b. P(A) = 2P(B)
c. P(A) = 1 - P(B)
d. P(A) + P(B) > 1
e. P(A) - P(B) < 0
f. P(A) - P(B) > 1
Answer:
a. P(A) = P(B)
c. P(A) = 1 - P(B)
a and c are true . The rest are false.
Step-by-step explanation:
Two events A and B are said to be equally likely when one event is as likely to occur as the other. In other words each event should occur in equal number in repeated trials. For example when a fair coin is tossed the head is likely to appear as the tail, and the proportion of times each side is expected to appear is 1/2.
So when the events A= {1,3,4} B = {2,4,5} are equally likely then suppose their probability is 1/2.
a. P(A) = P(B) True
1/2= 1/2
b. P(A) = 2P(B) False
1/2 is not equal to 1
c. P(A) = 1 - P(B) True
1/2= 1-1/2= 1/2
d. P(A) + P(B) > 1 False
1/2 + 1/2 is not greater than 1
e. P(A) - P(B) < 0 False
1/2-1/2= 0 is not less than 0
f. P(A) - P(B) > 1 False
1/2-1/2= 0 is not greater than 1
The relationships between the probabilities are evaluated and explained.
a. P(A) = P(B) could possibly hold if P(A) = 1/3 and P(B) = 1/3.
b. P(A) = 2P(B) could not hold, as probabilities cannot exceed 1.
c. P(A) = 1 - P(B) could possibly hold if P(A) = 2/3 and P(B) = 1/3.
d. P(A) + P(B) > 1 could possibly hold if P(A) = 1/3 and P(B) = 1/2.
e. P(A) - P(B) < 0 could not hold, as the difference between probabilities cannot be negative.
f. P(A) - P(B) > 1 could not hold, as the difference between probabilities cannot exceed 1.
#SPJ3
Let f be a function given by f(x)=-4x-1.
Find and simplify f(x+3)
Answer:
f=-
Step-by-step explanation:
Divide each term in f(x+3)=−4x−1 by x+3 and simplify.
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Answer:
a
Step-by-step explanation:
Answer:
it's A or y=2x+3; y= -1/3x+3
-7
-5
5
7
Answer:
Jacob:
Alive 69-70
alive 79-80
alive 62-63
alive 73-74
alive 78-Died 79
Carol:
alive 88-89
alive 67-68
alive 99-100
alive 73-74
alive 94- Died 95
Step-by-step explanation:
The mean absolute deviation (MAD) of their ages is 19 and this can be determined by using the formula of mean absolute deviation.
Given :
Ages - 9 , 13 , 43 , 55
The meanabsolute deviation is given by the formula:
where n is the total number of data values, is the data value in the set, and m(X) is the average value of the data set.
So, to find MAD first evaluate the value of m(x).
m(X) = 30
Now, the MAD of their ages is:
MAD = 19
So, the mean absolute deviation (MAD) of their ages is 19.
For more information, refer to the link given below:
Answer:
The mean absolute deviation of this data is .
Step-by-step explanation:
The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
The steps to find the MAD include:
To find the mean absolute deviation of this data you must
Step 1: Calculate the mean.
Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference.
Step 3: Add the distances together.
Step 4: Divide the sum by the number of data points.