Suppose you are tossing a fair coin to bet. At each time your gain is Xi. The rule is: () if you get heads at i-th toss, Xị = 1$; (ii) if you get tails at i-th toss, X; = -1$. Let Wn = X1+ X2 ++ Xn with Wo = 0. Note that Wn represents your total wealth after n tosses. Suppose after 100 tosses you have 11$, that is W100 = 11. What is your expected wealth if you do another 100 tosses, that is E[W200|W100 = 11]?

Q: y=(2e+1) (x+2)* y= ?

A:

Q: 3. A certain Businessman invested in a small business with an initial capital (P). He had his first…

A: The expression of the total accumulated sum is given by, TS=PI1⋅I2I1+I2+I3

Q: x-6X

A: We need to find the integral ∫dxx2-6x. So,                            ∫1x2-6xdx=∫1x-32-9dxLet…

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: So x² (a²-x²) ³¹/2² dx

A: A detailed solution is given below.

Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: Find a + b, 2a + 3b, a|, and Ja -b|. a = (5, -12), b = (-3, -6) %3D %3D a + b 2a + 3b = |al %D la b|…

A:

Q: As+B If L(3t5 + 8) = the value of B is

A:

Q: Uist all subsets of the set C-(1, 2, 3).

A:

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

A:

Q: S,(3x2 – 2x + 1) dx

A: We know the integral formula, ∫xndx=xn+1n+1+C

Q: If +1-6 then x =

A:

Q: X² = 9 if and only if x=3

A: Given: X² = 9 if and only if x=3 To determine : If the given statement is true.

Q: If 75% of x is 1500 then x is

A: Given ,  75% of x is 1500 then  We have to find x  We know that ,  75% of x is 1500 means

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: Question 7: A noisy voltage signal is characterized as a random variable X ~ N(0,4). This signal is…

A:

Q: Write the vector 3 (if it is possible) as a linear combination of the vectors d1, d 2.

A:

Q: Find f- (3) – 4ƒ(6).

A: Given: The table x f(x) 1 4 2 1 3 2 4 6 5 3 6 5

Q: find -1 2 5+1 s(5+1)²

A:

Q: • 21 real imaginary 2)

A:

Q: 7. For trapezoid WXYZ, U and V are midpbints of the-legs. Find UV. W x +7 8x-3 6X +5

A:

Q: Assume that P (A n B) = 0.25, P (B) = 0.65, and P ( A 0.15. Find P (A).

A:

Q: P(A or B)=1/5+2/3-1/3

A: Answer

Q: Evaluate. n(3) = -x + 4x

A:

Q: W+7/8=6

A: The given equation is W +(7/8) = 6.