Answer: a) 0.0792 b) 0.264
Step-by-step explanation:
Let Event D = Families own a dog .
Event C = families own a cat .
Given : Probability that families own a dog : P(D)=0.36
Probability that families own a dog also own a cat : P(C|D)=0.22
Probability that families own a cat : P(C)= 0.30
a) Formula to find conditional probability :
(1)
Similarly ,

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792
b) Again, using (2)

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264
Answer:
Doesnt Have a matrix its singular I believe, But I can really help on that
Answer:
X=-2/5,7
Step-by-step explanation:
5x² – 33x - 14 = 0
5x^2-(35-2)x-14=0
5x^2-35x+2x-14=0
5x(x-7)+2(x-7)=0
(5x+2)(x-7)=0
X=-2/5,7
so the value of X is -2/5,7
Step-by-step explanation:
i)
2(x+2)=7
2x+4=7
2x=7-4
2x=3
x=3/2
ii)3x + y =8 , y=x
3x + x = 8
4x = 8
x = 2