The initial allele (an alternate form of a gene) proportions in a genetic simulation follow a...
- The initial allele (an alternate form of a gene) proportions in a genetic simulation follow a beta distribution with α=4 and β=3.
- What is the probability that this proportion will exceed 60%?
- Find mean proportion.
- Find the most likely proportion (mode).
- Find the variance.
Homework Answers
a)
P(p > 0.6)
= 0.45568
In R
1-pbeta(0.6,4,3) [1] 0.45568
b)mean = a/(a+b) = 4/(4+3) = 4/7 = 0.5714
c)
mode = (a-1)/(a+b-2) = 3/(4 + 3 - 2) = 3/5 = 0.6
d)
variance = ab/((a+b)^2 (a +b+1))
= 4 * 3 / ( ( 4+3)^2 * (4 + 3 +1))
= 0.03061
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