Consider a population containing N items and n are selected as a sample with replacement. Find all the possible samples.

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

Find the number of all possible samples from a population containing 18 items from which 6 items are selected at random without replacement.

A

18564

B

15864

C

20264

D

21564

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

A population contains N items out of which n items are selected with replacement. Find the probability of the sample being selected.

A

1/N

B

1/nN

C

1/NCn

D

1/Nn

A student was studying primate uterine thickness. She had 3 samples of uterine tissues. The thickness in mm for the samples are as follows: Sample A – 4 mm, Sample B – 10 mm, Sample C – 1 mm Given the knowledge of menstrual cycle in humans, what phases do you think each sample belongs to?

A

Sample A: Menstrual phase, Sample B: Follicular phase, Sample C: Luteal phase

B

Sample A: Proliferative phase, Sample B: Luteal phase, Sample C: Menstrual phase

C

Sample A: Secretory phase, Sample B: Menstrual phase, Sample C: Proliferative phase

D

Sample A: Menstrual phase, Sample B: Secretory phase, Sample C: Follicular phase

A population has 10 items 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

A box contains 20 defective items and 80 non-defective items. If two items are selected at random without replacement, what will be the probability that both items are defective?

A

$$\frac{1}{5}$$

B

$$\frac{1}{{25}}$$

C

$$\frac{{20}}{{99}}$$

D

$$\frac{{19}}{{495}}$$

The probability of selecting a sample containing n items from a population with N items without replacement in a Sampling Distribution is?

A

1/NCn

B

1/nCN

C

1/2n

D

1/2N

In a test of differences between proportions, two samples are taken. In the first sample, a sample size of 100 shows 25 successes. In the second sample, a sample size of 80 shows 25 successes. What would be the value of B in this case?

A

$$\frac{{30}}{{100}} + \frac{{25}}{{80}}$$

B

$$\frac{{30}}{{100}} \times \frac{{25}}{{80}}$$

C

$$\frac{{30 + 25}}{{100}}$$

D

$$\frac{{30}}{{100}} + \frac{{25}}{{180}}$$

Which of the following pairs of Indian State and tribal population are correct? A. Madhya Pradesh : Largest tribal population B. Mizoram : Highest percentage of tribal population out of the total population of the State C. Chhattisgarh : Second largest tribal population after Madhya Pradesh D. Arunachal Pradesh : Second highest percentage of tribal population out of the total population of the State after Mizoram Select the correct answer using the code given below.

A

1 and 2 only

B

2 and 4 only

C

1, 2 and 3

D

2, 3 and 4

Consider a population containing N items and n are selected as a sample with replacement. Find all the possible samples.

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