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JaySavage7001
09.02.2020 •
Mathematics
The sum of one and the product of one and a number x
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Ответ:
1 + 1x
OR
1 + x
They mean the same thing! Hope this helps!
Ответ:
Dont look at mine idek why im here
Step-by-step explanation:
Ответ:
0% probability that less than 76 in the sample keypads pass inspection.
Step-by-step explanation:
I am going to use the normal approximation to the binomial to solve this question.
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
Find the probability that less than 76 in the sample keypads pass inspection.
Using continuity correction, this is
, which is the pvalue of Z when X = 75.5.
So
0% probability that less than 76 in the sample keypads pass inspection.