a) Note that the support of the conditional distribution of X given Y depends on Y, and thus the RVs are not independent.
b) Let S denote the event that a person is smoker and ~S denote its conplement.
Then, we have P(S) = 0.2, P(~S) = 0.8, P(A|S) = 0.1, P(A|~S) = 0.005
We are required to find
P(A) = P(A|S)P(S)+P(A|~S)P(~S) [Law of total probability]
= 0.1x 0.2 + 0.005x0.8 = 0.024 (Ans.)
Question 1) (60 Marks) a) Given the joint pdf of the continuous RVS X and Y:...
Question 1) (60 Marks) a) Given the joint pdf of the continuous RVs X and Y: fxy(x,y) = c for the region {0 Sxs y,o s y s 1} and zero elsewhere.Where “c” is a constant. Determine if the RV X and Y are independent. (30 Marks) b) Given the following information. For a certain form of illness, (call the illness “A”), the likelihood of having the illness is 0.1 if the person is a smoker and 0.005 if the...
a) Given the joint pdf of the continuous RVs X and Y: fxy(x, y) = c for the region {0 sxs y,0 s y s 1} and zero elsewhere.Where “c” is a constant. Determine if the RV X and Y are independent. (30 Marks) b) Given the following information. For a certain form of illness, (call the illness “A”), the likelihood of having the illness is 0.1 if the person is a smoker and 0.005 if the person is not...
a) Given the joint pdf of the continuous RVs X and Y:fxy(x,y) = c for the region {0 sxs y, o sy s 1} and zero elsewhere. Where “c” is a constant. Determine if the RV X and Y are independent. (30 Marks) b) Given the following information. For a certain form of illness, (call the illness “A”), the likelihood of having the illness is 0.1 if the person is a smoker and 0.005 if the person is not a...
Question 1) (60 Marks) a) Given the joint pdf of the continuous RVs X and Y: ???(?, ?) = ? ??? ?ℎ? ?????? {0 ≤ ? ≤ ?, 0 ≤ ? ≤ 1} ??? ???? ?????ℎ???.Where “c” is a constant. Determine if the RV X and Y are independent. (30 Marks) b) Given the following information. For a certain form of illness, (call the illness “A”), the likelihood of having the illness is 0.1 if the person is a smoker...
need urgent, no need to write it neat and clean, just send solutions in 10 to 15 minutes.. b0bGr.. Question 1) (60 Marks) a) Given the joint pdf of the continuous RVs X and Y: fxy(x, y) = c for the region {0 sxs y, 0 sy s 1} and zero elsewhere.Where "c" is a constant. Determine if the RV X and Y are independent. (30 Marks) b) Given the following information. For a certain form of illness, (call...
Given the joint pdf of the continuous RVs X and Y: fxy(x, y) = c for the region {0 sxs y,0 < y < 1} and zero elsewhere.Where “c” is a constant. Determine if the RV X and Y are independent. (30 Marks)
Given the joint pdf of the continuous RVs X and Y: fxy(x, y) = c for the region {0 sxs y,0 s y < 1} and zero elsewhere.Where “c” is a constant. Determine if the RV X and Y are independent. (30 Marks)
Given the joint pdf of the continuous RVs X and Y: fxy(x, y) = c for the region {0 sxs yo sy s 1} and zero elsewhere.Where “c” is a constant. Determine if the RV X and Y are independent.
a) Given the joint pdf of the continuous RVs X and Y:fxy(x, y) = c for the region {0 sxs y, 0 sy s 1} and zero elsewhere.Where "c" is a constant. Determine if the RV X and Y are independent. (30 Marks)
Given the joint pdf of the continuous RVs X and Y: fxy(x,y)=c for the region {0sxsy,Osys1} and zero elsewhere.Where "c" is a constant. Determine if the RV X and Y are independent I