4- Suppose that y is N3(4, 41) and let 2 -2 -41 -1 3 H = 2 3 4. %3D 1 -2 -3 What is the distribution of 4.

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 10 8/10 + 9 7/12=

A:

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

Q: 4n – 1

A:

Q: 3 1/4 + 7 1/8

A:

Q: 22n+1 3n+1 2.

A:

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: n?_4

A:

Q: 1 7. 27 2.

A:

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: 20/5+5+2*8

A: Consider the given expression

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: Expand (a −b)4

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 5 7/12 + 1 3/4 + 4 1/2

A: Given that 5712+134+412Solution  :5712+134+412=57+39+24612

Q: 6 3/20 - 6 3/8

A:

Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: (1– 3csc(

A:

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 8-12 (²

A: -83

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

Q: 2 1/64 + 1 27/32 =

A:

Q: 4) /

A: Using By Parts rule of integration.

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: The expansion of 500P3 is

A: 500P3 is a permutation term that gives the number of ways of arranging different combinations of…