MHT CET · Maths · Statistics
A die is thrown 100 times, then the standard deviation of getting an even number is
- A 10
- B 5
- C 20
- D 15
Answer & Solution
Correct Answer
(B) 5
Step-by-step Solution
Detailed explanation
Let \(x\) denote the number of succeses in 100 Then \(x\) follows binomial distribution with \(n=1008\) \(p=y_{2}, q=\frac{1}{2}\)
\(\therefore\) variance of \(x=n p q=100 \times \frac{1}{2} \times \frac{1}{2}=25\)
\(\begin{array}{l}\text { Standard } \\ \text { Deviation }\end{array}=\sqrt{\text { vatiance }}=\sqrt{25}\)
\(=5\)
\(\therefore\) variance of \(x=n p q=100 \times \frac{1}{2} \times \frac{1}{2}=25\)
\(\begin{array}{l}\text { Standard } \\ \text { Deviation }\end{array}=\sqrt{\text { vatiance }}=\sqrt{25}\)
\(=5\)
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