\(\frac{2}{27}\)
\(\frac{3}{27}\)
\(\frac{4}{27}\)
\(\frac{5}{3}\)
Correct answer is C
Pass(P) = \(\frac{2}{3}\), Fail(F) = \(\frac{1}{3}\)
T = P.P.F ==> \(\frac{2}{3} \times \frac{2}{3} \times \frac{1}{3}\) = \(\frac{4}{27}\)
In how many ways can the letters of the word TOTALITY be arranged?
6720
6270
6207
6027
Correct answer is A
\(\frac{8!}{3!}\)
\(\frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2\times 1}\)
==> 8 x 7 x 6 x 5 x 4 = 6720
3630
3360
1120
560
Correct answer is D
\(\frac{n + 1 (n - 2)}{(n + 1)!}\)
\(\frac{(n + 1) + (n - 2)!(n - 2)!}{(n + 1)!}\)
\(\frac{(n + 1)(n + 1 -1)(n+1-2)(n+1-3)!}{3!(n-2)!}\)
\(\frac{(n + 1)(n)(n-1)(n-2)!}{3!(n-2)!}\)
\(\frac{(n + 1)(n)(n-1)}{3!}\)
Since n = 15
\(\frac{(15 + 1)(15)(15-1)}{3!}\)
\(\frac{16 \times 15 \times 14}{3 \times 2 \times 1}\)
= 560
Find the standard deviation of 2,3,8,10 and 12
3.9
4.9
5.9
6.9
Correct answer is A
\(\begin{array}{c|c} x & (x - \varkappa) & (x - \varkappa)^2 \\ \hline 2 & -5 & 25 \\ \hline 3 & -4 & 16 \\ \hline 8 & 1 & 1 \\ \hline 10 & 3 & 9 \\ \hline 12 & 5 & 25 \\ \hline & & 76
\end{array}\)
S.D = \(\sqrt{\frac{(x - \varkappa)^2}{n}}\)
S.D = \(\sqrt{\frac{76}{5}}\)
S.D = 3.9
Find the range of 4,9,6,3,2,8,10 and 11
11
9
8
4
Correct answer is B
Range = Highest Number - Lowest Number
Range = 11 - 2 = 9