Evaluate 3|-3|. helppppppppppp
2 answers:
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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:
Answer:
1120 Eagles
Step-by-step explanation:
If the population of Eagles decreases by 4% percent each year, then in 2030 (which is 15 years later), the population would decrease by (4 × 15)%
that is 60%
This indicates that the population of bald eagles in the year 2030 would be 60% less of what it was in the year 2015.
so we have, × 2800
which gives us 1680
this means that the number of bald eagles in the year 2030 would be 1680 less than the number of bald eagles in the year 2015
hence 2800 - 1680
then the answer is 1120 Bald Eagles