P(S') = 1 - P(S) = 1-0.3 = 0.7
P(B'|S) = 1 - P(B|S) = 1-0.75 = 0.25
P(B'|S') = 1 - P(B|S') = 1-0.20 = 0.8
P(SB) = P(B|S)P(S) = 0.750.3 = 0.225
P(SB') = P(B'|S)P(S) = 0.250.3 = 0.075
P(S'B) = P(B|S')P(S') = 0.200.7 = 0.14
P(S'B') = P(B'|S')P(S') = 0.80.7 = 0.56
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1. P(HSB) = P(H|SB)P(SB) = 0.200.225
2. P(H'SB) = P(H'|SB)P(SB) = [1-P(H|SB)]P(SB) = [1-0.20]0.225 = 0.18
3. P(HSB') = P(P(H|SB')P(SB') = 0.80.075 = 0.06
4. P(HS'B) = P(H|S'B)P(S'B) = 0.150.14 = 0.021
5. P(H'SB') = P(H'|SB')P(SB') = [1-P(H|SB')]P(SB') = [1-0.8]0.075 = 0.015
6. P(H'S'B) = P(H'|S'B)P(S'B) = [1-P(H|S'B)]P(S'B) = [1-0.15]0.14 = 0.119
7. P(HS'B') = P(H|S'B')P(S'B') = 0.90.56 = 0.504
8. P(H'S'B') = P(H'|S'B')P(S'B') = [1-P(H|S'B')]P(S'B') = [1-0.9]0.56 = 0.056
b) Assuming the following. P(S)-0.3 P(BIS) 0.75 P(BIS) 0.20 P(HS'B)-0.15 P(H S'nB') 0.9 P(HİSnB)-0.20 Write out...
b) Assuming the following. P(S)- 0.3 P(BIS) 0.75 P(B)S)-0.20 P(HISnB)-0.20 P(H) Sr. B')= 0.8 P(H S'o B)-0.15 Write out the equations and compute: PSnB)- 0.225 c) Now compute the probabilities pertaining to each section in the Venn diagram 5 :5 2 3:(s л н n в": o.odo d) Write out the equation used and compute P(B'n H). e) Write out the equation used and compute P(H) PCH- 0 Compute the probability that it is snowing, given that I made it...
your initial probabilities of S1 and S2 are 0.7 and 0.3. track record is p(f|s1)=0.9 and p(f|s2)=0.05. compute p(s1|f), p(s2|f), p(s1|u), p(s2|u), p(f) and p(u) Profit Payoff 0.85 2650(+5) Build Complex IF6 一 0.15 650 C1s) Favorable report issued P(F) 0.60 Sell IF 1150 Market Research 0.20 2650 Build Complex | U 0.80 650 Unfavorable report issued P(U)-040E Sell IU 1150 2650 S1 0.6 Build Comple 8S2 650 0.4 No Market Research 1150 Sell Profit Payoff 0.85 2650(+5) Build Complex...
5. (a) Write out the set P({a, 2,0}). (b) For sets A, B and C, draw the Venn diagram representing AU( B C), (c) For sets A, B and C, draw the Venn diagram representing (AUD) n(B\C). (d) If A and B are two boxes (possibly with things inside), describe the following in terms of boxes A B, P(A), and A.
For each of the following species, write the electron configuration (assuming no s-p hybridization) and compute the bond order. Then tell: (a) Which should have the longer bond, O2 or O22? (b) Which should have the stronger bond, B2 or B22-? (c) Which should have the weaker bond, C2 or C22? (d) Which should have the shorter bond, 0 or ?
Except assume s-p mixing 5. Assuming no s-p mixing, write the (valence) electron configurations of the following diatomic molecules or ions. For each molecule give the bond order, and the number of unpaired electrons. Also, tell which orbitals are SOMOs, if any, otherwise, identify the HOMO and the LUMO. (a) B2: (b) C22-; (c) N,: (d) Bez: (e) C2.
Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) (a) b(3; 8, 0.3) (b) b(5; 8, 0.6) (c) P(3 ≤ X ≤ 5) when n = 7 and p = 0.65 (d) P(1 ≤ X) when n = 9 and p = 0.15
By application of the impulse-invariant transformation of H (s), the following transfer functions have been obtained. Find H (s), assuming T = 0.1 s: H1(z) = 2z (z − e−0.2)(z − e−0.1) H2(z) = z − e−0.6 (z − e−0.5)(z − e−0.4) H3(z) = z (z − 0.9)(z − 0.3)
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3, P[C] = 0.55, P[An B] = For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. (Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint...
TUULILE 3 A out of B question S For the diagram above, find the following probabilities (answers are given as fractions): P(BA) Choose... P(AB) Choose... P( AB) Choose... - P(B) Choose... + P(BUA) Choose...
Question 4 Not yet answered Marked out of 10.00 The following table shows the number of pieces of junk mail that arrives in my mailbox each day. X:No. of 2 3 4 5 6 pieces of junk mail P(X) 0.15 0.25 0.3 0.25 0.05 P Flag question What is the probability that 5 or fewer pieces of junk mail will be received today? Select one: a. 0.65 b. 0.85 0.9 o d.o.75