Look up Bombay Stock Exchange www.bseindia.com and Nantional Stock Exchange www.nseindia.com for beta values of Indian companies.
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The probability that a statistical that will give give a false negative error.
Beta is just the slope (B0 is the y-intercept), and you have Bn coefficients where n is the number of regressors. In other words, it is the amount of change in y you would expect with a given change in x. When you deal with multiple regression, you will have a matrix (just one column though, so a vector) of beta values corresponding to your regressors.
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No. For a convex combination of distributions, the density is also a convex combination of the individual densities and one can easilly check that the convex combination of beta densities is not again a beta density.