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64 m kj izns'k jktf"kZ V.Mu eqDr fo'ofo|ky;] bykgkckn

64 m kj izns'k jktf"kZ V.Mu eqDr fo'ofo|ky;] bykgkckn

64 m kj izns'k jktf"kZ V.Mu eqDr fo'ofo|ky;] bykgkckn

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22<br />

535<br />

m <strong>kj</strong> izns’k jktf"<strong>kZ</strong> V.<strong>Mu</strong> <strong>eqDr</strong> fo’ofo|ky;] <strong>bykgkckn</strong><br />

vf/kU;kl (Assignment) 2012-2013<br />

Lukrd foKku dk;Z e<br />

Bachelor of Science Programme<br />

fo"k; % xf.kr fo"k; dksM % ;w-th-lh-,p-bZ-/<br />

Subject : Maths ;w-th-,e-,e-<br />

Subject Code : UGCHE/UGMM<br />

dkslZ ’kh"<strong>kZ</strong>d % xf.kr fof/k;k¡ dkslZ dksM % ;w-th-lh-,p-bZ--11/<br />

;w-th-,e-,e--03<br />

Subject Title : Mathematical Methods Course Code : UGCHE-1 1<br />

Section - A<br />

UGMM-03<br />

vf/kdre vad % 30<br />

Maximum Marks : 30<br />

vf/kdre vad % 18<br />

Maximum Marks : 18<br />

Note : Long Answer Question. Answer should be given in 800 to 1000 words.<br />

Answer all questions. All questions are compulsory.<br />

1. Discuss about the standard normal distribution. Also find out its<br />

cumulative distribution function (cdf). 6<br />

2. Discuss about the binomial distribution. Also find out its mean &<br />

variance. 6<br />

3. Discuss about the "Goodness of fit test" of Chi-shqare test. Also define<br />

level of significance. 6<br />

Section - B<br />

vf/kdre vad % 12<br />

Maximum Marks : 12<br />

Note : Short Answer Question. Answer should be given in 200 to 300 words.<br />

Answer all questions. All questions are compulsory.<br />

4. Monotonic function or Type one error & type two error. 3<br />

P/4<br />

5.<br />

1 - x<br />

ò 1 + x<br />

o<br />

2<br />

2<br />

dx or standard error 3<br />

OR<br />

6. Prove that, 3<br />

If Z = ¦ (x, y) be a homogeneous function of degree n in x and y then<br />

<br />

X<br />

z z<br />

+ = nz<br />

x y<br />

7. null Hypothesis & Alternative hypothesis. 3<br />

¾¾¾¾¾

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