Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example 5.]
Outcome | a | b | c | d | e |
---|---|---|---|---|---|
Probability | 0.1 | 0.05 | 0.4 | 0.05 |
(a) P({a, c, e})
P({a, c, e}) =
(b) P(E ∪ F),
where E = {a, c, e} and F = {b, c, e}
P(E ∪ F) =
(c) P(E'), where
E is as in part (b)
P(E') =
(d) P(E ∩ F ),
where E and F are as in part (b)
P(E ∩ F) =
P(e)=1-(P(a)+P(b)+P(c)+P(d))
=1-(0.1+0.05+0.4+0.05)=0.4
a)
P({a,c,e}) = P(a)+P(c)+P(e)
=0.1+0.4+0.4=0.9
b)
P(E ∪ F) = P(a,b,c,e)
P(a)+P(b)+P(c)+P(e) = 0.6
c)
P(E')=P(b,d)
=0.05+0.05=0.1
d)
P(E ∩ F) = P({c,e})
=0.4+0.4 = 0.8
Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example...
Complete the following probability distribution table and then calculate the stated probabilities. HINT [See Quick Example 5.] Outcome a b c d e Probability 0.1 0.01 0.4 0.09 (a) P({a, c, e}) P({a, c, e}) = (b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e} P(E ∪ F) = (c) P(E'), where E is as in part (b) P(E') = (d) P(E ∩ F ), where E and F are as in part (b) P(E ∩ F)...
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