Question

The following table shows the probability distribution for a discrete random variable.

Answer 1

Answer: C. 30.47

Explanation:

The mean of discrete random variable i.e. the expected value of X is given by :-

`E(X)=\sum^(i=n)_(i=1) X_iP(X_i)`

Now by using the given table, the expected value of X is given by :-

`\\\\\Rightarrow\ E(X)=23\cdot (0.16)+25\cdot(0.09)+26\cdot(0.18)+31\cdot(0.12)+34\cdot(0.24)+38\cdot(0.21)\\\\\Rightarrow\ E(X)=30.47`

Hence, the mean of discrete random variable= 30.47