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Thisisdifinite
21.04.2020 •
Mathematics
The Colorado Mining and Mineral Company has 1000 employees engaged in its mining operations. It has been estimated that the probability of a worker meeting with an accident during a 1-yr period is 0.08. What is the probability that more than 70 workers will meet with an accident during the 1-yr period
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Ответ:
The probability that more than 70 workers will be involved in an accident is 0.8665
The given parameters are:
Start by calculating the mean and the standard deviation
So, we have:
So, we have:
The probability is then represented as
Calculate the z-score for x = 70.5
So, we have:
So, we have:
Using z-scores of probabilities, we have:
Hence, the probability that more than 70 workers will be involved in an accident is 0.8665
Read more about probabilities at:
link
Ответ:
86.65% probability that more than 70 workers will meet with an accident during the 1-yr period
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that
,
.
In this problem, we have that:
So
What is the probability that more than 70 workers will meet with an accident during the 1-yr period
Using continuity correction, this is
, which is 1 subtracted by the pvalue of Z when X = 70.5. So
1 - 0.1335 = 0.8665
86.65% probability that more than 70 workers will meet with an accident during the 1-yr period
Ответ:
Area = Pir2.
The area formula can be found by breaking apart the circle and forming a parallelogram.
The area of a circle is in square units.
(B,D,E)
Step-by-step explanation:
other person was incorrect, heres the correct answer :)