Reg No,’

0200031204052005 3

Name:
APJ AKDUL KALAM TECIINOLOGLCAL UNIVERSITY
Fourth Semester 8, Tech 126726 (5,178) Exuminution August 202) (2015 Scheme)

Course Codu: 74
Course Name: PROBABILITY, RANDOM PROCESSES AND NUMERICAL. METHODS

(AE, EC}
Max. Marks: 00 Duration: 3 Hours
Normat distribution tuble ix allowed ta the exanrinatior halt.
PART A

Auswer any ove quesnans
॥ யூ. The prohability distribution of டீ random vunuble X is

ಡಾ

(1) Pind the 1810೯ of {४} the distribution function
{111} ടമ + 2% then find FY}.
b) Ina city. 446 of all 1102/1900 drivers will be involved in atleast one road accident in
any given year, Use Poisson disiabuiion 40 derermine the probabiliry thut among
150 1८८१५५५ drivers cundomly chosen in this cily 8
{i} only 5 will by involved in alleust ೧೧೮ road aveident 70 any given year,
{11} ھ٠۶‎ 3 will be myalved in alleast ane road accident in any given year,

=

2 a) Derive the mean ond vanance of एज 070 disicibulion
6} [tt an intelligence 103 administered ७ 1000 children the average murk was 60 und
athe sikindard deviation was 20, Assuming the marks obtained folluw Normal
distribution, find the number of children wlio have scored (பி above 90 marks 8
(ii) beloeS 40 mar!s (|||) belween 50 and 80 marks?

3a) Fil 8 ainomn] disltib111i&IHo 'hcTOllo%ng
claw,

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