(1) Suppose the pdf of a random variable X is 0, otherwise. (a) Find P(2 < X < 3). (b) Find P(X < 1). (e) Find t such that P(X <t) = (d) After the value of X has been observed, let y be the integer closest to X. Find the PMF of the random variable y U (2) Suppose for constants n E R and c > 0, we have the function cr" ifa > 1 0, otherwise (a)...
4. Given the pd )if -1,2 0 otherwise. (a) Determine the proper value for c. (b) Find P(0 < X<1) (c) Find E(X) (d) Find E(X) and Var(X) 4. Given the pd )if -1,2 0 otherwise. (a) Determine the proper value for c. (b) Find P(0
Find the Laplace transform, F(s) of the function f(t) = e-4, t > 0 Preview F(s) = syntax error , s > – 4 Get help: Video Written Example Submit Question 2. Points possible: 2 License Unlimited attempts. Score on last attempt: 0. Score in gradebook: 0 Message instructor about this question
3. Consider the periodic signal x(t) = 0 otherwise (a) Plot r(t). (b) What is the period T of x(t)? (c) Find the CTFS coefficients ak for (t). 3. Consider the periodic signal x(t) = 0 otherwise (a) Plot r(t). (b) What is the period T of x(t)? (c) Find the CTFS coefficients ak for (t).
Problem 2. Consider a random variable with P(X10.4, P(X 0)0.3, P(X Find the median, cumulative distribution function, E[X], Var[x], EX4. 2) 0.3.
0, otherwise Let f(x,y)= 2. a. Sketch the region of integration b. Find k c. Find the marginal density of X d. Find the marginal density of Y e. Find P(Y > 0/X = 0.50) 0, otherwise Let f(x,y)= 2. a. Sketch the region of integration b. Find k c. Find the marginal density of X d. Find the marginal density of Y e. Find P(Y > 0/X = 0.50)
, then find exact values for the following: sec(0) equals Preview csc() equals Preview tan() equals Preview cot() equals Preview Get help: Video
Let f(z)-3- 1a + 14a. Calculate the following values: f(a) f(a + h) f(a + h) f(a) Preview Preview Preview for h 0 Find all real solutions of the equation 2(t +1) 10 14 Write out the exact answers (no decimal values), with answers separated by a comma. Preview Let f(z)-3- 1a + 14a. Calculate the following values: f(a) f(a + h) f(a + h) f(a) Preview Preview Preview for h 0 Find all real solutions of the equation 2(t...
-l 2. Consider the continuous-time signal: 0 x(t)- 1sts1 0, otherwise Find the Fourier transform X(a) of x(t). Simplify ths expression as much as po e simplest expression does not involve any complex numbers.) Draw a rough plot of o) as a function of w. Identify the peak value of X(w). Identify the location of the X( first null on either side of the vertical axis.
Given f(t) = At what value of t does the local max of f(t) occur? 1 + cos2 (x Preview Given f(t) = At what value of t does the local max of f(t) occur? 1 + cos2 (x Preview