MHT CET · Maths · Probability
An unbiased die is tossed 500 times. The standard deviation of getting sixes in these 500 tosses is
- A \(\frac{625}{9}\)
- B \(\sqrt{\frac{250}{3}}\)
- C \(\frac{25}{3}\)
- D \(\frac{250}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{25}{3}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{n}=500, \mathrm{P}=\frac{1}{6}, \mathrm{q}=\frac{5}{6}\)
S.D. \(=\sqrt{\mathrm{npq}}=\sqrt{500 \times \frac{1}{6} \times \frac{5}{6}}=\sqrt{\frac{2500}{36}}=\frac{50}{6}=\frac{25}{3}\)
S.D. \(=\sqrt{\mathrm{npq}}=\sqrt{500 \times \frac{1}{6} \times \frac{5}{6}}=\sqrt{\frac{2500}{36}}=\frac{50}{6}=\frac{25}{3}\)
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