BCA503 Statistical Computing BCA Question Bank : bbdnitm.ac.in
Name of the Institute : Babu Banarasi Das National Institute of Technology & Management
Degree : BCA
Department : Computer Applications
Subject Code/Name : (BCA-503) Statistical Computing
Year : 3rd
Semester : 5th
Document Type : Question Bank
Website : bbdnitm.ac.in
Download Model/Sample Question Paper :https://www.pdfquestion.in/uploads/bbdnitm.ac.in/3172-BCA-C-503-SC-QBank.pdf
BBDNITM Statistical Computing Question Paper
Q1. Find the AM, GM, HM of the following-
(i) 15, 25, 35,12,14,9,18,20
(ii) 23, 16, 17,21,8,7,39
Related : BBDNITM BCA505 Optimization Techniques BCA Question Bank : www.pdfquestion.in/3174.html
Q2. Find the mean deviation about the median of the following : 8,15,53,49,19,62,7,15,95,77.
Q3. Find the mean deviation about arithmetic mean of each of the following distribution 27, 33,49,61,76,104,126.
Q4. Find the standard deviation for following distribution 1, 2,3,4,5,6,7,8,9,10,11
Q5. Prove the variance of the first n positive integer is : (n2-1)/12
Q6. The average weight of the following distribution is 58.5kg. Find the value of X?
Q7. The table given below the no. of candidate obtain X or higher marks in certain examination. Calculate the mean and median marks obtained by candidate?
Q8. From the following frequency distribution two class frequencies are missing and the total frequency is 900 and median is 100.048. find the two missing frequencies?
Q9. The table given below the frequency distribution of weight of 85 apples. determine median weight of apple and find its mode?
Q10. Calculate the median and mode of the following table
Q11. The table below given the no. of candidate obtaining marks ‘X’ or higher in a certain examination. Calculate the mean and median marks obtained by the candidate.
Q12. Find the 1st and 3rd quartiles, 6th and 9th deciles and 46th and 67th percentiles from. the following distribution?
Q13. From the following frequency distribution calculate the quartile deviation.
Q14. Find the mean deviation about mean from the following frequency distribution and evaluate S.D also.
Q15. The mean and the S.D of a sample of 100 observations work calculated as 40 and 5.1 respectively, by a student who took by mistake 50 instead of 40 for 1 observations. Calculate the correct mean and S.D
Q16. The first of two samples have 100 items with mean 15 and S.D 3. If the whole group have 250 item with mean 15.6 and S.D v13.44. find the S.D of second group.
Q17. The Mean and Standard Deviation of a sample of 100 observations were calculated as 40 and 5.1 respectively by mistake. Calculate the correct Mean and Standard Deviation?
Q18. The first two samples have 100 items with Mean 15 and SD is 3. If the whole group have 250 items with Mean 15.6 and SD is v13.44. Find the SD of second group?
Q19. The scores of two batsmen A and B in ten innings during a certain season are as Follows. Which Batsman is more consistent?
Q20. Find out the standard deviation from the following table giving the weight of 200 Person :
Q21. Find the mean deviation about the median from the following distribution
Q22. Find the coefficient of variation of the following values 40,30,80,60,50,90,70 Q23. Find the standard deviation of the following frequency distribution of the daily wage of 500 workers in a factory
Q24. Calculate Pearson’s coefficient of correlation from the following taking 100 and 50 . as the assumed average of X and Y respectively.
Q25. The coefficient of rank correlation between the marks in statistics and maths obtained by a certain group of students is 2/3 and sum of the squares of the differences in ranks is 55. Find the number of students in the group?
