In a binomial distribution, the probability of getting success is… - Vidyadip

MCQ

In a binomial distribution, the probability of getting success is $\frac{1}{4}$ and standard deviation is 3. Then, its mean is:

A
6
B
8
C
12
D
10

✓

Answer

12

Solution:

$\text{p}=\frac{1}{4},\sqrt{\text{npq}}=3$

$\Rightarrow\text{q}=\frac{3}{4},\text{npq}=9$

$\Rightarrow\text{Mean = np}=\frac{9}{\text{q}}$

$\Rightarrow\text{Mean}=9\times\frac{4}{3}=12$

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