A quality-control inspector examined 100 light bulbs and found 7 defective. At this rate, how many defective bulbs would there
1 answer:
Answer: 175 defective bulbs.
Step-by-step explanation:
1. Keeping on mind that the inspector examined 100 light bulbs and found 7 defective, you can calculate the number of defective bulbs that there would be in a lot of 2500 bulbs as following:
- Let's call the number of defective bulbs that there would be in a lot of 2500 bulbs .
- Then, you have:
- Solve for x:
2. Then, there would be 175 defective bulbs in a lot of 2500 bulbs.
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where y₁ and x₁ are the x and y-coordinates of the equation and m is the slope. Seeing that (y-2) = 3(x-1) is already in this form, we can clearly see that the slope of the equation is equal to 3.
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Answer:
a) The probability is the p-value of , in which X is the gas mileage of the 2020 Honda Civic.
b) Your dad's truck is 1.65 standard deviations below the mean.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.
This means that
a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?
This is the p-value of Z, given by:
In which X is the gas mileage of the 2020 Honda Civic.
b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?
This is Z when X = 14. So
Your dad's truck is 1.65 standard deviations below the mean.