Business Statistics TU Board 2078 question paper

Find the combined mean from the following data:GroupABCNumber200250300Mean251015

Coefficient of variation of a distribution is found to be 20% and variance of distribution is 36. Find the mean value of the distribution.

Find the Karl Pearson's Coefficient of Skewness, when mean = 45, mode = 48 and standard deviation = 15.

If P(A) = 0.6, P(B) = 0.56 and P(A∪B) = 0.75 find P(A∩B). Where A and B are not disjoint events.

The quartile deviation of a distribution is 2 and the difference between P9 and P10 is 8. Calculate the coefficient of Kurtosis.

Calculate coefficient of correlation between X and Y if the regression coefficient of Y on X is -0.667 and regression coefficient of X on Y is -0.75.

Find the simple aggregative price index number for the year 2021:CommoditiesABCDEPrice in 20201020181512Price in 20211522202218

What are the components of a time series.

Find the value of determinant:156237356

7 8 6 3 Find 7(A - B) where A = 9 10 and B = 3 2 2 5 7 5

Calculate the Karl Pearson's Coefficient of Skewness and interpret the result.Class0-1010-2020-3030-4040-5050-6060-7070-80Freq.4514172518107

Solve the following equations by using determinant or matrix method: 2x + 2y + z = 5 4x + 2y + 3z = 10 x + 3y + 4z = 7

Following two groups of samples describes the age of the students in regular morning MBS program and evening MBS program of National College. If homogeneity of the class is a positive factor for learning which of the two programs will be easier to teach.24302823252226272825Evening MBS24302823252226272825Morning MBS28273433292728293326

The following table gives the changes in the price and the consumption (quantity) of certain major constituents of the consumption basket of the labor class.CommodityUnit20202021PriceQtyPriceQtyWheatQuintals10001011006RiceQuintals150015170018ClothMeters50504030

(a) The probability that a boy will get a scholarship is 0.9 and that a girl will get is 0.8. What is the probability that at least one of them will get the scholarship? (b) The following table is the conditional payoff table:StrategyN₀(10)N₁(11)N₂(12)N₃(13)N₄(14)S₁(10)400400400400400S₁(11)380440440440440S₁(12)360420480480480S₁(13)340400460520520S₁(14)320380440500560What will be your decision if: (i) Maximax criterion is used (ii) Maximin criterion is used (iii) Minimax regret criterion is used

Solve the following Linear Programming problem graphically: Maximize Z = 30x + 50y Subject to constraints: x + y ≤ 30 x + 2y ≤ 40 and x ≥ 0, y ≥ 0

Test for the normality of these two distributions of wages (in Rs.) and interpret the result on the basis of the information given below:Daily wages in Rs.No. of Workers XNo. of Workers Y20 - 30152530 - 40304040 - 50446050 - 60603560 - 70302070 - 80141580 - 9075

Before and after the implementation of an economic program to uplift the economic condition of a community following information were found.Monthly Income (in Rs. '00)Prior to the plan No. of familiesAfter the plan No. of families4 - 610656 - 870-8 - 10353710 - 12201512 - 14101514 - 163516 - 1825a. Find the highest income of the poorest 40% of the population before and after the plan. b. Find the lowest income of richest 40% of the population before and after the plan. c. Obtain the limits of income of middle 50% of families before and after the plan.

The income and expenditure of 100 families is given below:Income (Rs)Expenditure (Rs)0 - 500500 - 10001000 - 15001500- 20000 - 1000---31000 - 2000-4942000 - 30003101983000 - 4000761254000 - 500097--Find (a) Two regression co-efficient. (b) Co-efficient of correlation between income and expenditure. (c) Estimate the expenditure when income is Rs 10,000.