We have:
Event A ⇒ P(A) = 0.16
Event B ⇒ P(B) = 0.09
Probability of event B given event A happening, P(B|A) = P(A∩B) / P(A) = 0.12
By the conditional probability, the probability of event A and event B happens together is given by:
P(B|A) = P(A∩B) ÷ P(A)
P(B|A) = P(A∩B) ÷ 0.16
0.12 = P(A∩B) ÷ 0.16
P(A∩B) = 0.12 × 0.16
P(A∩B) = 0.0192
When two events are independent, P(A) × P(B) = P(A∩B) so if P(A∩B) = 0.0192, then P(B) will be 0.0192 ÷ 0.16 = 0.12 (which take us back to P(B|A))
Since P(B|A) does not equal to P(B), event A and event B are not independent.
Answer: <span>Events A and B are not independent because P(B|A) ≠ P(B)</span>
To help you understand this, it is helpful to create a sample set of data:
__,__,__,(Q1 is here)__,__,__,(median is here)__, __,__,(Q3is here)__,__,__
A. The first 3 lines are 3 pieces of data in the first quartile.
B. here are 6 pieces of data between the 1st and 3rd quartiles.
D. There are 3 pieces of data in the upper quartile.
<h3>
Answer: 24 yards, choice D</h3>
There are 4 sides to this figure (trapezoid). The left slanted side and the right most vertical side, combined with the top and bottom horizontal sides, will get us the perimeter.
left slanted side = 5 yards
right most vertical side = 4 yards (see note below)
bottom side = 9 yards
top side = 6 yards
Add up the four sides mentioned: 5+4+9+6 = 9+15 = 24
note: the rectangle has opposite sides that are the same length. While the right most side isn't labeled, it is the same length as the left side of the rectangle, so both are 4 yards long.
Another thing I should probably mention is that we do not add in the interior 4 yard side. The perimeter is only the outer or exterior sides we care about. Think of it like we're trying to fence around some property lot and we don't want to subdivide the property up. Finding the perimeter will help us find the amount of fencing needed to surround the property.
Answer:
0.153
Step-by-step explanation:
Chjmk
In this question, we are asked to calculate the probability of selecting a sunflower greater than a particular height.
What to do in this case is to first find the z-score based on this information given.
Mathematically,
Z-score = x- mean/standard deviation
Here, z-score will have a value of;
(16.4-14.2)/2.15 = 1.023
Therefore,
P(height >16.4ft) = P(Zscore >1.023) = 1-Fz(1.023) = 0.153
Answer:
The first one is ur answer
Step-by-step explanation:
