Answer:
0.632
Step-by-step explanation:
Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage
If probability of purchasing additional electronics coverage = p, then prob of purchasing jewelry coverage = 3p
The two events are independent hence joint probability is product of these two.
i.e. P(both) = ![p(3p) =3p^2](https://tex.z-dn.net/?f=p%283p%29%20%3D3p%5E2)
This is given as 0.2
![3p^2 =0.2\\p = 0.258](https://tex.z-dn.net/?f=3p%5E2%20%3D0.2%5C%5Cp%20%3D%200.258)
the probability that a homeowner purchases exactly one coverage.
![=P(AUB)-P(A \bigcap B)](https://tex.z-dn.net/?f=%3DP%28AUB%29-P%28A%20%5Cbigcap%20B%29)
= Prob he purchases I + prob he purchases II-2(prob he purchases both)
![= 0.258+3(0.258)-2(0.2)\\=0.632](https://tex.z-dn.net/?f=%3D%200.258%2B3%280.258%29-2%280.2%29%5C%5C%3D0.632)
(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3
y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b
so ur equation is : y = 3x - 4