Let R and a be real numbers such that 0 < a < R. Let S be the surface parametrized by r(u, v) = (R+ a cos(u)) cos(v)i + (R+a cos(u)) sin(v)j+a sin(u)k, where 0 < u < 2n and 0 < v < 2n. (a) Describe and draw S. (b) Find the surface area of S. ? + y²) do. (x2. (c) Evaluate

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.