An engiorecing fam sets an apinude test when appliccants fiunt apply for trxining. The times skea to complete the test ase soemaly datubuted wvith mesa 405 miautes sad staodaed deristion 75 minutes. Applicats who complene the testin les than 30 minutes ace immedanely nceptnd for tuaining Those who take between 30 sad 36 minustes ae inquised to take fucthes test. All othes applicant ae seected. O Fora nadomly chosen spplicat cakeulte the probablăry of O inmediate sceptance for tusining O inquirement to take a furthet test (6) Given that a aodomly chosen spplicaat was not sejected aftes thin fant test, caleulate the probublity that the applicant was immediately acceped fou tuxining On a cestain occasion these wese 100 applicaats. Use a aitable distubutional appuonimation to caleulate the probability that mose than 25 applicaats wese unquied () to take a furthes test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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solve the following questions, formulas attached as well

Question #2
An engineecing firm sets an apinude test when appliccants furst apply for training. The times
taken to complete the test ase noemally distabuted with mean 405 miautes and standaed
deriation 75 minutes.
Applicats who complete the test in less than 30 minntes are immeduanely accepted for tuaining
Those who take between 30 sad 36 minutes ase sequired to take furthes test. All other
applicann are sejected.
(6) For a sandomly chosen appäcant cakulate the probabăry of
A immediate acceptance for tunining
snquirement to take a further test
(6) Giren that a randomly chosen applicant was not sejected sfter this fast test, calculate
the probubility that the applicant was immedianely accepted for tuaining
(6) On a cestain occasion there were 100 applicants. Use a suitable dastabutional
approsimation to caleulate the probabilty that more than 25 applicaats were sequired
to take a farther test
Transcribed Image Text:Question #2 An engineecing firm sets an apinude test when appliccants furst apply for training. The times taken to complete the test ase noemally distabuted with mean 405 miautes and standaed deriation 75 minutes. Applicats who complete the test in less than 30 minntes are immeduanely accepted for tuaining Those who take between 30 sad 36 minutes ase sequired to take furthes test. All other applicann are sejected. (6) For a sandomly chosen appäcant cakulate the probabăry of A immediate acceptance for tunining snquirement to take a further test (6) Giren that a randomly chosen applicant was not sejected sfter this fast test, calculate the probubility that the applicant was immedianely accepted for tuaining (6) On a cestain occasion there were 100 applicants. Use a suitable dastabutional approsimation to caleulate the probabilty that more than 25 applicaats were sequired to take a farther test
Statistics Formulae
ΣΑ
Mean. με Σ
Sample Variance = s.
Some Probability Formulae
P(AUB) = P(A) + P(B)- P(AOB)
1.
PANB)
; P(B)>0
2.
P(A B) =
PB)
3.
P(AnB) = P(A/ B)+ P(B)
4.
P(AIB) = P(A)
P(AnB) = P(A) • P(B)
5.
P(A) = PA/ B)B) + PA/B)P(P(B)
6.
P(BI A)P(A)
8.
P(A B) =
PBI A)P(A) + PMBIA)PA)
με ΕίX) Σα)
9.
a =V(X) = E[(X - ']=E(x-' P(x)
10.
a =V(X) = E(X) -[E(X)r
11.
n!
12.
P(x) =
13.
= np: o
= npq
Plx) = 'e".
14.
for x= 0,1,2,3.
15.
P(x)=pqx-
Transcribed Image Text:Statistics Formulae ΣΑ Mean. με Σ Sample Variance = s. Some Probability Formulae P(AUB) = P(A) + P(B)- P(AOB) 1. PANB) ; P(B)>0 2. P(A B) = PB) 3. P(AnB) = P(A/ B)+ P(B) 4. P(AIB) = P(A) P(AnB) = P(A) • P(B) 5. P(A) = PA/ B)B) + PA/B)P(P(B) 6. P(BI A)P(A) 8. P(A B) = PBI A)P(A) + PMBIA)PA) με ΕίX) Σα) 9. a =V(X) = E[(X - ']=E(x-' P(x) 10. a =V(X) = E(X) -[E(X)r 11. n! 12. P(x) = 13. = np: o = npq Plx) = 'e". 14. for x= 0,1,2,3. 15. P(x)=pqx-
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