Answer: There are 5 red pencils, 16 blue pencils and 23 brown pencils.
Step-by-step explanation:
Since we have given that
Number of red pencils = 5
Number of blue pencils are 11 more than red pencils.
So, Number of blue pencils would be

Number of brown pencils are 7 more than blue pencils.
So, number of brown pencils would be

Hence, there are 5 red pencils, 16 blue pencils and 23 brown pencils.
Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)
ii) Then p=(2/3) as n=8
iii) 0.06828
Step-by-step explanation:
Use binomial distribution:
Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.
Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.
So for 3 out of 8, it means x=3 and n=8.
Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828
By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.