Answer
a. $\mu=np=100, \sigma^2=npq=90, \sigma=9.5$
b. $\mu=np=125, \sigma^2=npq=93.75, \sigma=9.7$
c. $\mu=np=20, \sigma^2=npq=12, \sigma=3.5$
d. $\mu=np=6, \sigma^2=npq=5, \sigma=2.2$
Work Step by Step
a. $n=1000, p=0.1, q=0.9, np=100, nq=900$
$\mu=np=100, \sigma^2=npq=90, \sigma=9.5$
b. $n=500, p=0.25, q=0.75, np=125, nq=375$
$\mu=np=125, \sigma^2=npq=93.75, \sigma=9.7$
c. $n=50, p=0.4, q=0.6, np=20, nq=30$
$\mu=np=20, \sigma^2=npq=12, \sigma=3.5$
d. $n=36, p=1/6, q=5/6, np=6, nq=30$
$\mu=np=6, \sigma^2=npq=5, \sigma=2.2$
