Business Statistics - Study Mode

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[#231] A train arrives at a commuting station on time on an average of 8 out of 10 days. What is the probability that in a given week of 5 working days, the train will not arrive on time 2 of the 5 days?

(A) 0.364

(B) 0.368

(C) 0.2048

(D) 3.46

Correct Answer

(C) 0.2048

[#232] Out of 10,000 students in a university, a sample of 400 is taken, the monthly average of the expenditure of these 400 students is found to be Rs. 75 and the standard deviation Rs. 2.50. Set the limits within the average of additional sample would be

(A) 192

(B) 0.125

(C) 163

(D) 125

Correct Answer

(B) 0.125

[#233] Statement I Both the probable error and standard error of the coefficient of correlation are different. Statement II When a sampling distribution of mean is prepared by taking small sized samples from a normally distributed population, the distribution takes the shape of normal distribution.

(A) Both Statements are correct

(B) Both Statements are incorrect

(C) Statement I is correct, while Statement II is incorrect

(D) Statement I is incorrect, while Statement II is correct

Correct Answer

(A) Both Statements are correct

[#234] Under Binomial distribution standard deviation ($$sigma $$) can be computed by

(A) $$sigma = frac{{sqrt {npq} left( {1 - p} ight) imes 100}}{2}$$

(B) $$sigma = frac{{n + 1 - p}}{n}$$

(C) $$sigma = sqrt {npq} $$

(D) $$sigma = frac{{n + p}}{n}$$

Correct Answer

(C) $$sigma = sqrt {npq} $$

[#235] Statement I The product of coefficient of correlation, standard deviation of variable 'X' and Standard deviation of variable 'Y' gives the measure of covariance between X and Y variables. Statement II The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.

(A) Both statements are correct

(B) Both statements are incorrect

(C) Statement I is correct while Statement II is incorrect

(D) Statement I is incorrect while Statement II is correct

Correct Answer

(A) Both statements are correct