Simplify 2a^2 × 5a^a
1 answer:
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Answer:
0.3968 = 39.68% probability this shipment passes inspection.
Step-by-step explanation:
The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
50 parts means that
4 defective means that
10 are chosen, which means that
What is the probability this shipment passes inspection?
Probability that none is defective, so:
0.3968 = 39.68% probability this shipment passes inspection.
Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.
<h3>What is the z-score formula?</h3>The z-score of a measure X of a variable with mean and standard deviation
is given by:
The z-score measures how many standard deviations the measure is above or below the mean.
In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:
Z = 2.46.
Hence, all of the values fall within 2.46 standard deviations of the mean.
More can be learned about z-scores at brainly.com/question/24663213