In case of bivariate distribution, co-variance of distribution is represented:

• A) E(X^2)-[E(X)]^2
• B) E(Y.X)-E(X).E(Y)
• C) E(X.X)-E(X).E(Y)
• D) E(Y.Y)-E(X).E(Y)

$${\text{In a normal distribution how much area lies between }}\mu \pm 2\sigma$$

• A) 85%
• B) 94%
• C) 95.45%
• D) 75%

In a discrete distribution function, F(10) can be stated as:

• A) P (there are more than 10 successes)
• B) P (there are less than 10 successes)
• C) P (there are at most 10 successes)
• D) P (there are at least 10 successes)

Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of non-diseased cattle in a sample of size 5. the distribution of Y is:

• A) Binomial with n = 5 and p = 0.6
• B) Binomial with n = 5 and p = 0.5
• C) Binomial with n = 5 and p = 0.4
• D) Poisson with u = .6

The probability distribution of X is given below.
x: 0 1 2 3 4
p(x): 0.73 ? 0.06 0.04 0.01
What is the value of missing probability?

• A) 0.06
• B) 0.16
• C) 0.25
• D) 0.54

The bivariate probability density function of continuous r.v’s X and Y, satisfy the following property:

• A) f(x,y)< and =0
• B) f(x,y)< and =1
• C) f(x,y)> and = 0
• D) f(x,y)> and =1

A correlation of -0.5 would indicate a scatterplot in which the slope is:

• A) curvilinear.
• B) none of these.
• C) upwards.
• D) downwards.

If an experiment produces different results even if it is repeated a large number of times under similiar conditions is known as

• A) Fixed Value
• B) Random Experiment
• C) Experiment
• D) None of the above

Which of the following is the property of hypergeometric experiment?

• A) n is not fixed
• B) Sampling is performed without replacement
• C) Successive trials are independent
• D) p remains constant from trial to trial

In a standard normal distribution area to the left of z = 0 is:

• A) 75%
• B) 25%
• C) 50%
• D) 30%

What are the numbers of parameter of Hyper geometric distribution ?

• A) 2
• B) 4
• C) 5
• D) 3

Mean of binomial distribution is:

• A) n
• B) np
• C) p
• D) n/p

[Math Processing Error]For the Poisson distribution P(X = 1) = e−0.1350.13511! the mean value is:$${\text{For the Poisson distribution P(X = 1) = }}\frac{{{e^{ - 0.135}}{{0.135}^1}}}{{1!}}{\text{ the mean value is:}}$$

• A) 1
• B) [Math Processing Error]e−0.135$${{e^{ - 0.135}}}$$
• C) 0.135
• D) -0.135

The larger the n, the smaller the standard error, and so the narrower the

• A) None of the above
• B) Confidence level
• C) Level of significance
• D) Confidence Interval

A deserving player was not selected in the cricket team. It is an example of:

• A) Type-II error
• B) Type-I error
• C) Type-IV error
• D) Type-III error

Which of the following must not be a consistent estimator ?

• A) Sample variance
• B) Sample median
• C) Sample mean
• D) Sample Proportion

If a statistic used as an estimator, has its expected value equal to the true value of the population parameter being estimated then it is called ........

• A) Consistent
• B) Efficient
• C) Sufficient
• D) Unbiased

In testing H0: µ = 100 against H1: µ ≤ 100 at the 10% level of significance,H0 is rejected if:

• A) The p-value is less than 0.10
• B) 100 is contained in the 90% confidence interval
• C) The p-value is greater than 0.10
• D) The value of the test statistic is in the acceptance region

A null hypothesis is generally denoted by:

• A) H3
• B) H1
• C) H2
• D) H0

If an estimator is more efficient then the other estimator, its shape of the sampling distribution will be

• A) Skewed to right
• B) Normal
• C) Flattered
• D) Highly peaked