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# Probability and Statistics

### Examination 2019

#### Group B

Attempt any Six question

2. Describe scope and limitation of statitics.

3. Determine average wages from following data:

 Wage 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 50 - 55 55 - 60 60 - 65 65 - 70 No of worker 10 13 18 21 24 28 20 11 8

4. Calculate Karl Pearson's correlation coeddicient from the following data:

 Sales 43 41 36 34 50 Expenses 10 22 13 19 17

5. Estimate the marks in JAVA when the marks in statistics in 65 by using following data.

 Marks in statistics 57 58 59 59 60 61 62 64 Expenses 77 78 75 78 82 82 79 81

6. Fit Bionomial Distribution from the following data where p = 0.5

 No. of health 0 1 2 3 4 Frequency 28 62 46 20 4

7. How do you determine sample size in sampling? explain briefly

8. Write short notes on simpl random sampling

#### Group C

Attempt any Two question

9. Student's age in the regular daytime BCCA program and the morning time BCA program of campus are described by two samples. If the homogeneity in age of the class is positive factor in learning make suggestions, with reason which of two groups will be easier to teach

 Popular BCA Program Morning BCA Program Age Number of student Age Number of student 23 9 27 19 29 2 31 8 28 5 30 5 22 10 29 4 30 1 28 6 21 4 33 5 25 11 34 5 26 6 35 11 27 3 36 2 24 9 32 4 Total 60 Total 60

18. Given a normal distribution with mean 200 and s.d 20, find the proability that.
i) P(x > 180)
ii)P(x < 220)
iii)P(160 < x < 240)
iv)P(x > 220)
v)P(x < 180 or x > 220)
vi) 10% of the values are less than what values of x?

11. The labor productivity indexes of Nepal are recorded is below:

 Sector Year 2015 2016 2017 Agriculture 100 125 138 Manufacturing 100 60 53 Community and social service 100 89 80

Dose the labor productivity index vary die to the;

i) Difference in the sector
ii) Difference in the time period

Note: Group A = 1 x 10 = 10    Q - 1
Group B = 6 x 5 = 30    Q - 2 to 8
Group C = 2 x 10 = 20    Q - 9 to 11
Practical = 40

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