LOOK HOW MANY POINTS!!! PLEASE HELP ASAP A cell phone company tests 75 cell phones and finds that 3 of them have defects. Out of
1 answer:
Answer:
Out of 450 phones 18 of them will have a defect.
Step-by-step explanation:
As we know that out of 75 phones 3 of them will have a defect, this means that we are able to calculate how many defects there will be from 450 phones. You can do this by first dividing 450 by 75, this gives you 6. This means that 75 will go into 450 6 times.
From this we are able to work out the number that will have defects. This is because we know that 75 goes into 450 6 times and that for each 75 phones there will be 3 defects. So to work out the number of phones out of 450 that would be defects you would simply multiply 3 by 6, this gives you 18. This shows that out of 450 phones 18 of them will have a defect.
1) Divide 450 by 75.
2) Multiply 6 by 3.
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Answer:
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Step-by-step explanation:
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Answer:
52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem:
Normal probability distribution:
Problems of normally distributed samples are 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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct
This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So
X = 30732
By the Central Limit Theorem
has a pvalue of 0.7642.
X = 30054
has a pvalue of 0.2358
0.7642 - 0.2358 = 0.5284
52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct