Answer:
The likelihood that the rock contains raritanium is 0.9670
Step-by-step explanation:
Define the following events
Z: the sample contains raritanium
Y: the detector's reading is positive
Z': the sample does not have raritanium
Y': the detector's reading is negative
P(z) = 0.13
P(y'/z) = 0.02
P(y/z')= 0.005
We aim to determine p(z/y)
= p(z/y) = p(z ∩ y)/p(y)
= P(z) - p(z∩y)/0.13 = 0.02
Keep in mind p(z) = 0.13
Applying cross multiplication gives us
0.13 - p(z ∩ y) = 0.02 x 0.13
0.13 - p(z ∩ y) = 0.0026
-p(z ∩ y) = 0.0026 - 0.13
Therefore,
p(z ∩ y) = 0.1274
P(y/z')= 0.005
P(z∩y') = 0.005
Since p(z) = 0.13
P(z') = 1-0.13
P(y) - p(z∩y)/0.87 = 0.005
Cross multiplying gives
P(y) - 0.1274 = 0.005x0.87
P(y) = 0.1274+0.00435
P(y) = 0.13175
We assess 0.1274/0.13175
= 0.9670
Hence, we conclude that the probability of the rock containing raritanium is 0.9670
Answer:
220 items must be sold to achieve break-even.
Step-by-step explanation:
550 + 3.00x = 5.50x
550 = 2.50x
220 = x
Answer:
C.7
Step-by-step explanation:
The world consists of a continuous expanse of land.
This land is categorized into various regions referred to as the continents.
There are seven continents on Earth, which are as follows:
1) Asia
2) Africa
3) North America
4) South America
5) Antarctica
6) Europe
7) Australia.
