Probability Question 293
Question: If the random variable X takes the values $ x_1,x_2,x_3…x_{10} $ with probabilities $ P(X=x_{i})=ki, $ then the value of k is equal to
Options:
A) $ \frac{1}{10} $
B) $ \frac{1}{15} $
C) $ \frac{1}{55} $
D) 10
Show Answer
Answer:
Correct Answer: C
Solution:
$ \sum\limits_{i=1}^{10}{p(X=x_{i})}=1 $
$ \Rightarrow k(1+2+..+10)=1 $
$ \Rightarrow k\frac{10\times 11}{2}=1\Rightarrow k=\frac{1}{55} $
BETA
