If we have the assumption that the residues at individual positions in a family of DNA sequences are independent and have the identical probabilities, what would be the maximum likelihood estimates (MLE) of the probabilities of having different bases at each residue in this family: P(A), P(G), P(C), and P(T) if we have already known that the following five sequences belong to this family? P(A) = 0.03, P(G)=0.6, P(C) = 0.3, P(T)=0.07
CGGTGCG;
ACGGAGCG;
GCGGTGTTGG;
AACCGGG;
ATCGGTGG
If we have the assumption that the residues at individual positions in a family of DNA...
We consider two DNA sequences with the letters A; G; T; and C. Suppose that the letters on different locations are independent with probability P[A] = P[G] = P[C] = 2 and P[T) = }. The sequences both have infinite length (here we idealized of course..) and the two sequences are independent. When the letters are read by a sequence processor an error is made with probability 10-4. Whenever an error is made, the 'wrong' letters are read with equal...
Return to the original model. We now introduce a Poisson intensity parameter X for every time point and denote the parameter () that gives the canonical exponential family representation as above by θ, . We choose to employ a linear model connecting the time points t with the canonical parameter of the Poisson distribution above, i.e., n other words, we choose a generalized linear model with Poisson distribution and its canonical link function. That also means that conditioned on t,...
Assume that we have three independent observations: where Xi ~ Binomial(n 7,p) for i E { 1.2.3). The value of p E (0, 1) is not known. When we have observations like this from different, independent ran- dom variables, we can find joint probabilities by multiplying together th ndividual probabilities. For example This should remind you the discussion on statistical independence of random variables that can be found in the course book (see page 22) Answer the following questions a...
The big idea behind hypothesis testing is that we have an assumption about reality, and we see if the data fits that assumption. The whole process gets complicated by all the notation and calculations, but essentially we’re deciding if the assumption is possible, or if the data leads us to reject it. 1. Your friend Hamad claims to be exceptional at basketball and can make 90% of free throws. You watch him at the gym for a week and find...
Question 33 2 pts Which of the following statements about the process of DNA replication is true? It involves the enzyme DNA ligase, which corrects point mutations. It utilizes DNA polymerase, which catalyzes the reaction that adds a new nucleotide to the growing strand. The sequence on the new strand is always identical to one of the old parent strands. Adenine pairs with guanine, and cytosine pairs with thymine. Question 34 2 pts The DNA base...
The following diagram represents a replication bubble associated
with DNA synthesis. Based on this diagram, select all of the
options below that are true.
1 | 2 ---- Quadrants 1 and 4 are associated with lagging strand synthesis Quadrants 1 and 4 are associated with leading strand synthesis Quadrants 1 and 2 are associated with lagging strand synthesis Quadrants 3 and 4 are associated with lagging strand synthesis Synthesis of both daughter strands is completely continuous Telomerase activity is needed...
1 Overview and Background Many of the assignments in this course will introduce you to topics in computational biology. You do not need to know anything about biology to do these assignments other than what is contained in the description itself. The objective of each assignment is for you to acquire certain particular skills or knowledge, and the choice of topic is independent of that objective. Sometimes the topics will be related to computational problems in biology, chemistry, or physics,...
Need help with stats true or false questions
Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
Question 2 How did we get the following:
1.F (+4.96) = 1 from the table ?
2. B= p(-4.96<z<-1.04) = B = 0.1492-0 ? How did we get
0.1492 and 0 from the table ?
Note: I am not allowed to use excel . Please explain and show
all steps
IV Standard Normal Distribution Table (Probability Content from -oo to z) The entries in this table give the cumulative area under the standard normal curve to the left ofz with...
Have to show work for every problem
4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...