Answer:
Explanation:
The missing diagram in the question is attached in the image below.
(A)
From the image below, the frequency of occurrence is shown in the last column.
The frequency of occurrence means the particular band for the entire whole population.
As an example:
1 in 15 frequency of occurrence means; ⇒ One (1) out of every fifteen (15) people has the band.
1 in 450 frequency of occurrence means; ⇒ One (1) out of every 450 people has the band.
(B)
However, Let the probability that Joe and Sam are twins be = A
and the probability that they are not twins be denoted with B;
Then;
P(B) = 1 - P(A)
where;
P(A) = Probability of specific bands appearing on the gel in every one of them
[tex]P(A) =\Big( \dfrac{1}{15}\times \dfrac{1}{15}\Big)\times \Big( \dfrac{1}{450}\times \dfrac{1}{450}\Big)\times \Big( \dfrac{1}{32}\times \dfrac{1}{32}\Big)\times \Big( \dfrac{1}{70}\times \dfrac{1}{70}\Big)[/tex]
[tex]P(A) =\Big( \dfrac{1}{225}\Big)\times \Big( \dfrac{1}{202500}\Big)\times \Big( \dfrac{1}{1024}\Big)\times \Big( \dfrac{1}{4900}\Big)[/tex]
P(A) = 4.37 × 10⁻¹⁵
∴
P(B) = 1 - P(A)
P(B) = 1 - 4.37 × 10⁻¹⁵
P(B) ≅ 1