(Solved): If covariance of two random variables \( \mathrm{M} \) and \( \mathrm{N} \) is 0 . Then what can ...

If covariance of two random variables \( \mathrm{M} \) and \( \mathrm{N} \) is 0 . Then what can be concluded about lic relationship between \( \mathrm{M} \) and \( \mathrm{N} \) ? \( M \) and \( N \) are independent. \( \mathrm{M} \) and \( \mathrm{N} \) are linearly related. There is not enough information to determine a relationship between \( M \) and \( N \). \( \mathrm{M} \) and \( \mathrm{N} \) have a quadratic relationship. Which of the following can be said about the relationship between the sample variance \( \left(\mathrm{S}^{2}\right) \) and population variance \( \left(\sigma^{2}\right) ? \) \( S^{2} \) is an unbiased estimator of \( \sigma^{2} \) There is no relation between \( S^{2} \) and \( \sigma^{2} \). \( S^{2} \) is a biased estimator of \( \sigma^{2} \) \( S^{2} \) and \( \sigma^{2} \) are the same. Determine, among the given choices the more reasonable distribution to use for the given scenario. A certain medication, where \( 80 \% \) have reported symptomatic relief, is given to 10 new patients with allergies. The average number of views of a page on a Web site is \( 1.5 \) per minute. Bush hogs always have litters of 6 piglets. We count the number of males in a litter. The first digit of a part's serial number is equally likely to be any one of the digits 0 through \( 9 . \)