1) If the mean of a binomial distribution is 25, then its standard deviation lies in the interval A) (0,5) B) (0,5] C) (0,25) D) (0,25] Answer: Option AExplanation:Standard deviation , $\sigma= \sqrt{npq}\geq 0$ Now mean =np= 25 and q <1 So $\sigma$= $\sqrt{npq}$ < $\sqrt{np}=5$ $\therefore$ $0\leq\sigma<5$
