Use a calculator to approximate the value of the expression, if possible. Round your result to two decimal places. (Enter your answer in radians. If not possible, enter IMPOSSIBLE arctan(-1)

Q: Find the magnitude and direction angle of the vector v. v = 5i – 5j magnitude direction angle

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: Find u · v. u = 8i – 5j v = i - j V u•v =

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Q: Find u + v, u – v, and 3u – 4v. Then sketch each resultant vector. (0, -6), v = (1, –2) u = (a) u +…

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Q: Verify the identity. (Simplify at each step.) seco x(sec x tan x) – sec x(sec x tan x) = sec5 x tan3…

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Q: For the position function of a ball given by s (t) = 64 – 16(t – 1), find the most simplified…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!