QUESTION 2 k and n are integers with 1 <= k <= n. You have 2 bit-strings a1, a2, ., an, and the other is b1, b2, .. bn. Now, we create a new bit string: a1 * b1, a2 * b2, .. an * bn where ai * bi is gotten from multiplying the two bits. Now, calculate the probability that this new bit-string contains= exactly k many 1's?

Q: 5. Ф(41) Answer: Show your work or explain your reasoning here:

A: We want to calculate ϕ(41)

Q: 6) n - 3 = V 44 – 4n

A:

Q: 1 6. V1+ Vrdx 0,

A: Step: 1 Given that  ∫011+xdxTake y=∫011+xdx---(1) let 1+x=t⇒x=t-1---(2)differentiating on both…

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

A:

Q: 2) Use linearization to approximate the value of 7.99 +(7.99)².

A:

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y&gt;-x2-22x-y ≥-3

Q: 2. Ф(24) Answer:

A: We want to find ϕ(24)

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: ind / ( 2² +42 +5) de dx + C

A: To find ∫2x5+4x+5 dx.

Q: 8. 2 k=1 3k

A:

Q: 1 5. What is equivalent to 81

A:

Q: Simplify. 7/16-V54

A:

Q: 12. Sx-7 4x-1

A:

Q: 214 8.

A:

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: 5x + 8 = 78

A: We Solve the Equation, Find The value of x.  Given Equation is 5x+8= 78.