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In: Statistics and Probability

How do you do probability density function? Can you do this kind of question with a...

How do you do probability density function? Can you do this kind of question with a calculator? If so, then what are the commands to do said probability density function on said graph? Example question : The following density function describes a random variable X. f(x) = 1 - (x/2) if 0< x < 2

Solutions

Expert Solution

a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.

To solve problems, you can use

  1. online calculators- There are so many websites online providing such calculator. Example-https://solvemymath.com/online_math_calculator/statistics/pdf_calculator.php
  2. For binomial and discrete probability distribution:-http://users.rowan.edu/~schultzl/TI/binomial_StatI.pdf
  3. you can download the excel sheets available online.
  4. For Continuous PDF as given in example(above)... refer to this video:- https://www.google.co.in/search?ei=yvNkW7O4MarM6ATK8ogY&q=How+to+do+probability+density+function+on+calculator&oq=How+to+do+probability+density+function+on+calculator&gs_l=psy-ab.3...4477.12253.0.13238.12.12.0.0.0.0.200.2018.0j11j1.12.0....0...1.1.64.psy-ab..0.6.1009...35i39k1j33i10k1.0.4-o6_hwA8tQ#kpvalbx=1

Summary:-

Sample Problem: Graph a bell curve on the TI 83 calculator with a mean of 100 and standard deviation of 15. Use the NormalPDF function.

Step 1: Press Y=.

Step 2: Press 2nd VARS 1 to get “normalPDF.”

Step 3: Press the X,T,?,n button, then the mean (100), then the standard deviation, 15. Close the parentheses.

Step 4: Press WINDOW.

Step 5: Change the window values to the following (type the values into the relative boxes):
Xmin=100-3*15
Xmax=100+3*15
Xscl=1
Ymin=0
Ymax=normalpdf(100,100,15)
Notes:

  1. The x-min/x-max is set to the mean, minus/plus three standard deviations, as this is a bell curve so +/- 3 standard deviations will show the entire curve.
  2. Ymax uses the normalpdf function to determine the maximum y-value at the mean (the peak of the curve)

Step 6: Press GRAPH. The TI 83 will graph a normal distribution curve on your screen.

Step 7: Press TRACE and then type in any number to find the y-value. For this example, type 80 and then press ENTER.

That’s how to use the TI 83 NormalPDF!

Tip: A mean of zero and a standard deviation of are the default values for a normal distribution on the calculator, if you don’t set those values.

orchestra answered 2 years ago
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