Answer:

Step-by-step explanation:
We are given the following in the question:
x: −4 −3 −2 −1 0
P(X=x): 0.2 0.3 0.1 0.2 0.2
We have to evaluate

Since it is a discrete probability distribution as

We can evaluate the probability as:

Thus, 0.4 is the require probability.
What is the mode of the following set of data? 34, 23, 12, 11, 11, 25, 25, 26, 25, 27, 30
Olin [163]
1 - B
Mode - The mode the number that appears most often in a data set. In this question, 25 was repeated 3 times and no other ones where repeated 3 times. Thats why 25 is the mode.
2 - D
Median - The middle number of a data set that is arranged from least to greatest.
3 - True
There is no mode because all of the numbers only appear once.
4 - A
5 - C
Answer:
Mean = 113.72
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
Step-by-step explanation:
Data provided in the question:
Data:
82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146
Number of data = 33
In the hint it is also given that the sum of the data value i.e ∑x = 3753
Now,
Point estimate of mean is given as;
Mean =
or
⇒ Mean =
or
⇒ Mean = 113.72
Hence,
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
Answer:
The answer is $480
Step-by-step explanation:
1,200 multiplied by 5% = 60 and 60 multiplied by 8 = 480
Subtract 3/4x from both sides
1/3x-4-3/4x= 3/4x+1-3/4x
-5/12x-4=1
Add 4 to both sides
-5/12x-4+4=1+4
-5/12x=5
Multiply both sides by 12/(-5)
(12/-5)*(-5/12x)= (12/-5)*(5)
x= 12
I hope that's help.