1) Let RVs X and Y have the following joint pdf if 0 x 4 1,-1 < y s1 f(x, y) 1 if 1 x 2,1 < ys3 4 otherwise a) Determine and plot the marginal pdfs f(x) and fy). Show your work. b) Determine P{X> 0, Y < 2}. Show your work
1) Let RVs X and Y have the following joint pdf if 0 x 4 1,-1 < y s1 f(x, y) 1 if 1 x 2,1 < ys3 4 otherwise a) Determine and plot the marginal pdfs f(x) and fy). Show your work. b) Determine P{X> 0, Y < 2}. Show your work
1) Let RVs X and Y have the following joint pdf if 0 x 4 1,-1 < y s1 f(x, y) 1 if 1 x 2,1 < ys3 4 otherwise a) Determine and plot the marginal pdfs f(x) and fy). Show your work. b) Determine P{X> 0, Y < 2}. Show your work
a) Determine and plot the marginal pdfs f(x) and f(y). Show your work.
b) Determine P{X > 0, Y < 2}. Show your work.
Transcribed Image Text:1) Let RVs X and Y have the following joint pdf
if 0 x
4
1,-1 < y s1
f(x, y)
1
if 1 x 2,1 < ys3
4
otherwise
a) Determine and plot the marginal pdfs f(x) and fy). Show your work.
b) Determine P{X> 0, Y < 2}. Show your work
Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.
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