Question
Solve the following examples: : If the total cost function is given by; $C=5 x^3+7 x^2+7$; find the average cost and the marginal cost when $x=4$.
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| Size Of Shoes | 2 | 4 | 3 | 5 | 7 | 6 | 8 |
| No. Of Days | 14 | 20 | 13 | 19 | 13 | 13 | 8 |
| Marks in statistics (x) | 37 | 20 | 46 | 28 | 35 | 26 | 41 | 48 | 32 | 23 | 20 | 39 | 47 | 33 | 27 | 26 |
| Marks in english (y) | 30 | 32 | 41 | 33 | 29 | 43 | 30 | 21 | 44 | 38 | 47 | 24 | 32 | 31 | 20 | 21 |
Construct a bivariate frequency distribution table for the above data by taking class intervals 20 – 30, 30 – 40, …. etc. for both X and Y. Also find the marginal distributions and conditional frequency distribution of Y when X lies between 30 – 40.