Fundamentals Of Statistics — DU B. Voc – Web Designing Previous Year Question Papers

(b) A fair coin tossed 10 times, find the probability (i) Exact six heads (ii) At least six heads (iii) At most six heads. 7. Do the following parts: (9x2) (a) Find the (i) first; (ii) second; (iii) third; (iv) fourth moments for the numbers: 5, 8, 12, 14, 16. (b) Find the mean deviation from the median, interquartile range and coefficient of quartile deviation for the following distribution of marks: I. Do the following parts: (9x2) (a) Define mean and discuss the properties of mean. (b) Distinguish between discrete and continuous data with the help of suitable examples.. .€€. .. 2. Do the following parts: (9x2) (a) Calculate the standard deviation of the following values of the world's annual gold output (in millions of pounds) of 19 different years : (b) Briefly discuss the multiplication rule of probability. 3. Do the following parts: (9x2) (a) Differentiate between correlation and regression. (b) Define kurtosis and give the formula for measure of kurtosis. Also, calculate Karl Pearson's first coefficient of skewness for the following distribution : 4. Do the following parts: (9x2) (a) Suppose that the probability model of X is given by (i) Find the value of k so that fx(x) is a pdf. (b) A certain kind of sheet metal has, on the average, five defects per 10 square feet. If we assume a passion distribution, what is the probability that a 15 square feet sheet of metal will have at least six defects. 5. Do the following parts: (9x2) (a) Explain the properties of regression coefficient. (b) If X is normally distributed with mean 1 and standard deviation 2, find 6. Do the following parts: _ (9x2) (a) Draw less than and more than ogive curve for the following data