Apratim De

Central European University
TA, online tutoring

Biography

I have a BS in Math and CS and an MS in Applied Math. I have worked in industry for a while. Currently I am pursuing a PhD in Math with a focus on Convex Geometry.

Education

MS Applied Mathematics
Central European University
Phd Mathematics
Central European University

Educator Statistics

Numerade tutor for 5 years
246 Students Helped

Topics Covered

Maximizing Accuracy with Effective Sampling and Data Analysis
Unlocking Insights with Descriptive Statistics: A Comprehensive Guide
Exploring Probability Topics: From Basics to Advanced Strategies
Exploring the World of Derivatives: A Comprehensive Guide

Apratim's Textbook Answer Videos

07:16
Applied Statistics and Probability for Engineers

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 20 bricks is selected.
(a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
(b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

Chapter 5: Joint Probability Distributions
Section 1: Two or More Random Variables
Apratim De
05:23
A Course in Calculus and Real Analysis

Let $f:(a, b) \rightarrow \mathbb{R}$ be a function such that
$$
|f(x+h)-f(x)| \leq C|h|^{r} \quad \text { for all } x, x+h \in(a, b),
$$
where $C$ is a constant and $r \in \mathbb{Q}$ with $r \geq 1$. Show that $f$ is differentiable on $(a, b)$ and compute $f^{\prime}(x)$ for $x \in(a, b)$.

Chapter 4: Differentiation
Apratim De
1

Apratim's Quick Ask Videos

04:08
Intro Stats / AP Statistics

Based on experience, 60 percent of the people who enter a shoe
store make a purchase. In a random sample of 12 people who enter a
shoe store, what is the probability that at least 10 make a
purchase?
a.
0.1424
b.
0.0639
c.
0.0835
d.
0.0196

Apratim De
02:54
Calculus 1 / AB

A car is being driven at 60 mph before the brakes are applied, causing it to decelerate at a constant rate of 12 ft/s^2.
How long does it take for the car to come to a stop?

Apratim De
09:45
Calculus 3

Prove that [2,5] and (3,4) have the same cardinality.

Apratim De
01:37
Calculus 3


Check if the following statement is TRUE or FALSE.
Let a > 0 be a real number. Prove there exists an
ε-neighborhood (ε > 0) Vε(a) of a such that
x > 0 for all x ∈ Vε(a).

Apratim De
02:41
Calculus 1 / AB

A water truck's tank has internal dimensions of 12.4 meters in length and 2.3 meters in diameter. If the truck's load of pure water is 70 percent of full tank capacity, how heavy is the load in pounds? Water has a density of 62.4 lbm/ft^3.

2. In kilograms, what is the weight of the load if the truck carries high fructose corn syrup instead of water? The density of corn syrup is 1.4 g/ml.

Apratim De
03:05
Calculus 1 / AB

At what point on the y-axis does the line segment joining (1, 1)
and (9, 7) subtend the greatest angle? With explanation and
detailed solution.

Apratim De
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