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Probability Statistics
Probability Statistics Interview
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Q.1
A population has N items. Samples of size n are selected without replacement. Find the number of possible samples.
a) NCn
b) nCN
c) 2n
d) 2N
Q.2
Find the number of all possible samples from a population containing 8 items from which 2 items are selected at random without replacement.
a) 56
b) 28
c) 66
d) 38
Q.3
A bag contains 6 balls of different colours. A student selects 2 balls at random without replacement. Find all possible combinations of the colours of the selected balls.
a) 13
b) 14
c) 15
d) 16
Q.4
Consider a population containing N items and n are selected as a sample with replacement. Find all the possible samples.
a) N
b) nN
c) NCn
d) Nn
Q.5
A bag contains 6 pairs of socks. If 2 pairs of socks are selected at random with replacement then the number of possible samples is?
a) 6
b) 12
c) 36
d) 216
Q.6
Find the sampling fraction where N is population size and n is the sample size?
a) n/N
b) NCn
c) nN
d) Nn
Q.7
In random sampling the probability of selecting an item from a population is unknown.
a) True
b) False
Q.8
In a sampling distribution the population correction factor is given by?
a) (N-1/N-n)1/2
b) (N-n/N-1)1/2
c) (n-1/N-n)1/2
d) (N-1/n-1)1/2
Q.9
A population hasitems and a sample has been selected from it containing 5 items. Find the finite population correction factor.
a) (5/8)1/2
b) (5/7)1/2
c) (5/9)1/2
d) (5/6)1/2
Q.10
Find the value of standard error Ẋ in a sampling distribution with replacement. Given that standard deviation of the population ofitems is 8.
a) 3
b) 4
c) 2
d) 5
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