The area under the standard normal curve between Z=-∞ and z=∞ is

(a)

0

(b)

0.5

(c)

1

(d)

0.75

The standard normal distribution is represented by ___________

(a)

N(0,0)

(b)

N(1,0)

(c)

N(0,1)

(d)

N(1,1)

In 8 throws of a die, 1 or 3 is considered a success. Then the mean number of successes is ___________

(a)

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

(b)

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

(c)

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

(d)

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

In a poison distribution, mean is 16, then standard deviation is ___________

(a)

4

(b)

128

(c)

256

(d)

20

If Z is a standard normal variate, then p(0

(a)

0.5

(b)

1

(c)

0.25

(d)

0.75

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

The probability that a normal variate X lies in the interval (μ-σ, μ+σ) is ___________

(a)

0.0027

(b)

0.9973

(c)

0.6826

(d)

0.9544

In case of normal distribution, skewness is ___________

(a)

1

(b)

0

(c)

2

(d)

3

For a normal distribution if the mean is m, mode is n and median is m, then ___________

(a)

m > m₁ > m₀

(b)

m < m₁ < m₀

(c)

m ≠ m₁ x m₀

(d)

m = m₁ = m₀

If the mean of the binomial distribution is 25, then its standard deviation lies in the interval ___________

(a)

[0,5)

(b)

(0,5]

(c)

[0,25]

(d)

(0,25]

The probability that a person will hit a target in shooting practice is 0.3. If he shoots 10 times, the probability that he hits the target is ___________

(a)

1

(b)

1-(0.7)¹⁰

(c)

(0.7)¹⁰

(d)

(0.3)¹⁰

The variance of a binomial distribution is ___________

(a)

equal to its mean

(b)

less than its mean

(c)

greater than its mean

(d)

none

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)

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

In a Poisson distribution mean is 25, then S.D is ___________

(a)

5

(b)

625

(c)

125

(d)

\(\sqrt{5}\)

In a binomial distribution, n = 4, p(X = 0) = \(\frac{16}{81}\), then p(X = 4) is ___________

(a)

\(\frac{1}{16}\)

(b)

\(\frac{1}{81}\)

(c)

\(\frac{1}{27}\)

(d)

\(\frac{1}{8}\)