Answer:
P(B|A)=0.25 , P(A|B) =0.5
Step-by-step explanation:
The question provides the following data:
P(A)= 0.8
P(B)= 0.4
P(A∩B) = 0.2
Since the question does not mention which of the conditional probabilities need to be found out, I will show the working to calculate both of them.
To calculate the probability that event B will occur given that A has already occurred (P(B|A) is read as the probability of event B given A) can be calculated as:
P(B|A) = P(A∩B)/P(A)
= (0.2) / (0.8)
P(B|A)=0.25
To calculate the probability that event A will occur given that B has already occurred (P(A|B) is read as the probability of event A given B) can be calculated as:
P(A|B) = P(A∩B)/P(B)
= (0.2)/(0.4)
P(A|B) =0.5
Are A and B supplementary or complementary
Answer:
30 cm^2
Step-by-step explanation:
a = 13 cm
b = 12 cm
using Pythagorean theorem:
a^2 = b^2 + c^2
--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25
--> c = √25 = 5
The area of that right triangle is:
S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)
Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample
