The questions is attached in the file using R plot to answer and doing code program

MTH 2401 Prob/StatFall 2022, 30 pts.
Print First & Last Name _________________________________
PROJECT 2
(due Friday, October 28, by 8:00 pm EST)
Please submit your solutions electronically via e-mail at edshalalow@scienceatlantic.net. You may use
only Adobe Acrobat (PDF) or MS Word. I cannot read any other formats. Please note that after the
above deadline, no paper will be accepted. Pertinent topics: Sections 2-4, Chapter II, Continuous
Random Variables, on pp. 69-70, 81-82, 85-86, 90-91, Section 2.
Please provide me not only with an answer, but also with the source code of the program. You need to
attach a snapshot of your screen in the R console as an evidence that you really ran the program and no
one else. Otherwise, the problem won’t be graded. Also, your work must be rendered independently,
without any collaboration with others.
1
2
Using R, plot the exponential density function with param. – œ !Þ% on interval   “ß “#. (4 pts)
Using R, plot the gamma density function with parameters α œ #Þ#ß ” œ “Þ$ on interval !ß (.
(4 pts)
3
Using R, plot the Gaussian density function with parameters . œ  #Þ” and 5# œ ( on interval
  “!ß 6. Attach your source code.
(5 pts)
4
Using R, plot the half of the integral area from  #Þ& to . œ $Þ# under the curve of the Gaussian
density function 0 with parameters . œ $Þ# and 5# œ $. The curve to be plotted is on interval
  #Þ&ß *. Attach your source code. Hint. See Problem 4.9, pp. 90-91, of your Notes.
(9 pts)
5
There are two Gaussian curves below (Plots A and B), along with the respective R source codes.
Looking at the plots and the source codes provided, identify the parameters of respective
Gaussian pdf’s (probability density functions) and the numeric value of B in the PDF J B to
express the areas under the curves in terms of J B. (Do not calculate those areas. Your answers
must be like J B or ”  J B for a relevant value of B.)
(8 pts)
PLOT-A
x0],y[x==-4]),col=”honeydew2″)
1
0.20
0.15
0.10
0.00
0.05
y
-4
-2
0
2
4
6
8
x
PLOT-B
0.10
0.05
0.00
y
0.15
0.20
x