If the moment-generating function of a random variable X is Mx(t)=(1-5t (a) Find E(X). (b) Find a mode.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.3. Consider this function: g(x) = (x - 273) + 32 . (a) Determine the function which will 'undo' everything this original equation does. All work must be shown! tool.] (b) Describe a way you could "test" your equation in part (a) to see if it truly will 'undo' the original function. [ (c) The original equation is not random! That given equation will convert from a = a known temperature in degrees Kelvin into g(x) =equivalent temperature in degrees Fahrenheit.Unif (-1,1). Compute (a) E(X), (b) var(X), (c) P(-2 0.5). Exercise 1. Suppose that X N
- (4) If a point x is taken at random on the interval [0, 2a] and all the points are equally likely to be taken, the probability that the product x(2a - x) > is 2 (a) √/1/2 (b) / O e √2Q3. (a) Define a function g(x) of a random [ 1; if x2X, 0; otherwise variables by g(x)% = Where x, is a real number -o< X, <∞ Show that E [g (X)] = 1-F, (x,)How do I get N(t)?
