IfF(x) is the probability distribution function, then \(F\left( -\infty \right) \) is _____________

(a)

1

(b)

2

(c)

\(\infty \)

(d)

0

If \(f(x)={ Cx }^{ 2 }={ cx }^{ 2 },0 is the p.d.f, of x then c is _____________

(a)

\(\frac { 1 }{ 3 } \)

(b)

\(\frac { 4 }{ 3 } \)

(c)

\(\frac { 8 }{ 3 } \)

(d)

\(\frac { 3 }{ 8 } \)

In eight throws of a die, 1 or 3 is considered a success. Then the mean number of success is _____________

(a)

\(\frac { 8 }{ 3 } \)

(b)

\(\frac { 4 }{ 3 } \)

(c)

\(\frac { 2 }{ 3 } \)

(d)

\(\frac { 5 }{ 3 } \)

In a binomial distribution, if the mean is 8 and the variance is 6, then the number of trials is _____________

(a)

32

(b)

48

(c)

16

(d)

12

A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of number of success is _____________

(a)

\(\frac { 8 }{ 3 } \)

(b)

\(\frac { 3 }{ 8 } \)

(c)

\(\frac { 4 }{ 5 } \)

(d)

\(\frac { 5 }{ 4 } \)