Question 1152709
greater than 55, z=(x bar-mean)/sigma/sqrt(n)
so z>(3/14/sqrt(37))= 3sqrt(37)/14=1.30
that probability is 0.0968

less than 48 would be z< -4/14/sqrt(37)=-4 sqrt(37)/14=-1.74

That probability is 0.0409

Between 48 and 55 is everything else or 1-0.1377=0.8623