How to Calculate Standard Deviation for Defective Bolts?

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In summary, we are given a problem statement that states the probability of a defective bolt is 1/10 and we need to find the standard deviation of defective bolts in a normally distributed set of 400 bolts with a mean of 40 bolts. No attempt at a solution has been made yet.
  • #1
moonman239
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1. The problem statement,
The probability of a defective bolt is 1/10. Find the standard deviation of defective bolts of a normally distributed set of 400 bolts.
and given/known data
Mean = 40 bolts
2. The attempt at a solution
None
 
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  • #2
moonman239 said:
1. The problem statement,
The probability of a defective bolt is 1/10. Find the standard deviation of defective bolts of a normally distributed set of 400 bolts.
and given/known data
Mean = 40 bolts
2. The attempt at a solution
None
Per the forum rules, you must make an attempt at a solution.
 
  • #3
Mark44 said:
Per the forum rules, you must make an attempt at a solution.

I can't even think of one, but I'll post one as soon as I can.
 
  • #4
Oooohhhh, wrong title. Argh.
 

FAQ: How to Calculate Standard Deviation for Defective Bolts?

What is the area between two z scores?

The area between two z scores represents the probability of a random variable falling between those two z scores. It is the area under the normal curve between those two z scores.

How do you calculate the area between two z scores?

To calculate the area between two z scores, you can use a standard normal distribution table or a statistical software. You can also use the formula: A = Φ(z2) - Φ(z1), where Φ represents the cumulative distribution function of the standard normal distribution and z1 and z2 are the two z scores.

What is the relationship between the area between two z scores and the probability?

The area between two z scores is directly related to the probability. The larger the area, the higher the probability that a random variable will fall between those two z scores. Conversely, the smaller the area, the lower the probability.

Can the area between two z scores be negative?

No, the area between two z scores cannot be negative. The area represents a probability, and probabilities cannot be negative. If you get a negative value when calculating the area between two z scores, it is likely due to an error in calculation or interpretation.

What is the significance of the area between two z scores in statistics?

The area between two z scores is used in statistics to determine the likelihood of a random variable falling in a certain range. It is also used in hypothesis testing to calculate p-values and determine the significance of results. Additionally, it can be used to calculate confidence intervals for a population mean.

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