Q3. Using the following data on water consumptions in 7 cities - (a) Determine an expression for the expected value of water consumption given the population. (b) Plot the above expected value along with its 95% CI. (c) For a city having population of 100,000, what is the probability that the expected value of water consumption will exceed 70 x 106 liters per day? (d) For the same city, what is the probability that actual water consumption will exceed 70 x 106 liters on any given day? Water Consumption (10 liters/day) 4.8 City Population (10') 1 12 40 20.8 60 31.2 4. 90 51.8 5 120 74.0 6. 135 89.2 7 180 126.0

Q: dactonive: 2. 2.

A: To factorise x2y2z2-16 ⇒x2y2z2-42 We know that a2-b2=a+ba-b Here a=xyz and b=4

Q: 2. 3. 8. 5.

A:

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: We need to find lower and upper estimate.

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: 4(2w-5) = 5w + 4 %3D

A:

Q: (5V3)2

A: Explanation of the solution is given below...

Q: N. 15 12

A:

Q: 7,20

A:

Q: 619 d. 4 10

A:

Q: 3) 24 12

A: We can find the value of x as below

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: d 6

A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: 5. 20 52

A:

Q: 3. 18

A:

Q: 4 4 2 4) 3 4.

A: Topic- shifting and scaling of figure

Q: 10 4 2.

A: Solution-

Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: 14 and 16

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: - 2 4. - 3 V22 4 2/7 41M

A:

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.