BCA 3rd Semester

Probability and Statistics 2020 Board Question Paper

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Tribhuvan university

Bachelor In Computer Application

Course Title:Probability and Statistics

Code No:CACS 202

Semester:III

2020

Full Marks:60 Pass Marks:24 Time:3 hours

Candidates are required to answer the question in their own words as far as possible.

Group B
Attempt any SIX question.
[6x5=30]
11.

Write down the process of collecting Primary Data.

12.

Determine First Quartile (Q₁), 7th Decile (D₇), and 80th Percentile (Pā‚ˆā‚€) from the following data:

Age in years101214161820222426
No of people211243527171185

13.

Calculate the correlation coefficient between income and expenditure in foods of certain families of Kathmandu Metropolitan from the following information:

Incone (000 rs)1011121314
Expenditure in food (000 rs)9891211

14.

What is sampling? The standard deviation of marks in an entrance exam for BCA students is 0.5. How large a sample must be taken in order to be 95% confident that the error of his/her estimate will not exceed 0.01?

15.

Calculate the median and mode from the following distribution:

Expenditure (000 rs)10-2020-3030-4040-5050-6060-70
Number of families712151385

16.

A test was given to three candidates taken at random from three provinces of Nepal. The scores of candidates are given below:

ProviencesScores
Gandaki976
Lumbini745
Bagmati656
Carry out one-way ANOVA.

17.

A box contains 50 items of which 20 are defective. If one item is selected randomly from the box, what is the probability that it is a non-defective item?

Group C

Attempt any TWO questions

[2x10=20]
18.

From the following data, determine the average marks of students, standard deviation, and coefficient of variation:

Marks0-1010-2020-3030-4040-5050-6060-7070-8080-90
No. of peoples549086586282786670

19.

In a normal distribution with mean = 200 and standard deviation = 20, find the probability that:
i) š‘ƒ(š‘‹ > 180)
ii) š‘ƒ(š‘‹ < 220)
iii) š‘ƒ(160 < š‘‹ < 240)
iv) š‘ƒ(š‘‹ > 220)
v) 10% values are less than what value of š‘‹?

20.

Describe Simple Random Sampling with a suitable example.