**Please show the work/ explain the steps so I understand how to do this** Taran

Question

**Please show the work/ explain the steps so I understand how to do this**

Tarantino’s Tundra Mosquitoes are a species of blood sucking mosquitoes that mainly feed on humans and polar bears in northern Saskatchewan, Canada. A rare recessive mutant yields gigantic 6-inch wingspan mosquitoes when homozygous (mm). All homozygous MM and heterozygous Mm mosquitoes are normal sized. The mm’s are massive. A recent survey collected 800 normal sized mosquitoes and 200 of the massive-sized ones. How many of the normal-sized mosquitoes are expected to be heterozygous if this population is in Hardy Weinberg Equilibrium?

Explanation / Answer

Tarantino’s Tundra Mosquitoes are a species of blood sucking mosquitoes that mainly feed on humans and polar bears in northern Saskatchewan, Canada. A rare recessive mutant yields gigantic 6-inch wingspan mosquitoes when homozygous (mm). All homozygous MM and heterozygous Mm mosquitoes are normal sized. The mm’s are massive. A recent survey collected 800 normal sized mosquitoes and 200 of the massive-sized ones. How many of the normal-sized mosquitoes are expected to be heterozygous if this population is in Hardy Weinberg Equilibrium?

All homozygous MM and heterozygous Mm mosquitoes are normal sized.

The mm’s are massive.

A recent survey collected 800 normal sized mosquitoes--------MM. & Mm

and 200 of the massive-sized ones.-------mm

p2+2pq+q2=1

q2=200/1000=.2

q=square root of .2=0.44

p+q=1

p=1-q=1-0.44=0.56

expected number

2pq= 2 x0.56 x 0.44 x1000=492.8= 493-------------heterozygous-normal-sized mosquitoes are

p2== 0.56 x 0.56 x1000=313.6=314------------homozygous normal -normal-sized mosquitoes are

q2=0.44 x0.44=193.6=193----------homozygous (mm),

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