Gene A has two alleles, A1 and A2. Gene B has two alleles, B1 and B2....

Gene A has two alleles, A1 and A2. Gene B has two alleles, B1 and B2. In a population, the following haplotypes are observed. A1B1 = 0.2, A2B2 = 0.45, A1B2 = 0.15, and A2B1 = 0.2. Calculate the extent of linkage disequilibrium, D.

Expert Solution

gladiator answered 2 years ago

1. Three pairs of genes with two alleles each (A1 and A2, B1 and B2, and...

1. Three pairs of genes with two alleles each (A1 and A2, B1 and B2, and C1 and C2) influence lifespan in a human population. The alleles of these genes have an additive relationship and add the number of years indicated to the lifespan of the individual. allele years A1 15 A2 4 B1 16 B2 8 C1 13 C2 9 a. If lifespan were entirely genetically determined, what is the minimum possible lifespan and the associated genotype? b. If...

| | a1 | a2 | |----|------|------| | b1 | 0.37 | 0.16 | | b2...

| | a1 | a2 | |----|------|------| | b1 | 0.37 | 0.16 | | b2 | 0.23 | ? | 1. What is ?(?=?2,?=?2)P(A=a2,B=b2)? 2. Observing events from this probability distribution, what is the probability of seeing (a1, b1) then (a2, b2)? 3. Calculate the marginal probability distribution, ?(?)P(A). 4. Calculate the marginal probability distribution, ?(?)P(B).

What is Corr[A1, A2] where A1 equals B1 minus B2, and A2 equals B2 minus B3and...

What is Corr[A1, A2] where A1 equals B1 minus B2, and A2 equals B2 minus B3and we are given that Bi ∼ Ber(p) for all i in {1,2}?

Let f: X→Y be a map with A1, A2⊂X and B1,B2⊂Y (A) Prove f(A1∪A2)=f(A1)∪f(A2). (B) Prove...

Let f: X→Y be a map with A1, A2⊂X and B1,B2⊂Y (A) Prove f(A1∪A2)=f(A1)∪f(A2). (B) Prove f(A1∩A2)⊂f(A1)∩f(A2). Give an example in which equality fails. (C) Prove f−1(B1∪B2)=f−1(B1)∪f−1(B2), where f−1(B)={x∈X: f(x)∈B}. (D) Prove f−1(B1∩B2)=f−1(B1)∩f−1(B2). (E) Prove f−1(Y∖B1)=X∖f−1(B1). (Abstract Algebra)

Prove: If a1 = b1 mod n and a2 = b2 mod n then (1) a1...

Prove: If a1 = b1 mod n and a2 = b2 mod n then (1) a1 + a2 = b1 + b2 mod n, (2) a1 − a2 = b1 − b2 mod n, and (3) a1a2 = b1b2 mod n.

a. The Log likelihood function is ?(?) = (a1 + a2) log(?) − ?(b1 + b2) write...

a. The Log likelihood function is ?(?) = (a1 + a2) log(?) − ?(b1 + b2) write this as a function of θ, by substituting in θ = log(λ). b. Write down the likelihood equation for θ, using the log-likelihood in part a, and hence determine θ^ the MLE for θ. c. Show that θˆlog = (λ^). Show this algebraically, what property of MLEs is this? d. Differentiate the LHS of the likelihood equation, obtain the expected information ?(?) = ?{??(?,...

For a sex-linked gene at which there are two alleles, A1 and A2, in a population...

For a sex-linked gene at which there are two alleles, A1 and A2, in a population and for which the frequency of A1 is 0.9 in females and 0.3 in males, what will be the frequency of the A1 allele in the male offspring (sons) after one generation of random mating?

V=[(a b), a,b E R+] with (a1 b1)+(a2 b2)=(a1a2 b1b2)and for c E R, c(a b)=(a^c...

V=[(a b), a,b E R+] with (a1 b1)+(a2 b2)=(a1a2 b1b2)and for c E R, c(a b)=(a^c b^c) is a vector space over R. Define T:R^2 to V by T[a b]= (e^a e^b). prove T is a linear transformation from R2 to V.

Suppose f is a degree n polynomial where f(a1) = b1, f(a2) = b2, · ·...

Suppose f is a degree n polynomial where f(a1) = b1, f(a2) = b2, · · · f(an+1) = bn+1 where a1, a2, · · · an+1 are n + 1 distinct values. We will define a new polynomial g(x) = b1(x − a2)(x − a3)· · ·(x − an+1) / (a1 − a2)(a1 − a3)· · ·(a1 − an+1) + b2(x − a1)(x − a3)(x − a4)· · ·(x − an+1) / (a2 − a1)(a2 − a3)(a2 − a4)·...

In Python iOverlap (a1, a2, b1, b2) Write the function iOverlap that tests whether 2 closed...

In Python iOverlap (a1, a2, b1, b2) Write the function iOverlap that tests whether 2 closed intervals overlap. It takes 4 numbers (ints or floats) a1, a2, b1, b2 that describe the two closed intervals [a1,a2] and [b1,b2] of the real number line, and returns True if these two closed intervals overlap (even if at only one point) and False otherwise. If a1>a2, then the interval [a1,a2] is empty. If b1>b2, then the interval [b1,b2] is empty. Both intervals are...

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