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For the following questions answer them individually
If the arithmetic mean of $$x_{1}, x_{2},.... x_{n}$$ is 51 , then the arithmetic mean of $$7x_{1}- 21, 7x_{2}- 21, 7x_{3}-21....7x_{n}- 21$$ is
If the median of some numbers is 16.8 and their arithmetic mean is 18.4, then their mode is
The arithmetic mean of the 10 numbers is 6, but it was later observed that one of the numbers was misread as 9. After correcting the wrong entry, if their mean was 7, then actual value of that wrong entry is
If a problem in probability is given to 3 students 'P', 'Q' and 'R' whose chances of solving it are $$\frac{1}{3},\frac{3}{4}$$ and $$\frac{1}{2}$$ respectively, then the probability that the problem will be solved is
The probability that a student 'A' succeeds in a test is 0.85 and the probability that 'B' succeeds in the same test is 0.75. Then the probability that exactly one of them succeeds in that test is
'A' and 'B' are two sets such that n(A) = 4 and n(B) = 2. If a relation from A to B is selected at random, then the probability that their relation is not a function is
