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2. (a) Let P(Bin B2) > 0, and AUA, CBin B2. Then show that P(A/B).P (A2|B2) = P(A|B2).P (A2|Bi). (b) Let A and Bbe independent; similarly, let A and B, be independent. Show that in this case, A and B U B2 are independent if and only if A and Bin B2 are independent (c) Given P(A) = 0.42, P(B) = 0.25, and P(An B) = 0.17, find (i) P (AUB); (ii) P(An B°); (iii) P(A n B); (iv) P(...
p 5:00 24% 10:17 B/s OUMNIAH rked out of 2.00 Flag question Apply separation of variables method to solve u=U xx t>O -4 u; 0<x< 1 uo, t)=0 ux(1, t)=0 u(x,0)= x Then the ODE in terms of x is oa. X" – 4 x'= 0 o b. X" +412 X=0 OC. X" - 4x +12 X=0 od. X" - 4 x' +1? x = 0 o
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Exercise 25: Let f 0,R be defined by f(x)-1/n, m, with m,nENand n is the minimal n such that m/n a) Show that L(f, P)0 for all partitions P of [0, 1] b) Let mE N. Show that the cardinality of the set A bounded by m(m1)/2. e [0, 1]: f(x) > 1/m) is c) Given m E N construct a partition P such that U(f, Pm)2/m. d) Show that f is integrable and compute Jo...
Please explain the python code below L1 = [2, 15, 'Carol', 7.4, 0, -10, -6, 42, 27, -1, 2.0, 'hello', [2, 4], 23] print("L1 =",L1) odds =[] evens=[] list=['a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','s','t','u','v','w','x','y','z','A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z',',','.'] no=0 for i in L1: i=str(i) for j in list: if i.find(j)>=0: no=1 if no==1: None else: i=int(i) if i%2==0: evens.append(i) else: odds.append(i) no=0 ...
O pts) Calculate the pin reactions at A, B and Dif P = 50 N, Q = 30 N, L = 5 m, d= 4 m and h = 10 m. (A, B and D are all pin connections) P=SON { Yi=0 RAY + Roy-Q=0 FBD For Euty S. - RAY + Roy = 30N {xi=0 Ron-Rax - P=0 Rox-RAX= SON eam Son Ray my RANCA LL SMA ED tRb xh (5m) Q - (10m) Roy = 0 (5m) (30N)...