4.3-10 **4.3-9.** Let \( X \) and \( Y \) have a uniform distribution on the set of points with integer coordinates in \( S = \{(x, y): 0 \leq x \leq 7, x \leq y \leq x + 2\} \). That is, \( f(x, y) = 1/24 \), \( (x, y) \in S \), and both \( x \) and \( y \) are integers. Find:(a) \( f_X(x) \).(b) \( h(y | x) \).(c) \( E(Y | x) \).(d) \( \sigma_{Y|x}^2 \).(e) \( f_Y(y) \).**4.3-10.** Let \( f_X(x) = 1/10 \), \( x = 0, 1, 2, \ldots, 9 \), and \( h(y | x) = 1/(10-x), y = x+1, \ldots, 9 \). Find:(a) \( f(x, y) \).(b) \( f_Y(y) \).(c) \( E(Y | x) \).**4.3-11.** Suppose that \( X \) has a geometric distribution with parameter \( p \), and suppose the conditional distribution of

Name: 4.3-10 **4.3-9.** Let \( X \) and \( Y \) have a uniform distribution
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 4.3-10 **4.3-9.** Let \( X \) and \( Y \) have a uniform distribution on the set of points with integer coordinates in \( S = \{(x, y): 0 \leq x \leq 7, x \leq y \leq x + 2\} \). That is, \( f(x, y) = 1/24 \), \( (x, y) \in S \), and both \( x \) and