1.
E(Z)=E(2X-Y+3)=2E(X)-E(Y)+3=2*2-1+3=6
D(Z)=D(2X-Y+3)=2^2D(X)+D(Y)=4*1+2=6
故Z~N(6,6)
故f(z)=1/(根号(12π))*e^[-(x-6)^2/12]
2.由0.1+0.3+0.1+a+0.2=1
得a=0.3
则P(0<X≤2)=0.1+0.3=0.4
1.
E(Z)=E(2X-Y+3)=2E(X)-E(Y)+3=2*2-1+3=6
D(Z)=D(2X-Y+3)=2^2D(X)+D(Y)=4*1+2=6
故Z~N(6,6)
故f(z)=1/(根号(12π))*e^[-(x-6)^2/12]
2.由0.1+0.3+0.1+a+0.2=1
得a=0.3
则P(0<X≤2)=0.1+0.3=0.4