Take your time to read instructions before taking this test.

There are 40 questions which you are to answer in 15 minutes that gives you roughly 30 seconds per question.

If you can get at least 60%, you can be rest assured that you’ll ace FMS 102 exam

In a normal exam you will be asked between 40 – 60 questions but I only arranged 40 questions

Note

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Move as fast as possible and starting with questions that don’t have calculation first to save time
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70 – 100 A

60 – 69 B

50 – 59 C

45 – 49 D

40 – 44 E

0 – 39 F

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250

Created on July 30, 2023 By

Ace/Undergragra

FMS 102

1 / 40

1. Copy - In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?

A. 13/21

B. 17/21

C. 19/66

D. 1

2 / 40

2. If ‘X’ is a random variable, taking values ‘x’, probability of success and failure being ‘p’ and ‘q’ respectively and ‘n’ trials being conducted, then what is the probability that ‘X’ takes values ‘x’? Use Binomial Distribution

A. P(X = x) = xCn qx p(n-x)

B. P(x = x) = xCn pn qx

C. P(X = x) = nCx px qx

D. P(X = x) = nCx px q(n-x)

3 / 40

3. Copy - The probability of an impossible event is ____

A. 2

B. 3

C. 0

D. 1

4 / 40

4. In Normal distribution, the highest value of ordinate occurs at ___________

A. Same value occurs at all points

B. Extremes

C. Variance

D. Mean

5 / 40

5. Rank the score of 5 in the following set of scores:

9, 3, 5, 10, 8, 5, 9, 7, 3, 4

A. 6

B. 3

C. 4

D. 4.5

6 / 40

6. A deck of 52 cards has four suits: hearts, spades, diamonds, and clubs. There are 13 cards in each suit. You draw one card at random from the deck. What is the probability it's a heart?

A. 1/52

B. 4/13

C. 4/52

D. 13/52

7 / 40

7. How much variance has been explained by a correlation of .9?

A. 18%

B. 81%

C. 27%

D. 9%

8 / 40

The recurrence relation between P(x) and P(x +1) in a Poisson distribution is given by ___________

A. (x+1) P(x+1) – m P(x) = 0

B. P(x+1) – m P(x) = 0

C. m P(x+1) – P(x) = 0

D. (x+1) P(x) – x P(x+1) = 0

9 / 40

9. An investigator reports that the arithmetic mean of two regression coefficients of a regression line is 0.7 and the correlation coefficient is 0.75. Are the results

A. Inconclusive

B. Valid

C. Invalid

D. None of the options

10 / 40

10. For a standard normal variate, the value of mean is?

A. 1

B. Infinity

C. 0

D. Not defined

11 / 40

11. Normal Distribution is applied for ___________

A. Continuous Random Distribution

B. Irregular Random Variable

C. Uncertain Random Variable

D. Discrete Random Variable

12 / 40

12. Copy - When the regression line passes through the origin then

A. Correlation is zero

B. The regression coefficient is zero

C. Association is zero

D. Intercept is zero

13 / 40

13. Which of the following is not an assumption for simple linear regression?

A. Constant variance

B. Linear relationship

C. Multicollinearity

D. Normally distributed variables

14 / 40

14. In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?

A. 13/21

B. 17/21

C. 1

D. 19/66

15 / 40

15. Find the median of the set of numbers: 1,2,3,4,5,6,7,8,9 and 10.

A. 1

B. 10

C. 5.5

D. 55

16 / 40

16. For larger values of ‘n’, Binomial Distribution ___________

A. Stays as it is

B. Gives oscillatory values

C. Tends to Poisson Distribution

D. Loses its discreteness

17 / 40

17. The discrete probability distribution in which the outcome is very small with a very small period of time is classified as

A. Posterior distribution

B. Poisson Distribution

C. Normal distribution

D. Cumulative distribution

18 / 40

18. A correlation of .7 was found between time spent studying and percentage on an exam. What is the proportion of variance in exam scores that can be explained by time spent studying

A. 30

B. 7

C. 49

D. 70

19 / 40

19. The following numbers represent the ages of people on a bus: 3, 6, 27, 13, 6, 8, 12, 20, 5, 10. Calculate their mean of their ages.

A. 11

B. 6

C. 10

D. 9

20 / 40

20. Copy - How much variance has been explained by a correlation of .9?

A. 9%

B. 27%

C. 81%

D. 18%

21 / 40

21. When the regression line passes through the origin then

A. Correlation is zero

B. Intercept is zero

C. The regression coefficient is zero

D. Association is zero

22 / 40

22. Copy - The following numbers represent the ages of people on a bus: 3, 6, 27, 13, 6, 8, 12, 20, 5, 10. Calculate their mean of their ages.

A. 11

B. 9

C. 6

D. 10

23 / 40

23. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green

A. 44198

B. 44259

C. 44199

D. 44429

24 / 40

24. Find the mean and median of the given data set.

57, 65, 72, 66, 55, 57, 58, 57, 62

A. Mean=61, Median =58

B. Mean=60, Median =58

C. Mean=60,Median =57

D. Mean=61, Median =57

25 / 40

25. Copy - If ‘X’ is a random variable, taking values ‘x’, probability of success and failure being ‘p’ and ‘q’ respectively and ‘n’ trials being conducted, then what is the probability that ‘X’ takes values ‘x’? Use Binomial Distribution

A. P(x = x) = xCn pn qx

B. P(X = x) = xCn qx p(n-x)

C. P(X = x) = nCx px q(n-x)

D. P(X = x) = nCx px qx

26 / 40

26. Copy - A deck of 52 cards has four suits: hearts, spades, diamonds, and clubs. There are 13 cards in each suit. You draw one card at random from the deck. What is the probability it's a heart?

A. 1/52

B. 4/52

C. 13/52

D. 4/13

27 / 40

27. f the number of trials are 8 and the probability of success are 0.65 then the mean of negative probability distribution is

A. 7.35

B. 8.65

C. 12.31

D. 5.2

28 / 40

28. A die is rolled. What is the probability of getting an even number?

A. 1/4

B. 1/2

C. 1/3

D. 1/6

29 / 40

29. In Standard normal distribution, the value of median is ___________

A. 2

B. 0

C. Not fixed

D. 1

30 / 40

30. Continuous predictors influence the ______ of the regression line, while categorical predictors influence the _____________.

A. R2,p value

B. p value,R2

C. Intercept,slope

D. Slope, intercept

31 / 40

31. Copy - An investigator reports that the arithmetic mean of two regression coefficients of a regression line is 0.7 and the correlation coefficient is 0.75. Are the results

A. Inconclusive

B. None of the options

C. Invalid

D. Valid

32 / 40

32. Significance for the coefficients (b) is determined by

A. an F test

B. an R2 test

C. a correlation coefficient

D. a t-test

33 / 40

33. These numbers are taken from the number of people that attended a particular church every Friday for 7 weeks: 62, 18, 39, 13, 16, 37, 25. Find the mean

A. 25

B. 30

C. 210

D. 62

34 / 40

34. Coefficient of Correlation values lies between

A. 0 and 1

B. None of these

C. -1 and +1

D. -1 and 0

35 / 40

35. The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13, 11, 7, 9, 19, 12, 11, 9, 7, 9, 10, 11.

A. 11

B. 10

C. 12

D. 9

36 / 40

36. Copy - Find the mean and median of the given data set.

57, 65, 72, 66, 55, 57, 58, 57, 62

A. Mean=61, Median =58

B. Mean=61, Median =57

C. Mean=60,Median =57

D. Mean=60, Median =58

37 / 40