Answer:
X ____ : 0 ______ 1.4 _____ 2 _____ 3
P(X) ___ 1/3 _____ 1/3 _____ 1/6 ____ 1/6 ;
0 ;
1/2 ;
0 ;
2/3 ;
1/2
Step-by-step explanation:
Each has the same probability ;
X ___ : 0 ___ 0 ___ 1.4 ____1.4 ___ 2 ___ 3
P(x) __ 1/6 __1/6 ___ 1/6 ___ 1/6 ___1/6 __ 1/6
Probability : required outcome / Total possible outcomes
X = 0
P(x = 0) = 1/6 + 1/6 = 2/6 = 1/3
X = 1.4
P(x = 1.4) = 1/6 + 1/6 = 2/6 = 1/3
X = 2
P(X) = 1/6
X = 3
P(x) = 1/6
Hence ;
X ____ : 0 ______ 1.4 _____ 2 _____ 3
P(X) ___ 1/3 _____ 1/3 _____ 1/6 ____ 1/6
A) P(X = 1.6).B) P(0.5 < X < 2.7).C) P(X > 3).D) P(0 ≤ X < 2).E) P(X = 0 or X = 2).
A.)
P(X = 1.6) = 0
B.)
P(0.5 < X < 2.7) = p(x = 1.4) + p(x = 2)
P(0.5 < X < 2.7) = 1/3 + 1/6 = (2 + 1) / 6 = 3/6 = 1/2
C.)
P(X > 3) = 0
D.)
P(0 ≤ X < 2) = P(0) + P(1.4)
P(0) + P(1.4) = 1/3 + 1/3 = 2/3
E.)
P(X = 0 or X = 2) = 1/3 + 1/6 = (2 + 1)/6 = 3/6 = 1/2
