Offspring of fruit flies may have red or brown bodies and normal wings or short wings. Genetic theory predicts that these traits will appear in the ratio​ 9:3:3:1 (9 red​, ​normal: 3 red​, ​short: 3 brown​, ​normal: 1 brown​, ​short). A researcher checks 100 such flies and finds the distribution of the traits to be 55​, 20​, 14​, and 11​, respectively.

Compute the​ chi-square statistic. x²=

critical value?

P-value?

Suppose you double the amount of flies to 200 and the distribution of the traits respectively

what would the new chi-square statistic be?

critical value?

P-Value?

Suppose you have a pair of tetrahedra. One is red on one face, yellow on two faces, and green on one face. The other is white and has faces marked 1, 2, 3 ,4

a. Complete the table

b. If both tetrahedra are tossed, what is the probability of a red (facing down) and a 3 (facing down)? Of a yellow (facing down) and a number >1 on the other (facing down?) Of a green (facing down) and a number >4 (facing down) on the other? Of a yellow (facing down) on the colored one and a sum of >2 of faces showing on the other?

Consider an observable with continuous spectra. In contrast with the discrete case, what can you say about the eigenfunctions of this observable, the probability of obtaining a given value after a measurement, and the state of a system after a measurement is performed?

In the current state of the economy and the bullwhip effect of prepping for a health epidemic, many companies are experiencing capacity planning issues.

What capacity issues have you experienced or know about related to this health crisis?

*2-  Describe the role of the communication layer, the network-wide state-management layer, and the network-control application layer in the SDN controller.

*3- Name the four different types of ICMP messages including type and code. What two types of ICMP messages are received at the sending host executing the Traceroute program?

*4- Why are different inter-AS and intra-AS protocols used in the internet? Explain your answer.

2. In 2001, the U.S. Senate voted on the question of whether to allow oil and gas drilling in the Gulf of Mexico. The relationship between party affiliation and vote is shown in the following table:

A. Calculate chi-square for this table. Show your work. Draw a table just like the one above, leaving room in each cell to record these numbers: observed frequency (f0), expected frequency (fe), f0-fe, (f0-fe)2, and (f0-fe)2/fe.

B. Use chi-square to test the null hypothesis that, in the population from which the sample was drawn, there is no relationship between party and vote. Using Table 7-7, find the appropriate critical value (use the .05 level of significance). (i) Write down the critical value. (ii) Should you reject the null hypothesis or not reject the null hypothesis? (iii) Explain your reasoning.

C. Calculate lambda for this table. (i) Show your work. (ii) Write a sentence explaining exactly what the value of lambda means. (iii) State whether the relationship is weak, moderate, moderately strong, or strong.

What role does the EPA site on the Ribosome play during translation? Explain with help of a diagram. Also explain how codons, tRNA & anticodons play a role during translation (2 points)

What is an Inducible operon? Give an example and explain the steps in the functioning of one such operon. You may use a diagram to explain your answer (2 points)

How do patients with thyroid disorders (hyper and hypothyroidism) pair with osteoporosis? Explain in detail the connection between the two disorders. Do they need special considerations in the diagnosis and management of either condition? Are they at a disadvantage compared to an otherwise healthy individual?