The moment generating function (mgf) of y is given by

Since the momoent generating function of x is given by

When p tends to 0, we have

Applying L'Hopital's rule we have:

This shows that y converges to <span>a chi squared random variable with 2r degrees of freedom</span>.
To answer this question you must make a come factor between the 2 fractions I believe the easiest way to do this is multiply the denominator or bottom number by the other one so 4*5 and 5*4 and what you do to the denominator you must do to the numerator so you would have to do 4*4 and 4*5 for the first fraction to get 16/20 and repeat on the other side 1*5 and 4*5 or 5/20 so the to fractions are 16/20+5/20 then add just the numerators 16+5=21 or 21/20 and simplify to 1/20
1st week - Lost 3 pounds = +3
2nd week - Gained 1 pound = -1
3+13 = + 22
So 22+3 = 25 25-1 = 24
So Tina lost 24 pounds in 13 weeks.