Albinism is caused by, a recessive mutation at a single nucleotide site in plant

Question

Albinism is caused by, a recessive mutation at a single nucleotide site in plants diploid plants need to defective copies to be albino. Unlike in many mammals albinism synthesize their food from since The defective allele in the population due to its presence in(which have one copy of the gene and one elective mutant copy). Scientists studied 53 plants of a diploid species and surprisingly discovered 17 heterozygotes. What probability distribution would we use to calculate the probability of a specific number of heterozygote individuals in a sample of 53? Write the formula for the likelihood of p, given the data. What does this likelihood measure? What are your assumptions? Write the formula for log-likelihood of the given data.

Explanation / Answer

Here the distribution of probability of a specific number of heterozygote individuals in a sample of 53 is Normal with mean p and standard deviation is sqrt(p*q)/n.

where q=1-p

Also check the condition that,

np and nq > 10.

phas normal distribution with pdf,

f(p) = 1 / sqrt(pq/n)*sqrt(2*pi) * exp(-1/2(x-p)/sqrt(pq/n))^2

likelihood of the function is,

L = f(p) (i = 1,2,..............n)

L = 1 / sqrt(pq/n)*sqrt(2*pi) ]n * (-1/2*(pq)/n) * exp(x-p)2

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