Please show the works thanks 1Consider a population of 100 t

Please show the works ,thanks

1.Consider a population of 100 tigers, which are diploid. In this population mating is random, there are no births, no deaths, and no migration. The T-locus in this population has two alleles (T and t) with frequencies T = 0.60 and t = 0.40. What is the probability of the genotype composed of two T alleles?

2.Consider a guinea pig. There are 3 possible coat colors for this species of guinea pig each with its own probability: Pr(orange) = 0.1, Pr(brown) = 0.5, and Pr(white) = 0.4. What is the probability of a guinea pig of this species being orange or white?

3.You observe one pine tree. If the probability of it not being a foxtail pine is equal to 0.99, what is the probability that this tree is a foxtail pine?

Solution

1.P[genotype composed of two T alleles]=P[ first one is T alleles]*P[2nd one is T alleles]=0.60*0.60=0.36 [answer]

2.P[ guniea pig being orange or white]=P[guniea pig being orange]+P[guniea pig being white]=0.1+0.4=0.5 [answer]

3.P[ tree is a foxtail pine]=1-P[tree is not a foxtail pine]=1-0.99=0.01 [answer]