GTU · BE Computer · Semester 3
GTU 3130006 Probability and Statistics (PS) Old Question Papers & Solutions PDF
Official Gujarat Technological University (GTU) old question papers PDF (Regular & Remedial) and step-by-step solved questions for Probability and Statistics (PS) across 2023 – 2026 examinations.
33 questions GTU asked more than onceAsked in 6 of 7 papers: Calculate the correlation coefficient between x and y using the following data x 1 2 3 4 5 6 7 8 9 y 9 8 10 12 11 13 14 16 15See listExam papers
Most repeated questions
33 questions GTU set in two or more of 7 papers, most repeated first. Tap a year to open that paper at the question.
Calculate the correlation coefficient between x and y using the following data x 1 2 3 4 5 6 7 8 9 y 9 8 10 12 11 13 14 16 15
Winter 2025 Q3c Summer 2025 Q3c Winter 2024 Q3c Summer 2024 Q3c Winter 2023 Q4c OR Summer 2023 Q4a Summer 2023 Q4a OR
Three companies A, B and C supply 30%, 50% and 20% of the notebooks to a school. Past experience shows that 8%, 5% and 10% of the notebooks produced by these companies are defective. If a notebook was found to be defective, what is the probability that the notebook was supplied by A?
Winter 2025 Q1b Summer 2025 Q2c Winter 2024 Q2c Summer 2024 Q1c Winter 2023 Q1c Summer 2023 Q1c
Fit the second degree parabola using the least square method to the following data x : 1 2 3 4 y : 1.7 1.8 2.3 3.2
Winter 2025 Q2c OR Summer 2025 Q1c Winter 2024 Q5c OR Winter 2023 Q2c Summer 2023 Q5c OR
A sample of 12 fathers and their eldest sons gave the following data about their height in inches. Calculate coefficient of rank correlation. Father: 65 63 67 64 68 62 70 66 68 67 69 71 Son : 68 66 68 65 69 66 68 65 71 67 68 70
Summer 2026 Q3a OR Winter 2025 Q3b OR Summer 2025 Q3b Winter 2023 Q4c Summer 2023 Q4b
Weight of 1000 experimental animals is normally distributed with mean 235 grams and standard deviation 35. How many animals weigh (a) below 172 grams (b) above 312 grams (c) between 172 to 312 grams. [P(Z=1.8)=0.4641,P(Z=2.2)=0.4841]
Summer 2025 Q5c Winter 2024 Q5c Summer 2024 Q5c Summer 2023 Q2c
In his experiments on pea-breeding, Mendel obtained the following frequencies of seeds: Class Observed Frequency Round and yellow 315 Wrinkled and yellow 101 Round and green 108 Wrinkled and green 32 Total 556 Theory predicts that the frequencies should be in the proportions 9 : 3 : 3 : 1. Use test to examine the correspondence between theory and observations at 5% significance level.
Summer 2026 Q5c Winter 2025 Q5c OR Summer 2024 Q4c Winter 2023 Q2b
A machine produced 20 defective articles in a batch of 400. After overhauling, it produced 10 defectives in a batch of 300. Has the machine improved? (Test at 5% level of significance)
Summer 2026 Q4b OR Winter 2025 Q5a OR Winter 2024 Q4c Summer 2023 Q5b OR
Suppose on an average 1 house in 1000 in a certain district has a fire during a year. If there are 2000 houses in that district, what is the probability that exactly 5 houses will have a fire during the year?
Winter 2025 Q4a OR Summer 2025 Q2c OR Winter 2023 Q3a Summer 2023 Q2b
The mean weekly sales of soap bars was 146.3 bars per store. After an advertising campaign, the mean weekly sales in 22 stores for a typical week increased to 153.7 with standard deviation of 17.2. Was the advertising campaign successful? ( Test at 5% level)
Summer 2026 Q5a Winter 2024 Q4a OR Winter 2023 Q5a OR Summer 2023 Q5a OR
Fit a curve of the formx ab y = to the following data x : 1 2 3 4 5 6 7 y : 87 97 113 129 202 195 193
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In a flu epidemic, 500 persons contracted the disease. 200 receives no serum treatment and of these 75 died. Of those who did receive serum treatment, 65 died. Was the serum treatment effective? Use test at 1% significance level.
Test whether the following samples could have been drawn from population with same SD. Sample A Sample B Size 100 200 SD
In a normal distribution 31% of the items are under 45 and 8% are over 64. Find the parameters of the distribution.
Find the best fitting line to the points (1,1), (2,4), (3,9), (4,16)
Calculate first four central moments of observations 3,5,7,13
A coin returned 531 heads in 1000 tosses. Is it biased? [Use 𝛼 = 0.05]
A machine part was designed to withstand an average pressure of 120 units. A random sample of size 100 from a large batch was tested and it was found that the average pressure which these parts can withstand is 105 units with a standard deviation of 20 units. Test at 1% significance level whether the batch meets the specification.
