Varun Indurthi

University of British Columbia
Tutor

Biography

Passionate statistician and an educator. I have been teaching students of all grades for over a decade now.

Education

BS Physics
University of British Columbia

Educator Statistics

Numerade tutor for 3 years
616 Students Helped

Topics Covered

The Power of Algebraic Language: Unlocking Mathematical Potential
Mastering Equations and Inequalities: Your Guide to Mathematical Success
Understanding Complex Numbers: A Comprehensive Guide
Unlocking the Power of Confidence Intervals: A Comprehensive Guide
Mastering Matrices: An Introduction to the Fundamentals
Functions
Unlocking Insights with Descriptive Statistics: A Comprehensive Guide
Maximizing Accuracy with Effective Sampling and Data Analysis

Varun's Textbook Answer Videos

0:00
Introductory Statistics

Use the following information to answer the next 13 exercises: The data in Table 8.10 are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X = the number of colors on a national flag.
$$\begin{array}{|c|c|}\hline X & {\text { Freq }} \\ \hline 1 & {1} \\ \hline 2 & {7} \\ \hline 3 & {78} \\ \hline 4 & {7} \\ \hline 5 & {6} \\ \hline\end{array}$$
Calculate the following:
a. $\overline{x}=$
b. $s_{x}=$
c. $n=$

Chapter 8: Confidence Intervals
Section 2: A Single Population Mean using the Student t Distribution
Varun Indurthi
0:00
Linear Algebra and Its Applications

Solve the systems in Exercises $11-14$
$$
\begin{aligned} x_{1}-3 x_{2} &=5 \\-x_{1}+x_{2}+5 x_{3} &=2 \\ x_{2}+x_{3} &=0 \end{aligned}
$$

Chapter 1: Linear Equations in Linear Algebra
Section 1: Systems of Linear Equations
Varun Indurthi
0:00
Precalculus

Let $g$ denote the minimum wage function represented in Table. $$\begin{array}{|c|c|}\hline\text { Year } & \text { Minimum Wage (dollars) } \\\hline 1975 & 2.00 \\1980 & 3.10 \\1985 & 3.35 \\1990 & 3.80 \\1995 & 4.25 \\2000 & 5.15 \\2005 & 5.15 \\2010 & 7.25 \\\hline\end{array}$$
(a) Find $g(1975)$
(b) Find $g(1995)-g(1975)$ and interpret the result.

Chapter 3: Functions
Section 1: The Definition of a Function
Varun Indurthi
0:00
Elementary Linear Algebra: Applications Version

In each part, determine whether the equation is linear in $x$ and $y$
(a) $2^{1 / 3} x+\sqrt{3} y=1$
(b) $2 x^{1 / 3}+3 \sqrt{y}=1$
(c) $\cos \left(\frac{\pi}{7}\right) x-4 y=\log 3$
(d) $\frac{\pi}{7} \cos x-4 y=0$
(e) $x y=1$
(f) $y+7=x$

Chapter 1: Systems of Linear Equations and Matrices
Section 1: Introduction to Systems of Linear Equations
Varun Indurthi
0:00
College Algebra

The height $s$, in feet, of a cliff diver is a function of the time $t$ in seconds he has been falling. If $s$ as a function of $t$ can be expressed as $s(t)=-16 t^{2}+10 t+300,$ what is the height of the diver at 3 seconds?

Chapter 2: Functions and Graphs
Section 1: Functions and Function Notation
Varun Indurthi
1 2

Varun's Quick Ask Videos

02:41
Intro Stats / AP Statistics

The management of an OTT platform wants to determine the average
monthly time spent by individuals watching web series. The
management wants to be 95 per cent confident (z-value = 1.96) of
its findings and does not want the error to exceed plus or minus
30min. The management knows that individuals spend a minimum of
6hrs and as much as 48hrs per month watching web series. a. Calculate the sample size needed to determine the
average monthly watch time. b. Assume that the average monthly
watch time was found to be 30hrs and the population standard
deviation is known to be 3hrs. Construct a 95 per cent confidence
interval.

Varun Indurthi
02:13
Intro Stats / AP Statistics

Consider a telephone system with three lines. Calls arrive
according to a Poisson process at a mean rate of 6 per hour. The
duration of each call has an exponential distribution with a mean
of 15 minutes. If all lines are busy, calls will be put on hold
until a line becomes available. Assume that the management of
the telephone system comes up with a new criterion that no more
than 5% of customers needing to wait more than 3 minutes on hold.
Is this criterion satisfied currently? If not, calculate the
minimum number of telephone lines needed to satisfy this
criterion.

Varun Indurthi
05:33
Intro Stats / AP Statistics

Developing an appropriate sampling plan is one of the most
overlooked steps in the market research process. Using the Sampling
Design Process discussed in the prescribed book and Video Lesson
develop an appropriate sampling plan for surveying customers who
have recently had their car serviced at a local car dealership.
The four steps of sampling process are:
1. Define the target population (how do you define customers in
this context?).
2. Determine the sampling frame.
3. Select a sampling procedure.
4. Determine sample size.
Discuss and debate the profits and concerns of using the
various sampling procedures.

Varun Indurthi
01:26
Intro Stats / AP Statistics

Given a regression equation
y = 10 + 20x
SE of the model = 4
F calc = 230
Significant F = 0.000
n = 200
t = 1.97 (correct t score for 199 DOF and alpha = 0.05)
The approximate 95% confidence interval for y given x = 10 is
2 decimal places
LCL =
UCL =

Varun Indurthi
02:46
Intro Stats / AP Statistics

The United Charities annual fund-raising drive is scheduled to
take place next week. Donations are collected during the day and
night, by telephone, and through personal contact. The average
donation (in dollars) resulting from each type of contact is as
follows:

Phone
Personal
Day
18
30
Night
15
9
The charity has 18 volunteer hours available each day and 15
volunteer hours available each night. The chairperson of the
fund-raising drive wants to know how many different types of
contacts to schedule in a 24-hour period (i.e., 1 day and 1 night)
to maximize total donations. Formulate a linear programming model
for this problem.

Varun Indurthi
01:35
Intro Stats / AP Statistics

Moving companies are required by the government to publish a performance report each year. One of the descriptive statistics they must include is the annual percentage of shipments on which a $50 or greater claim for loss or damage was filed. Suppose two companies, Company A and Company B, each decide to estimate this figure by sampling their records, and they report the data shown in the table below. The owner of Company B is hoping to use these data to show that the company is superior to Company A with regard to the percentage of claims filed. Which test would be used to properly analyze the data in this experiment?

Total shipments sampled: Company A: 900
Total shipments sampled: Company B: 750
Number of shipments with a claim ≥ $50: Company A: 162
Number of shipments with a claim ≥ $50: Company B: 60

A. Separate variance t-test for the difference between two means
B. t-test for the difference between two means
C. F-test for the ratio of variances
D. Z-test for the difference between two proportions

Varun Indurthi
1 2 3 4 5 ... 76