P[N;(1) = k/{N¡(1) + N2(t) = n}] = nC p q"-k, where and q = P = 21 + 12 21 + 12

Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

A:

Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: Show that P(n, 1) + P(n, 2) = (22) – 2 (2), for integers n ≥ 2.

A:

Q: * n(A) = 11- n(A J B) = 15. and n(B) = 13, what is n(ANB)? n(ANB)

A: Solution: From the given information,

Q: Suppose that 7 '(t) = and 7 (0) = . Find 7(t) 7(t) = <

A: Suppose that r→'t=12t,e0.2t,t and r→0=1,-1,4. Then we have to find r→t=?

Q: (b): Evaluate: (8t³ – 9t² + 10)dt

A:

Q: (f) The sum of the squares of the odd integers between 0 and 100.

A: Explained below

Q: 2. (s² +5

A: The given function is -tcos5t To find the Laplace transform of the given function proceed as follows…

Q: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: 7(t-3)=6t+21

A:

Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

A:

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: [A(BxC) = -(AxC)xB -(A*B)-C -(AxC)-B

A:

Q: Q7// Evaluate f -64 -dy

A:

Q: Evaluate L-1{ S (s² + 169) (s - 2) 2

A:

Q: S(10) for √3 - 3 + 3√3+...

A:

Q: x(n) = (0.8)" (-n-1) 1-(00) O 2 O otherwise -1 1-(00) 1-(08) +1 0 4JA O 3 JA

A: Topic:- z transform

Q: Find L[cosh 7t] s2-49 7 s2+49 s2+49 7 2 O O O C

A:

Q: 2-メ Compite lim %3D Xラム z(T-X)

A:

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Lind f(t), f(s) = 5+1 2 5² +5-6

A: We need to find the function by inverse Laplace transformFormulas::First, we break the given…

Q: For X - N(8, 6²), what is P(16 < X < 20)?

A:

Q: 4-|x|= 2x+1

A: Solve the equation 4 − |x| = 2x + 1 for x.

Q: Find L-

A:

Q: Show that * y = (y² – r*)(2² – x*)(2² – y³)

A:

Q: Losses in 1993 follow the density function fX(x) = 3x−4,x > 1 where x is the loss in millions of…

A: Given The losses in 1993 follow the density function    f(x)   =  3x-4  x&gt;1 where x is the loss…

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

A:

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: L(3tcos2t) is equal to? Select the correct response: O [3(s? + 4)]/(s? - 4) O (3s2 - 12)/(s² + 4)² O…

A: Laplace transferom of the function

Q: r(z) = 31* +41² + 71 + 4,

A: Express mathematically the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Let the given…