AP EAMCET · Maths · Probability
When success is not an impossible event, then the mean of Binomial distribution is
- A always more than its variance
- B always equal to its variance
- C always less than its variance
- D always equal to its standard deviation
Answer & Solution
Correct Answer
(A) always more than its variance
Step-by-step Solution
Detailed explanation
When success is not an impossible event, then \(p \neq 0, q \neq 0\). Mean \(=n p\) and variance \(=n p q\) \[ \begin{aligned} & p, q p q \\ & n p>n p q \end{aligned} \] Mean > Variance \(\therefore\) Mean is greater than variance.
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