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
One equation is Y - 11 = -7/2(x + 3), while the other is y + 3 = -7/2(x - 1).
Let x denote the quarts of Tuscan sauce and
y denote the quarts of marinara sauce that Tiffany produces.
Each quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil
Hence, x quarts need 6x tomatoes and 1x cups of oil
For marinara sauce, a quart requires 5 tomatoes and 1.25 cups of oil
Thus, y quarts will require 5y tomatoes and 1.25y cups of oil
She has a stock of 45 tomatoes and 10 cups of oil available.
The constraints are:
x>=0 and y>=0
Step-by-step explanation:
Subtracting the four remaining players from the initial count gives us 117 – 4 = 113 players who have been eliminated.
Answer:
a. A relative-frequency distribution relates to a variable just as a _____probability_____ distribution relates to a random variable. b. A relative-frequency histogram pertains to a variable similarly to how a _____probability_____ histogram pertains to a random variable.
Step-by-step explanation:
Probability, a mathematical concept, involves numerical assessments of how likely a certain event may occur, indicating the validity of its occurrence. The range for the probability of any event is typically between 0 and 1,
with 0 signifying impossibility and 1 indicating certainty of occurrence.
