Let Y = {0, 1} be a binary variable. Given the model Y = 30 + B1X + u, show that a. P(Y = 1|X) = ³0 + 31x b. Var(YX) = (BO + B1X)[1 − (BO + B1X)] -

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: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: 75 - 3.5y - 4y = 4y + 6

A:

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: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

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

A: We will solve the problem.

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

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A:

Q: 4n – 1

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

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

A:

Q: n?_4

A:

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: We are going to calculate the standard deviation for the following set of sample data. 11,3,9,12,1…

A: Here the given data values are :11 , 3 , 9 , 12 , 1Total no. Of data , n = 5We have to calculate the…

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

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A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

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: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: [ 8x³(4x² + 1)12dx

A:

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

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

Q: There are 1/8 blue balls, 1/4 green balls, 1/12 red balls and there are 26 white balls. How many…

A:

Q: 10. 15gr, 20s

A: Given

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A: Given that: 57-24

Q: 6 3/20 - 6 3/8

A:

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

Q: Compute the indicated product.   -1 3   9 2 0   3 9 3

A:

Q: 4 1/2 +6 1/5=

A: We have

Q: 2/5 +7/12

A: Please see the answer below.