Question

0se n:6 and p:0.2 0 coeplete la)-() A Construct a binomal probabily ditibutlon with qien paoe PM 2 BCamate theman and sandar viation of the YIn Varia ble using Vx .Pand cyEP Clound two decimal plaa YOund tNo deinal 'pute CX (ound tua deci YOund tuo deciral

Answer 1

X~Bin (n=6, p=0.2). . the pms of x is given by Poxo = P(X=2) = ( px qu-x x=0,1.. n q:1-6 .: PCO)=P(x=0) - ()x(0.23° (0-8) 6.) 0-2 (0-8) 6-4 x=0,- 6. , 1xSx0.96 PCU P(X51) (6) *0- 2)x(0-8)5. 6x0.2 x(0.875 -0.393 2 Similarly we can compute for other values and whence we have the following table. AY I P(x) 0.2621 0.3932 0 2458 0.0819 0.0154 00015 0.0001 Total 1.0000 Mx = Table No.1 Showing necessary calculations PLх) X. PCX) x² PLX) 0.26 21 0.3932 0.3932 0.3932 02458 04916 0.9832 0.0819 0.2457 0.7371 0.0154 0.0616 0-2464 0.0015 0.0075 0.0375 0.0001 0.000G 0.0036 1.oooo 1.2002 2.40L - 2x. PC) IX2.P(X) 2x. P (x) 1.2002 1:20] 6x= √2x² P(X) - M x 2 2.401 - (4.2012 - $0.961 30.980 3 -10.98! Total 7 Here n=6,P=0.2 x 1-P= Mx=nP = 6x0.2 = (1.2] 6x = IMPLIP) = 6x0.2 x 0 8 = 1-0.2 = 0.8 0.96 = 0.9798 -0.98]