Given below is the probability distribution of random variable X. What is the value of “k”
x 0 1 2 3 4
p(x) 0.5 0.2 0.07 k 0.03

• A) 0.02
• B) 0.1
• C) 0.002
• D) 0.20

In a binomial experiment successive trials are:

• A) None
• B) Independent
• C) Dependent
• D) Both

If µ4 =3.5 and µ2 = 2 then the kurtosis of the distribution will be:

• A) 1.75
• B) 0.75
• C) 0.875
• D) 0.25

In hyper geometric distribution the following condition is violated

• A) Dependence of trials
• B) Both a) and b)
• C) Independence of trials
• D) None of the above

We can obtain the individual probabilities of x and y from the joint probability function/distribution of f(x,y). Such individual probabilities are known as

• A) Bivariate probabilities
• B) Separate probabilities
• C) Marginal probabilities
• D) Independent probabilities

The range of the binomial distribution is:

• A) 0, 1, 2, ………… 100
• B) 0, 1, 2, ………… n
• C) 0, 1, 2, ………… x
• D) 1,2, …………….n

The normal distribution has points of inflection which are equidistance from the:

• A) None of these
• B) Mean
• C) Standard Deviation
• D) Variance

λ is a positive ________, equal to the expected number of occurrences that occur during the given interval.

• A) Irrational number
• B) Transcendental number
• C) Real number
• D) Complex number

Which type of data is used in the binomial distribution?

• A) Both discrete and continuous
• B) Qualitative data only
• C) Discrete data only
• D) Continues data only

Given below is the probability distribution of random variable X. What is the value of “k”
x 0 1 2 3 4
p(x) 0.70 k 0.10 0.07 0.03

• A) 0.01
• B) 0.03
• C) 0.001
• D) 0.10

In a binomial probability distribution, relation between mean and variance is:

• A) Mean < Variance
• B) Mean = Variance
• C) Mean > Variance
• D) Difficult to tell

If E(x) = 2.5 then E(2X+0)=.....:

• A) 3.5
• B) 0
• C) 5
• D) 2.5

Which of the following is not a property of a binomial experiment?

• A) the experiment consists of a sequence of n identical trials
• B) All of the above
• C) the probabilities of the two outcomes can change from one trial to the next
• D) each outcome can be referred to as a success or a failure

When the random variables X and Y are independent, then its co-variance must be:

• A) Positive
• B) One
• C) Zero
• D) Negative

Let X be a random variable with binomial distribution, that is (x=0,1,…, n). The Var[X] is:

• A) np(1-p)
• B) p
• C) np
• D) Xnp

If x is a continuous random variable, then the area under the cumulative distribution curve between any two points is always:

• A) in the range 0 and 1
• B) greater than 1
• C) less than zero
• D) equal to 1

The mean and the variance are equal in:

• A) The hypergeometric distribution.
• B) The binomial distribution.
• C) The Poisson distribution
• D) All probability distributions.

In hyper geometric distribution; experiment can be repeated a

• A) None of the above
• B) fixed number of times
• C) variable number of times
• D) Depends upon the situation

In the FA examination, 24candidates offered Statistics. If the probability of passing the subject be 1/3, what will be the mean of the distribution?

• A) 7
• B) 8
• C) 5
• D) 6

The number of students waiting a bus stop in the morning and their probabilities are given below. Where x = number of students waiting at the bus stop.
x f(x)
0 0.10
1 0.25
2 0.30
3 0.20
4 0.15
What is the probability that there are 5 (x=5) students waiting at the bus stop?

• A) 0.10
• B) 0
• C) 0.25
• D) 0.3