STATISTICSSuppose that
$$
Y _ { 1 } , Y _ { 2 } , Y _ { 3 } , \text { and } Y _ { 4 }
$$
have a multinomial distribution with n trials and probabilities
$$
p _ { 1 } , \quad p _ { 2 } , \quad p _ { 3 } , \text { and } p _ { 4 }
$$
for the four cells. Just as in the binomial case, any linear combination of
$$
Y _ { 1 } , Y _ { 2 } , Y _ { 3 } , \text { and } Y _ { 4 }
$$
will be approximately normally distributed for large n. Determine the variance of
$$
Y _ { 1 } - Y _ { 2 }
$$
. [Hint:Recall that the random variables
$$
Y _ { i }
$$
are dependent.] 15th EditionDouglas A. Lind, Samuel A. Wathen, William G. Marchal1,236 solutions

4th EditionDaniel S. Yates, Daren S. Starnes, David Moore2,491 solutions

5th EditionDaniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor2,433 solutions

3rd EditionDavid E. Bock, Paul Velleman, Richard D. De Veaux1,294 solutions