The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

(a)

3

(b)

15

(c)

5

(d)

225

If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

(a)

3.5

(b)

3

(c)

4.5

(d)

2.5

The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

(a)

\(\frac { q }{ p+q+r } \)

(b)

\(\frac { p }{ p+q+r } \)

(c)

\(\frac { p+q }{ p+q+r } \)

(d)

\(\frac { p+r }{ p+q+r } \)

The probability of getting a job for a person is \(\frac{x}{3}\). If the probability of not getting the job is \(\frac{2}{3}\)  then the value of x is

(a)

2

(b)

1

(c)

3

(d)

1.5

If a letter is chosen at random from the English alphabets {a, b,...,z}, then the probability that the letter chosen precedes x

(a)

\(\frac{12}{13}\)

(b)

\(\frac{1}{13}\)

(c)

\(\frac{23}{26}\)

(d)

\(\frac{3}{26}\)