, Let X1, X2, ,X, be a sequence of i.i.d. Bernoulli(p) random variables and let Y, = E X/n. Show that Vn(Yn - p) N(0, p(1 - p)) in distribution.

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: 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: 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: 6/4 - 2/4

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

Q: 7 items chosen 5 at a time

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: 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: 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: -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: -3n in

A:

Q: 6 3/20 - 6 3/8

A:

Q: Find the P-value for a left-tailed hypothesis test with a test statistic of z= - 1.80. Decide…

A: The random variable z follows normal distribution. It is given that value of test statistic is z =…

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: 5 2/5+ n= 75/6

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

Q: 8-12 (²

A: -83

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

A: We have

Q: 土4 7

A:

Q: 22 7/8 - 7=

A: Given,

Q: 3 3/4 + 2 7/28

A:

Q: 4) /

A: Using By Parts rule of integration.

Q: nvert

A:

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…

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: 1/20+1/10+1/4

A: