Question

please write the right answer and why these answers are wrong.

3. (6 points) In a lab experiment involving inorganic syntheses of molecular precursors to organometallic ceramics, the final step of a five-step reaction involves the formation of a metal-metal bond. The probability of such a bond forming is p = 0.20. Let X equal the number of successful reactions out of n = 25 such experiments. (a) Find the probability that the metal-metal bonds form in at least 6, but less than or equal to 8, of the 25 experiments. MY per (1-P) PSG < *28) PCX 28)+P ( 6 <*): (3.ccinoza res) ezo (-0.20) 3 25 OCS + 25-6) Hamono c.87" .070% 31. (b) Give the mean of X and interpret what the average value represents in complete sentences. Minp=25 x 0.205. successful reactions X, represesnts the avruge value of

Answer 1

no * No. of onccessful reactions out I 25 experiments ie, N=25 & gwen, R-0.20 :: X~ Bin (25,0.20) 6. Puch of X, 26)-250:20* (1-0:20 25-2 : x=0,1,...,25

a Ra. probability =P (8 >x>6) – P(x=6) + (x=2) + P(x=8). = (252..0.2060-80%) +(250, 0.20²0.80'3) +(254, 0.2003 = 0.3365 we know, b) Mean oft, E (x) = ner so. For xn Bin Cap -25% 0.207 E(X)=up7