Express the given percent as a decimal.1/2% (Round to five decimal places as needed.)
1 answer:
Answer:
The required expression is
Step-by-step explanation:
Given : Percentage
To find : Express the given percent as a decimal ?
Solution :
To convert percentage into decimal,
To remove percentage sign we divide the given number by 100.
So,
Remove percentage,
Now, Put decimal after three digit
As we have to round it to five decimal places,
Therefore, The required expression is
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Answer:
Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Data given
n = 25000 represent the automobile policy holders
represent the population mean
represent the population standard deviation
Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:
From the central limit theorem we know that the distribution for the sample mean is given by:
Solution to the problem
First we need to find the distribution for the random variable T like this:
And the total T is given by:
We can find the expected value, variance and deviation for this random variable like this:
And we are interested on this probability:
And we can use the Z score formula given by: