FIRST HP: Normal Distribution

Hello

I am trying to solve the following equation:

X - N(50,15^2) find Pr (50 < X < 70)

When I type the above in the calculator, the following occur:

I don't understand why I get a 'erf' rather than a decimal answer.

Can anyone help me please with the help of the function of standard normal distribution on HP Calculator first.

Thank you

Arthur

Please, do not change the settings of your CASE, as described. Usually it makes more problems then helps until you understand how things work a bit more. Default settings are almost always going to be better for most users.

Basically, the reason for this is because you are in the display CASE. Click home, try again and you will see it comes out a decimal number. Putting a decimal value at the end of one of your own in the CASE would ALSO return a decimal value lead (as you say the CASE "Please calculate using values digital apprixmated, since I gave you an approximate numeric value with a decimal"), as would hit the function SHIFT + ENTER to close the last calculation After obtaining this result.  None of those are the best solutions instead of changing the settings as shown.

As to which is the (Railroad), which is in fact the way in which the normal distributions are calculated. See this link for a large Description: http://mathworld.wolfram.com/NormalDistributionFunction.html

Cite this page: ' or or erf may be expressed in terms finished additions, subtractions, multiplications and extraction of roots, and must therefore be either computed numerically or otherwise by approximation.»

Essentially, the CASE is you give the representation exact, symbolic of your normal distribution using a function that represents a certain operation. These types of 'special functions' are becoming more frequent in senior type math/engineering calculations.

When it comes to exact/approximate, mathematicians refer to the idea that something is "a perfect representation of the concept of this thing" or just "a number which is quite close to her.  For example, + infinity is a concept that CASES can actually understand, but a normal calculator could not - he could not hold a number large enough to be "infinite". Yet in many cases, simply put it in a very large number in the calculation is "good enough" to represent the positive idea of infinity.

Another good example of this is pi. Are pi cannot be represented as a decimal number is perfect, but in most cases a round off the coast of the value is "close enough".   The first CASE mode takes all integer with no decimal to be "the idea of this number. For example, sqrt (2) return sqrt (2) in the form of CASE. It is not a number that can simplify low. If you try to do SQRT(2.) (<-note the. after the two), you say really "take the square root of the number which is"close enough"of the ideal value of 2. The calculator then returns a number that is "close enough" to the result perfect, exact square root.

If you get an accurate result and want to see the decimal approximation, just press SHIFT ENTER. This sign of equality gribouilli little is the mathematical symbol for "approximates of»

As to the last question, use this rule to help go you as you - if you try to get an approximate result of decimal number, the home screen is where you work. If you want accurate results, symbolic algebra, the CASE screen is where you work. If you are in the display CASE and you want a decimal result, press shift ENTER to run the command "about" that will make an estimate time of your last result in a decimal number. Make sense?

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