Question

Let X be a random variable which is uniformly chosen from the set of positive odd numbers less than 100. The expectation, E[x], is

• A. 50

Answer 1

The correct option is A 50

1. = 1, 3, 5, 7, ....., 99
   
   $\Rightarrow$ n = 50 (number of observations)
   
   $E\left(x\right)=\frac{1}{n}{\sum }_{i=1}^n{x}_i=\frac{1}{50}[1+3+5+...+99]$
   
   $=\frac{1}{50}(50{)}^2=50$