Respuesta :
Answer:
Step-by-step explanation:
Let A = research project will be well planned
B = research project will be well executed
P(A) = 0.8
P(B) = 0.9
P(AB) = 0.72
a) the probability a research project is well planned; or well executed; or well planned and well executed=[tex]P(AUB) = 0.8+0.9-0.72 =0.98[/tex]
(b) the probability a research project is only well planned or well executed but not well planned and well executed : [tex]=P(AUB) -P(AB) = 0.26[/tex]
c) the probabilit y a research project which is well planned will also be executed = P(AB) = 0.72
d) the probability a research project which is well executed will also be well planned = 0.72
e) the probability a research project is not planned and/or not well executed
[tex]= P(A'B') = 1-P(AUB) = 0.02[/tex]
f) the probability a research project is only well planned
[tex]= P(A)-P(AB) = 0.08[/tex]
g) the probability a research project is only well executed=P(B) = 0.9
h ) Are these two events (Well Planned / Well Executed) Mutually Exclusive?
No, since P(AB) is not 0
i ) Are these two events (Well Planned / Well Executed) Independent
Yes, since P(AB) = P(A) P(B)
