Begin2.DVI

I11-5. (xj− ̄x)^2 =x^2 j− 2 xj ̄x+ ̄x^2 so that s^2 =^1 n− 1    ∑m j=1 x^2 jnfj−2 ̄x ∑m j=1 xjnfj+ ̄x^2 n ∑m j=1 fj    But ...

I11-11. (a) (p+q)n= ( n 0 ) pn+ ( n 1 ) pn−^1 q+···+ ( n n−x ) pxqn−x+··· ( n n ) qn ( n k ) = ( n n−k ) so that (p+q)n= ∑n x=0 ...

I11-13. (a)F(x) = ∫x 0 αe−αxdx= 1−e−αx (c)F(x) = ∫x −∞ f(x)dx I11-14. (b) ( n n+ 1 ) = n! (m+ 1)!(n−(m+ 1))!= (n−m)n! (m+ 1)m!(n ...

I11-19. (i) ∑n x=0 x^2 f(x) = ∑n x=0 [x(x−1) +x]f(x) = ∑n x=0 x(x−1)f(x) + ∑n x=0 xf(x) = ∑n x=0 x(x−1)f(x) +np Usex(x−1) ( n x ...

larger than 1 because if 2 items or more are defective out of 6,we cannot obtain 5 nondefectives.P(X≤1) = 1/11 + 9/22 = 1/ 2 Ifn ...

I11-26. x f(x) =^9 xe− 9 x! 0 0.00012341 1 0.00111069 2 0.0049981 3 0.0149943 4 0.0337372 5 0.0607269 6 0.0910903 7 0.117116 8 0 ...

Index A absolute value 17 acceleration 94, 249 acceleration cylindrical coordinates 247 acceleration polar coordinates 246 accel ...

differences 356 differential equations 134, 190, 319 differentiation of vectors 28 dihedral angle 244 direction cosines 9 direct ...

intersection 392 inverse element 3 inverse matrix 315, 330 involutory 317 inward normal 123 irrotational vector field 199, 250 K ...

Poisson distribution 413 Poisson probability distribution 413 post multiplication 309 potential theory 250, 277 premultiplicatio ...

trace of a matrix 315 transformation of vectors 223 transpose matrix 313 transposition 322 transverse components of velocity 37 ...

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