In order to find the percentage of the litters that will consist of two wavy- haired and three straight-haired offspring, you need to use the binomial distribution formula: P(x) = ⁿCₓ × pₓ × qⁿ⁻ˣ
P is the probability that the litters will consist of two wavy-haired and three straight-haired offspring.
X is considered to be the number of times the offspring will have wavy-air in a litter of 5 offspring, which is 2.
n is the number of offspring per litter.
p is the probability of happening wavy hair.
q is the probability of having straight hair.
It comes like this:
P(X=2)=⁵C₂×0.5²×0.5⁵⁻² ⇔ P(X=2)=10×0.25×0.125 ⇔ P(X=2)=0.3125
So, the percentage of the litters that will consist of two wavy-haired and three straight-haired offspring is 31.25%.
