A population of wild-flowers was scored for flower color. There were 342 blue (BB) plants, 1622 violet (BR) plants and 797 red (RR) plants. Please round your answer correctly to 4 decimal digits.

Since the homozygous have 2 alleles and heterozygous have one of each. The allelic frequency of blue will be calculated as;

Step 1 Freq B

Freq B = 2×no of Blue+ No of purple/2× total number of plants        

No of blue plants(BB)=342

No of violet plants(BR)=1622

No of red plants(RR)=797

Frequency of allele B= 2×342+1622/5522      

Frequency of allele B=0.4176

2. Freq red

Since allelic freq should add up to 1. freq for Red will be

1-0.4176=0.5824

also using the same formula used for Blue gives the same answer.

3.Expected number for Blue, Red and Violet

a)Expected frequency=p2=0.4176² =0.1744

Expected Blue plants= 2761*0.1744=481.5184

b)Expected frequency=q2=0.5824²=0.3392

Expected Red plants=2761*0.3392=936.5312

c)Expected frequency=2pq = 2*0.4176*0.5824 = 0.4864

Expected plants=2761*0.4864= 1342.9504

when it's short and dry.