For the following questions answer them individually
If the standard deviation of 7, 10, 13, 16, ...., 121 is $$\sigma$$, then the standard deviation of 50, 71, 92, 113, ...., 848 is
If 7 coins are tossed at random, then the probability that even number of heads appear is
If two fair dice are thrown at random, then the probability that the sum of the digits on their faces is a prime number is
The probability that A can solve a problem is $$\frac{7}{12}$$ and for B it is $$\frac{9}{17}$$. If both If both of them try independently, then the probability that the problem is solved is
If the letters of the word WISDOM are permuted at random, then the probability that the vowels do not cometogether is
If a number is chosen at random from the first 58 natural numbers, then the probability that the number chosen is a prime number is