X~N (105, 16)

Compare the given form with general form,

So,

X~N (105, 16) Compare to X~N (µ, σ2 )

After comparing we get,

µ=105

σ=4

We have to find the interval from X=97 to X=105.

When X=97 then

Z= (97-105)/4

Z=-2

When X=105 then Z will be 0 because this is mean.

So we have to find interval between Z=-2 to Z=0

P (between Z=-2 to Z=0)=0.4772 required answer