Question 1150361
given:

 a group of {{{1300}}} newborn babies 

{{{mu = 5.1 }}}

{{{delta = 2}}}
 
1. How many would you expect to weigh between {{{3}}} and {{{9}}} pounds?

{{{z(x=3) = (3-5.1)/2= -1.05}}}

{{{z(x=7) =  (7-5.1)/2= 0.95}}}

{{{P(-1.05 < z < 0.95)}}}  ≈ {{{0.682085}}}

{{{0.682085*1300=887}}} ‬babies
 


2. How many would you expect to weigh less than {{{7}}} pounds?

{{{z(x=7) = 0.95}}}

{{{P(z < 0.95)}}} ≈{{{0.828944}}}

{{{0.828944*1300 = 1078}}} babies


3. How many would you expect to weigh more than {{{6}}} pounds?

{{{z(x=6) = 0.45}}}

{{{P(z > 0.45)}}} ≈ {{{0.326355}}}

{{{0.326355*1300=424}}} babies

4. How many would you expect to weigh between {{{5.1}}} and {{{10}}} pounds?

{{{z(x=5.1) = 0}}}

{{{z(x=10) = 2.45}}}

{{{P(0 < z < 2.45)}}}  ≈{{{0.492857}}}

{{{0.492857*1300 = 641 }}} babies