The following random sample was obtained from a normally distributed population with an unknown population mean u and unknown population variance o2: - 4.9 17.1 6.5 4.4 7.5 9.2 7.9 22.3 Compute a) an unbiased estimate of the population mean (µ); b) an unbiased estimate of the population variance (o?); c) an unbiased estimate of the variance of the sample mean Var(X); d) a 99% confidence interval for the population mean. Explain what distribution you use to obtain the critical values and why.

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: 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: 7/2 + 3 4/6

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: 9/12+3/24

A:

Q: 4/11+3/8

A: Topic:- simplification

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: factors of 20 that add up to 9

A:

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

A:

Q: 6 2/5 ÷ 4

A: Given query is to solve the expression.

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

A:

Q: Expand (a −b)4

A:

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

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

Q: 57-24

A: Given that: 57-24

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: (1– 3csc(

A:

Q: 1 3 8.

A:

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

A:

Q: 29 Using the combination formula expand (5+x)

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: 土4 7

A:

Q: 22 7/8 - 7=

A: Given,

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…