Answer
a)131,477.5
b)253,584.5
c)Minimum:-375691.5
Maximum:638646.5
d)They are unusually high.
Work Step by Step
a)There are 26 possibilites all with the same probability, hence the expected value is:$\frac{0.1}{26}+\frac{1}{26}+\frac{5}{26}+...+\frac{1,000,000}{26}=131,477.5.$
b)Standard deviation=$\sqrt{\frac{\sum (x-\mu)^2}{n}}=\sqrt{\frac{(0.1-131,477.5)^2+(1-131,477.5)^2+...+(1,000,000-131,477.5)^2}{26}}=253,584.5$
c) $Minimum \ usual \ value=mean-2\cdot(standard \ deviation)=131,477.5-2\cdot253,584.5=-375691.5$
$Maximum \ usual \ value=mean+2\cdot(standard \ deviation)=131,477.5+2\cdot253,584.5=638646.5$.
d)Both of the values are more than 638646.5, hence they are both unusually high.
