Business Statistics TU Board 2079 question paper

If mean = 35, mode = 40 and standard deviation = 10. Find Karl Pearson's coefficient of skewness and interpret the result.

Find Karl Pearson's correlation coefficient between X and Y from the following information. N = 10, ΣX = 125, ΣY = 50, ΣX² = 2080, ΣY² = 2085, ΣXY = 1050

The standard deviation of mesokurtic distribution is 7. What must be the value of fourth moment about mean?

Ram and Sita appear for an interview for two different posts. The probabilities of their selection are 3/4 and 1/5 respectively. Find the probability that (a) both of them will be selected (b) none of them will be selected.

The year of origin of the following trend line equation of sales (in millions rupees) is 2015. Y = 50 + 2.5X Estimate the sales for the year 2022.

The following table shows the monthly income of workers of two manufacturing companies A and BThe following table shows the monthly income of workers of two manufacturing companies A and BCompany ACompany BMean-monthly incomeRs. 2550Rs. 2800Number of workers100110

Find simple aggregative price index number for the year 2021 from the following information.CommoditiesABCDEFPrice in 2020 (Rs.)160140150130155120Price in 2021 (Rs.)17013515514015030

Find 7(A+B) where A=

Find the value of determinant of following matrix:

What is chronological classification? Give an example.

The marks distribution of 100 students of a College is as follows:Marks10-2020-3030-4040-5050-6060-7070-80No. of Students81625221595Determine the limits of marks of middle 80% students.

An enquiry into the budget of middle class families in a certain locality of a city gave the following information:Expenses onFoodRentClothingFuelMisc.30%15%20%10%25%Price in 2021 (Rs.)160601103080Prices in 2022 (Rs.)1847013555100What is the cost of living index number of 2022 as compared to 2021? If an employee's monthly salary is Rs. 40,500 in base period what should be his/her salary in current period?

Solve the following linear programming problem: Minimize Z = 2x + 3y Subject to Constraint: 5x + y ≥ 10 2x + 2y ≥ 12 x + 4y ≥ 12 x & y ≥ 0

a) From the given Pay-off table, give the decision according to (i) Maximax approach (ii) Maximin approach (iii) Minimax Regret approach.State of natureStrategiesS₁S₂S₃N₁400200700N₂100600300N₃500300100(b) Two fair dice are rolled at the same time. What is the probability that the two faces turn up to show (i) a sum of 8 or 9 (ii) a sum less than 5?

The following table reveals the sales distribution of a business house from the year 2016 to 2020:Year20162017201820192020Sales (in 000 Rs)50516075100Fit a trend line equation of given data. Calculate trend values and estimate sales for the year 2024.

Solve the following system of linear equations by using determinant or matrix method: 2x - y + 2z = -1 x - 2y + 3z = 4 4x + y + z = 4

A factory produces two types of electric lamps A and B. In an experiment relating to their life, the following results were obtained:Life (in years)Number of MotorsModel AModel B0 - 2542 - 411304 - 626126 - 81088 - 1086(a) Find which model of electrical lamp has greater uniformity of life? Give the reason (b) Calculate the combined standard deviation.

The following data shows the income distribution of families of a certain locality of a city. Calculate the coefficient of skewness and kurtosis and hence comment on the nature of the income distribution.Income (in millions Rs.)Number of Families10-20520-30930-401840-502650-602060-701270-80780-903

The following two way table shows the sales revenue (in lakhs Rs.) and advertising expenditure (in lakhs Rs.) of a company. Find correlation coefficient between them and interpret the result. Also test the significance of correlation coefficient. Estimate the sales revenue when advertising expenditure is Rs. 50 lakhsSales Revenue (in lakhs Rs)Advertising Expenditure (in lakhs Rs)5-1515-2525-3535-45Total75-125344819125-175865726175-225223411225-275332210Total1615142166