Two variates have the regression lines as x + 4y + 3 = 0 and 4x + 9y + 5 = 0. Find the correlation coefficient.
Obtain the line of regression of monthly sales (Y) on advertisement expenditure (X) and estimate the monthly sales when the company will spend Rs. 50,000 on advertisement, if the data on X and Y are as follows: Y (in lac) : 74 76 60 68 79 70 71 94 X (in thousand) : 43 44 36 38 47 40 41 54
Fit a second degree parabola to the data: x 1 2 3 4 5 6 7 8 9 y 2 6 7 8 10 11 11 10
A random variable X has the following probability function X=x -2 -1 0 1 2 3 P(X=x) 0.1 K 0.2 2K 0.3 3K (i) Find K (ii) Find P(X<2) (iii) Determine the distribution function F(x) of X.
Fit a relation of the form 𝑦 = 𝑎𝑏𝑥 for the following data by the method of least squares: x: 2 3 4 5 6 y: 8.3 15.4 33.1 65.2 126.4 Estimate the value of y when x = 1.
If a random variable has a Poisson distribution such that 𝑃(𝑋 =
The incidence of occupational disease in an industry is such that the workmen have a 20% chance of suffering from it. What is the probability that out of 6 workmen 4 or more will suffer from disease?
In a partially, destroyed record on analysis of correlation data, only the following are legible: Variance of x, 𝜎𝑥 2 = 9, regression equation 8x – 10y + 66 = 0, 40x – 18y = 214. Find (i) mean values of x and y, (ii) the standard deviation of y.
A certain stimulus administered to each of the 12 patients resulted in the following increase of blood pressure: 5, 2, 8, -1, 3, 0, -2, 1, 5, 0, 4 and 6 Can it be concluded that the stimulus will, in general be accompanied by an increase in blood pressure? (Given that for 5% level of significancet for 11 d. f is 1.796)
The standard deviations calculated from two random samples of sizes 9 and 13 are 2.1 and 1.8 respectively. May the samples be regarded as drawn from normal populations with the same standard deviation? (Test at 5% significance level)
A random variable X has the following distribution: 𝑋 −3 −2 −1 0 1 2 𝑃(𝑋 = 𝑥) 0.05 0.1 0.2 0.3 0.2 0.15 Find (i) 𝐸(𝑋) (ii)𝑉𝑎𝑟(𝑋).
Let X be a continuous random variable with pdf 𝑓(𝑥) = 𝑘𝑥(1 − 𝑥), 0 ≤ 𝑥 ≤ 1 Find 𝑘 and determine 𝑃(0 ≤ 𝑋 ≤ 0.5).
An incomplete frequency distribution is given with N = 229 and median = 46. Determine the missing frequencies. Obs. 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Freq. 12 30 ? 65 ? 25 18
Explain the terms one-tailed and two-tailed test
Explain the terms null and alternate hypothesis
A random variable X with unknown probability distribution has a mean 8 and standard deviation 3. Evaluate the bounds on P (- 4 < X < 20).
Which branches take this subject
GTU's syllabus lists 3130006 for 18 branches. One set of papers serves all of them.
Semester 3: 18 branches
Artificial Intelligence and Data Science, Artificial Intelligence and Machine Learning, Biomedical Engineering, Computer Engineering, Computer Science & Design, Computer Science & Engineering, Computer Science & Engineering (Artificial Intelligence and Machine Learning), Computer Science & Engineering (Cyber Security), Computer Science & Engineering (Data Science), Computer Science & Engineering (Internet of Things and Cyber Security Including Block Chain Technology), Electronics & Communication Engineering, Electronics and Communication (Communication System Engineering), Electronics Engineering, Industrial Engineering, Information & Communication Technology, Information Technology, Manufacturing Engineering, Production Engineering
Other Semester 3 subjects
Common questions
Are these GTU 3130006 Probability and Statistics papers valid for both Regular and Remedial exams?
Yes. Gujarat Technological University (GTU) follows the same 70-mark syllabus, exam blueprint, and 23-mark passing cutoff for both Regular and Remedial (ATKT/backlog) examinations. All 7 past exam sessions (2023 – 2026) serve as comprehensive preparation for either attempt.
How can I download GTU 3130006 Probability and Statistics old question papers PDF?
You can download official GTU 3130006 original question paper PDFs directly from the table above with 1 click and zero deceptive ads or wait timers. Every paper also includes interactive online questions with AI study prompts.
What is the passing mark for GTU Probability and Statistics (3130006)?
The external theory exam carries 70 marks. The minimum passing cutoff is 23 marks (33%). Exam duration is 2.5 hours.
What is the GTU exam pattern for 3130006?
The examination contains 5 main questions of 14 marks each, totaling 70 marks. Questions 2 through 5 provide internal OR choices, typically split into 3-mark, 4-mark, and 7-mark questions.