Assume that Pr[E]=0.5Pr[E]=0.5, Pr[F]=0.65Pr[F]=0.65, Pr[G]=0.45Pr[G]=0.45, Pr[E∩F]=0.35Pr[E∩F]=0.35, Pr[E∩G]=0.15Pr[E∩G]=0.15, and Pr[F∩G]=0.35Pr[F∩G]=0.35. Find the following probabilities: (1) Pr[E∪F]=Pr[E∪F]=  (2) Pr[F′∩G]=Pr[F′∩G]= (3) Pr[E′∩G′]=Pr[E′∩G′]=

Q: assume that Pr[A′]=0.55, Pr[B]=0.35 , and Pr[A′∩B]=0.2. (1) Pr[A∩B]=Pr[A∩B]=   (2)…

A: Solution : Given information; P(A')=0.55 P(A)=1-P(A')=0.45P(B)=0.35 and P(A'∩B)=0.2

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A:

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A: Given :

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A:

Q: Let u = (-3, 1) and v = (0,3). Compute the following: u.v= • = | | i|| 2 = −1 (u · v) • (−1ū) · v ū⋅…

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Q: assume that Pr[A]=0.25Pr[A]=0.25, Pr[B]=0.35Pr[B]=0.35, and Pr[A∩B]=0.1Pr[A∩B]=0.1. 1)Pr[A|B] =…

A: Given: P(A) =0.25 P(B)=0.35 P(A∩B) =0.1

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A:

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Q: Prove that P[X |Y ] = (P[Y | X] · P[X] ) / P[Y]

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A:

Q: Assume that Pr[E]=0.65Pr[E]=0.65, Pr[F]=0.35Pr[F]=0.35, Pr[G]=0.6Pr[G]=0.6,…

A: Given:

Q: HMO ha

A: Given, HMO has 40 doctors to be apportioned among four clinics. The HMOdecides to appotion  the…

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A:

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A: *Answer:

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Q: 1 Assume that Pr[A]=0.45 Pr[B]=0.65, and Pr[A∩B]=0.25  A. Pr[B Compliment ∩ A]= B. Pr[A Compliment…

A: Given, Pr[A]=0.45 Pr[B]=0.65 Pr[A∩B]=0.25

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Q: Assume Pr[A]=0.3, Pr[B]=0.3, and Pr[A∩B]=0.05. Find the following values: 1. Pr[A|B]=  2. Pr[B|A]…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have helped…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.