individual loaf will weigh less than 478grams. b) What is the sampling distribution of the mean weight of loaves if samples of size...
2) Airline accidents: According to the U.S. National Transportation Safety Board, the number of airline accidents...
2) Airline accidents: According to the U.S. National Transportation Safety Board, the number of airline accidents by year from 1983 to 2006 were 23, 16, 21, 24, 34, 30, 28, 24, 26, 18, 23, 23, 36, 37, 49, 50, 51, 56, 46, 41, 54, 30, 40, and 31. a. For the sample data, compute the mean and its standard error (from the standard deviation), and the median. b. Using R, compute bootstrap estimates of the mean, median and 25% trimmed...
Please summarize the below article in approximately 100 words: Monumental function in British Neolithic burial practices...
Please summarize the below article in approximately 100 words: Monumental function in British Neolithic burial practices Ian Kinnes The high-risk rate of survival for the non-megalithic series of Neolithic funerary monuments, recently re-emphasized by Piggott (1973: 34), introduces a further variable into the deductive study of burial practices. In Britain and Europe the overall distribution of monumental forms present both lacunae and a marked preponderance of cairns over earthen mounds which are in ill accord with the known or predicted...
In February 2012, the Pepsi Next product was launched into the US market. This case study...
In February 2012, the Pepsi Next product was launched into the US market. This case study provides students with an interesting insight into PepsiCo’s new product process and some of the challenging decisions that they faced along the way. Pepsi Next Case Study Introduction Pepsi Next was launched by PepsiCo into the US market in February 2012, and has since been rolled out to various international markets (for instance, it was launched in Australia in September 2012). The new product...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT