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Q: The area under a normal curve with mu equals 15 and sigma equals 2 is?
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How do the width and height of a normal distribution curve?

By standard practice, the normal distribution curve should be normalized so that the area under the curve is 1. This results in a height, at the mean, of about 0.4, i.e. the probability of a sample value being equal to the mean is 40 percent. The width of the normal distribution curve is infinite, as the tails are asymptotic to the X axis. It is easier to understand that the +/- one sigma area is 68.2 percent, the +/- two sigma area is 95.4 percent, and the +/- three sigma area is 99.6 percent.


What area is to the left of z equals -2.37 under that standard normal curve?

The area is 0.008894


The area under the normal curve is greatest in which scenario?

The area under the normal curve is ALWAYS 1.


Find the area under the normal distribution curve between z equals 1.23 and z equals 1.90?

Look in any standard normal distribution table; one is given in the related link. Find the area for 2.43 and 1.52; then take the area for 2.43 and subtract the area for 1.52 and that will be the answer. Therefore, .9925 - .9357 = .0568 = area under the normal distribution curve between z equals 1.52 and z equals 2.43.


Why sigma is used in 6 sigma?

sigma represents standard deviation. In a normal distribution, +/- 1 sigma from the mean, for instance, corresponds to approximately 67% of the area under the normal distribution. +/- 2 sigma corrresponds to 95% of the area and +/- 3 sigma from the mean corresponds to 99% of the area under a normal distribution. The area that is covered under +/- six sigma from the mean corresponds to nearly 100% -- that is, the part of the area NOT under that +/- 6 sigma is in the 10^-15 range or 1/1,000,000,000,000,000. The six sigma name borrows from this to suggest that the method gives this degree of certainty: that in 999,999,999,999,999 in 1,000,000,000,000,000 cases the result will be predictable. It does nothing, however, to explain how an agricultural process management methodology applies to other fields.

Related questions

The area under a normal curve with mu equals 8 and sigma equals 3 is?

The area under a normal curve with mu = 8 and sigma = 3 is


What is the area under a curve with mu equals 15 and sigma equals 2?

If the question is to do with a probability distribution curve, the answer is ONE - whatever the values of mu and sigma. The area under the curve of any probability distribution curve is 1.


How does 1 sigma represent 68.8 percent of the total area under a normal curve?

1 sigma does not represent 68.8 percent of anything.The area under the standard normal curve, between -0.5 and +0.5, that i, the central 1 sigma, is equal to 0.68269 or 68.3%.


What is the area under the normal curve between z equals 0.0 and z equals 2.0?

What is the area under the normal curve between z equals 0.0 and z equals 2.0?


What is the area under the normal curve between z equals -1.0 and z equals -2.0?

1


How do the width and height of a normal distribution curve?

By standard practice, the normal distribution curve should be normalized so that the area under the curve is 1. This results in a height, at the mean, of about 0.4, i.e. the probability of a sample value being equal to the mean is 40 percent. The width of the normal distribution curve is infinite, as the tails are asymptotic to the X axis. It is easier to understand that the +/- one sigma area is 68.2 percent, the +/- two sigma area is 95.4 percent, and the +/- three sigma area is 99.6 percent.


What is the area under standard normal distribution curve between z equals 0 and z equals 2.16?

0.4846


What is the area under the normal distribution curve to the right of z that equals 3.24?

0.0006 (approx).


What area is to the left of z equals -2.37 under that standard normal curve?

The area is 0.008894


What is the area under standard normal distribution curve between z equals 0 and z equals -2.16?

2.16


He area under the standard normal curve is?

The area under the standard normal curve is 1.


The area under the normal curve is greatest in which scenario?

The area under the normal curve is ALWAYS 1.