Answer: 1/2
Step-by-step explanation:
First step: we will use Tchebyscheff's theorem. The theorem can help us to explain random variables with finite variance as well as mean.
P (|Y-u| < or equals to 1) | > or equals to 0.75
= 1 - 1/2
Therefore, w= 2
Step 2: we use Tchebyscheff's inequality, which is:
= -2¶ + u < y < 2¶ + u
Therefore, we have; --2¶ + u
= 1 + u
1= K¶
¶ = 1/2.
Please take note that ¶ is represented as sigma symbol.
Since I can't get the symbol here with me. Also the u repres represent 'micro' symbol
The answer is 5216. I think
<h2>Answer:</h2>
A.
Let Annie's weight be = a
Let Benjie's weighs = b
Let Carmen's weight be = c
One day Annie weighed 24 ounces more than Benjie, equation forms:
......(1)
Benjie weighed 3 1/4 pounds less than Carmen.
In ounces:
1 pound = 16 ounces
pounds = 
ounces
or
......(2)
Now adding (1) and (2), we get
a+b=b+24+c-52
=> 
This gives Annie weighs 28 ounces less than Carmen.
B.
We cannot know anyone's actual weight, as we only know their relative weights.
Answer:
The closest to the maximum profit is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows
=> 
From the z-table the z-score for 0.20 is
So
=>
A. The mean and standard deviation.
The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.
The standard deviation of a sample distribution is equal to,
u(m) = u/sqrt n
Substituting the known values,
u(m) = 6.9 / sqrt 25 = 1.38
b. Get the z-score of both items,
z-score = (data point - mean) / standard deviation
z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.
z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.
The difference between the two z-scores is 0.762.
The number of samples with this height is 0.762(200) which is equal to approximately 152.
c. z-score of 172 centimeters
z-score = (172 - 174.5) / 1.38
z-score = -1.81
This translates to 0.03.
The number of people with this height from the sample is (0.03)(200) = 6
