The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively. let a denote the event {a, b, c}, and let b denote the event {c, d, e}. determine the following:
(a) p(a)
(b) p(b)
(c) p(a’)
(d) p(aub)
(e) p(anb)

a) 0.4

b) 0.8

c) 0.6

d) 1

e) 0.2

Step-by-step explanation:

a)P(A) = P({a,b,c}) = 0.1 + 0.1 + 0.2 = 0.4

b) P(B) = P({c,d,e}) = 0.2 + 0.4 + 0.2 = 0.8

c) P(A') = 1 - P(A) = 1 - 0.4 = 0.6

d) P(AUB) = P({a,b,c}U{c,d,e}) = P({a,b,c,d,e}) = 0.1 + 0.1 + 0.2 + 0.4 + 0.2 = 1

e) P(AnB) = P({a,b,c}n{c,d,e}) = P({e}) = 0.2

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right