Q26. Calculate the coefficient of correlation using the method of concurrent deviation between supply and demand given below
Q27. Find the two regression equation from the following data
Q28. You are given variance of y=16. The regression equation are 4x-5y+33=0 and 20x-9y=107, Find
i) The average values of x and y
ii) Correlation coefficient between x and y
iii) SD of x
Q29. Find the first four moments about the mean from the following data
Q30. Find the regression equation of x and y from the following data : Sx=24 Sy=44 Sxy=306 Sx2=164 Sy2=574 N=4 Q31. Find both the regression equation from the following data: Sx=60 Sy=40 Sxy=1150 Sx2=4160 Sy2=1720 N=10 Q32. Two lines of regression are given by X+2Y=5 and 2X+3Y=8 and var(x)=12.Calculate the value of X’,Y’,var(y),r. Q33. Given the regression lines as 3X+2Y=26 and 6X+Y=31.Find their point of intersection and interpret it .Also find the correlation coefficient between X and Y. Q34. Given the following data: Correction coefficient between X and Y=0.66
Find the two regression equation. Q35. Explain the following terms with a suitable example for each :
(a) Events
(b) Elementary and compound event
(c) Equally likely events
(d) Mutually exclusive events
(e) Sample space
(f) Outcome
(g) Exhaustive set of events
Q36. If one card is drawn at random from a well shuffled pack of 52 cards. Find the chance that the card is
i) A diamond
ii) Not a diamond
iii) An ace
iv) Either a spade or a heart
Q37. Find the probability that in a game of bridge a hand of 13 cards will contain all the 4 aces? Q38. There are 4 white , 2 red Balls in a bag. If a ball is drawn out at random, three time in succession without replacement .What is chance that all the three would be white Q39. Three cards are drawn from a pack of 25 cards, each being replaced before the next one is drawn .Compute the probability that all are : (a) Spades (b)Aces (c) Red Q40. One bag contain 4 red and 2 black ball another bag contain 3 red and 5 black balls is drawn from each bag .Determine the probability that: (a)both are red (b) both are black (c) one is red and one is black Q41. There are 4 balls in a bag: white, red, green and blue. If a ball is drawn out at random 3 . times in succession. What is the chance that all the 3 would be white (assume that ball is replaced after each drawing). Q42. A bag contains 5 red and 3 black balls & 2nd bag contain 4 red and 5 black balls. One of these is selected at random and draw of 2 balls is made from it. What is the probability that one of them is red & other is black. Q43. One bag contains 8 White and 5 black balls another bag contains 5 White and 3 black balls is drawn from each bag .Determine the probability that: (a)both are white (b) both are black (c) one is white and one is black Q44. A bag contains 4 green and 6 red balls. A ball is drawn at random and then without replacing if a second balls is drawn what is chance that a green is drawn each time . Q45. A problem in statistics is given to three student A,B,C .Whose chances to solving it are 1/3,1/4,1/5 respectively .What is the probability that the problem will be solved. Q46. Given that P(A)=3/8, P(B)=5/8 AUB=3/4.Find P(A/B) and P(B/A) .Are A & B are independent . Q47. A speaks truth is 60% and B speak 75% of the cases in what percentage of cases are they likely to contradict each other stating the same fact. Q48. A and B are two events not mutually exclusive connected with a random experiments E. if P(A)=1/4, P(B)=2/5 and P(AUB)=1/2. Find the value of the following probabilities-
i) P(AnB)
ii) P(AnBc)
iii) P(AcnBc)
Q49. There are two identical boxes containing respectively 4 white & 3 red balls and 3 white & 7 red balls. A box is chosen at random and a ball is drawn it. If the ball is white what is the probability that it is from the first box?
Q50. From a pack of 52 cards an even nos. of card is drawn. Show that the probability that these consist of half red & half black is ((52!/26!2)-1)/(251-1).
Q51. In a examination 30%, 35% & 45% failed in statistics, in mathematics, in at least one of the subject respectively. An examinee selected at random find the probability that (a). He failed in mathematics only (b). He passed in statistics if it is known that he failed in mathematics.
Q52. In 10 independent throws of a defective die the probability that an even number will be appear 5 times is twice than the probability that an even number will be appear 4 times. Find the probability that an even number will not appear at all in 10 independent throws in die.
Q53. If 2% of electric bulb manufactured by a certain company are defective. Find the probability that in a sample of 200 bulbs : (a). Less than 2 bulbs are defective. (b). More then 3 bulbs are defective.
Q54. What is the probability of guessing correctly at least 6 of the 10 answers in TRUE- FALSE objective test? Using binomial distribution.
Q55. Find the probability that at most 5 defective bolts will be found in a box of 200 bolts. If it is known that 2% of such bolts are expected to be defective.Using poison distribution.