The following information about advertising expenditures and sales of a company is given below:
| Advertising
| Sales (y) Lakhs ( | |
| Average | 10 | 90 |
| Variance | 9 | 144 |
| Correlation Coefficient between x and y is 0.8. | ||
What should be the advertising budget if the company wants to attain sales target of 
120 Lakhs?
To determine the advertising budget required to achieve a sales target of 120 Lakhs, we can use the concept of linear regression. The relationship between advertising expenditure (\(x\)) and sales (\(y\)) can be modeled as: \[ y = a + b x \] where: - \(a\) is the y-intercept, - \(b\) is the slope of the regression line. Given the data: - Average advertising expenditure (\(\bar{x}\)) = 10 Lakhs, - Average sales (\(\bar{y}\)) = 90 Lakhs, - _________ _______ ________ __________ _________ _____ ____ ___.
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An unbiased die is rolled twice. Let denote the event: odd face roll on the first die,
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and .
A single observation was taken from a population with p.d.f.
Obtain confidence interval for θ.
Show that variance can be expressed in terms of the mutual differences of the observations i.e.
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| Category: | A | B | C | D |
| Proportion: | 0.87 | 0.009 | 0.003 | 0.01 |
| Category: | A | B | C | D |
| No. of thermometers Reported: | 1188 | 91 | 47 | 10 |
The probability that a student passes a Physics test is
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a) Find the mean and standard deviation for the following data:
| Class interval | Frequency |
| 0 – 10 | 5 |
| 10 – 20 | 10 |
| 20 – 30 | 14 |
| 30 – 40 | 15 |
| 40 – 50 | 6 |
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