Question
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
- online calculators- There are so many websites online providing such calculator. Example-https://solvemymath.com/online_math_calculator/statistics/pdf_calculator.php
- For binomial and discrete probability distribution:-http://users.rowan.edu/~schultzl/TI/binomial_StatI.pdf
- you can download the excel sheets available online.
- 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:
- 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.
- 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 agoRelated Solutions
Q52 What is a probability density function and how is it relevant to the determination of...
Q52 What is a probability density function and how is it
relevant to the determination of probabilities associated with a
continuous random variable? [3 Marks]
DO NOT WRITE THE ANSWER - USE WORD FORMAT.
NO PLAGIARISM ACCEPTED IN THE ANSWER.
Could you please show me how to calculate the probability density function (pdf) e.g. the scaled...
Could you please show me how to calculate the probability
density function (pdf) e.g. the scaled frequency. You will need to
give the absolute frequency, relative frequency and the
scaled frequency of the values below. Please show all working out.
Please only answer if you are 100% sure you can solve it accurately
and provide all of the correct working out.
Thank you
force (kN)
Distance (m)
2.11
2.33
2.33
3.42
3.02
3.13
3.02
...
Could you please show me how to calculate the probability density function (pdf) e.g. the scaled...
Could you please show me how to calculate the probability
density function (pdf) e.g. the scaled frequency. You will need to
give the absolute frequency, relative frequency and the
scaled frequency of the values below. Please show all working out.
Please only answer if you are 100% sure you can solve it accurately
and provide all of the correct working out.
Thank you
force (kN)
Distance (m)
2.11
2.33
2.33
3.42
3.02
3.13
3.02
...
1. What is the probability density function? 2. In the Business context, can anyone use an...
1. What is the probability density function?
2. In the Business context, can anyone use an example to show
how the probability density function is applied in the real
world?
The random variables X and Y have the following probability density function (pdf). Conditional probability density...
The random variables X and Y have the following probability
density function (pdf).
Conditional probability density function is
f(xly) = ax/y^2 , 0<x<y, 0<y<1
=0 , o/w
marginal density finction is
f(y) = by^4 ,0<y<1
= 0, o/w
At this time, find the constant a and b values to be the
probability density function, and then indicate whether the random
variables X and Y are independent, and if not, indicate whether
they are positive or inverse.
. The joint probability density function of X and Y is given by ?(?, ?) =...
. The joint probability density function of X and Y is given
by
?(?, ?) = { ??^2? ?? 0 ≤ ? ≤ 2, 0 ≤ ?, ??? ? + ? ≤ 1
0 ??ℎ??????
(a) Determine the value of c.
(b) Find the marginal probability density function of X and
Y.
(c) Compute ???(?, ?).
(d) Compute ???(?^2 + ?).
(e) Determine if X and Y are independent
1.Plotting densitiesPlot the probability mass function (pmf) or probability density function (pdf) for eachof the following...
1.Plotting densitiesPlot the probability mass function (pmf) or
probability density function (pdf) for eachof the following
scenarios:(a) Consider abinomialrandom variable,X.i. Plot the pmf
ofX∼Bin(n= 10,p= 0.3).ii. Plot the pmf ofX∼Bin(n= 10,p= 0.7).iii.
Plot the pmf ofX∼Bin(n= 100,p= 0.3).iv. What happens to the shape
of the pmf ofX∼Bin(n,p) whenpgets larger?v. What happens whenngets
larger?(b) Consider ageometricrandom variable,Y.i. Plot the pmf
ofY∼Geom(p= 0.1).ii. Plot the pmf ofY∼Geom(p= 0.5).iii. Plot the
pmf ofY∼Geom(p= 0.8).iv. What happens to the shape of the pmf
ofY∼Geom(p)...
The probability density function of the time you arrive at a terminal (in minutes after 8:00...
The probability density function of the time you arrive at a
terminal (in minutes after 8:00 a.m.) is f(x)=(e^(-x/10))/10 for 0
< x. Determine the following probabilities.
C. You arrive before 8:10 A.M. on two or more days of five days.
Assume that your arrival times on different days are
independent.
Give an example of a function F which is the joint probability distribution (not density) function...
Give an example of a function F which is the joint probability
distribution (not density) function of a pair of random variables X
and Y such that
(a) X and Y are independent and discrete
(b) X and Y are dependent and discrete
(c) X and Y are independent and continuous
(d) X and Y are dependent and continuous
Derive conditional expectation from joint probability density function.
Derive conditional expectation from joint probability density
function.
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