a) P(A) = Σ = KEA 2k n(n + 1) Π(1-3). k b) P(A) = Π ΚΕΑ
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Let Ω = {1, . . . , n}, and consider the measurable space (Ω, 2^Ω). Determine in each case whether P is a measure of probability.
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- The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?6х — 9 4.) dx — Зх + 2 x2b) Prove that, S. (e3x + 1)² dx = e²x 2π 9√3 .
- If csc e = 1/3t, then where defined, cos 0 A Square root of (1 – 9t2) B) 3t/squareroot of (1 – 9t2) c) Square root of (1 - 3t2) 3t/square root of (1 – 3t²)(2x + 13)dx 2. S [Hint: Express the numerator as 2x + 13 = (2x + 12) +1 ] x2+ 12x + 39S 6e2x 1-etx dx = Select one: O a. 6sin-¹e¹*+C O b. In√√1-etx + C O c. 3sin-¹e²x+c O d. 3√1-e+x+C
