| \[X(={{x}_{i}})\] | \[1\] | \[2\] | \[3\] | \[4\] |
| \[P(X={{x}_{i}})\] | \[k\] | \[2k\] | \[3k\] | \[4k\] |
A) \[3\]
B) \[1\]
C) \[4\]
D) \[2\]
Correct Answer: A
Solution :
Sum of probability distribution is 1. \[\therefore \] \[k+2k+3k+4k=1\] \[\Rightarrow \] \[10k=1\] \[\Rightarrow \] \[k=\frac{1}{10}\] Now, mean \[\bar{x}=k\times 1+2k\times 2+3k\times 3+4k\times 4\] \[=k+4k+9k+16k=30k\] \[=30\times \frac{1}{10}=3\]
You need to login to perform this action.
You will be redirected in
3 sec
