Step-by-step explanation:
<em>H</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>i</em><em>s</em><em> </em><em>h</em><em>e</em><em>l</em><em>p</em><em>f</em><em>u</em><em>l</em><em>.</em>
<em>T</em><em>h</em><em>a</em><em>n</em><em>k</em><em> </em><em>y</em><em>o</em><em>u</em><em>.</em>
Answer:
a. The probability is not equal to 1
b. P (A') = 0.70
c. P ( A U B ) = 0.80
d. P ( A' ∩ B' ) = 0.20
Step-by-step explanation:
a. Because these A and B are disjoint
b. since the probability of A is 0.30 then the probability of A compliment is
P(A compliment ) = 1 - P (A)
P(A compliment ) = 1-0.30
P(A compliment ) = 0.70
c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;
P ( A U B ) = P (A) + P(B) - P(A∩ B)
P ( A U B ) = 0.30 + 0.50 - 0
P ( A U B ) = 0.80
d. The inetrsection of compilments of A and B are:
by using De Morgan's Law we have,
P ( A' ∩ B' ) = P [(A U B )']
P ( A' ∩ B' ) = 1 - P ( A U B )
P ( A' ∩ B' ) = 1 - 0.80
P ( A' ∩ B' ) = 0.20
F = d + e + t Flip the sides to put t on the left
d + e + t = F Subtract d from both sides
e + t = F - d Subtract e from both sides
t = F - d - e
186.822222222 is ur answer.
