Question

can someone explain how to solve for k_p assuming this datat

$\lambda$	F( $\lambda$ )	$\sigma(\lambda )$	$\phi(\lambda )$
295 301 305 311 315 319 332.5 337.5 342.5 347.5 352.5 357.5 362.5 372.5 377.5 382.5 387.5 392.5 397.5 402.5 407.5 412.5	0 0.01 0.09 0.61 1.13 1.7 10.22 10.14 11.12 11.33 13.09 11.84 13.23 1.48 1.69 1.44 1.59 1.6 1.97 2.74 2.68 2.8	11.54 13.44 15.89 18.67 24.53 24.77 34.25 37.98 37.98 40.65 43.13 47.17 48.33 53.15 55.08 56.44 59.27 58.45 60.21 57.81 59.99 56.51	0.998 0.997 0.996 0.995 0.994 0.993 0.991 0.99 0.98 0.988 0.987 0.946 0.984 0.981 0.979 0.975 0.996 0.957 0.87 0.56 0.225 0.094

k_p= $\sum$    $\phi (\lambda )\sigma (\lambda )F(\lambda )$

   ^$\lambda$

Answer 1

Just multiply F(λ)Φ(λ)σ(λ) at each λ and add all those values,
At λ = 295 , K_P = 0.998*11.54*0 = 0
At λ= 301 , K_P = 0.997*13.44*0.997 = 0.133996
At λ= 305 , K_P = 0.996*15.89* 0.09 = 13.346081
At λ = 311, K_P = 0.995*18.67*0.61 = 11.3317565
At λ = 315, K_P = 0.994*24.53*1.13 = 27.5525866
At λ = 319,  K_P = 0.993*24.77*1.7 = 41.814237
At λ = 332.5 , K_P = 0.991*34.25*10.22 = 346.884685
At λ = 337.5 , K_P = 0.99*37.98*11.12 = 418.114224
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At λ= 412.5 , K_P = 0.094*56.51*2.8 = 14.873432
Just add all these values, to get K_P
K_P = 4067.92366