Can you do what I did Jeopardy?

Nutrition

100

Celiac Disease is an immune response to what?

Gluten

200

What is the difference between an essential and nonessential nutrient?

Non-essential is made in the body

Essential is not made in the body

300

How many kcals per gram are there in 1 gram of Carbohydrate?

4 kcals/g

400

According to BMI classifications, someone who has a classification of 25.2 would fall into what weight category?

(Underweight, Normal Weight, Overweight, Obese, Morbidly Obese)

Overweight

500

Osteomalacia can result in a deficiency of what vitamin?

Vitamin D

Osteomalacia is the loss of minerals in the bones

Differential Equations

100

What is the derivative of x⁶⁹ ?

69x⁶⁸

200

Yes or no, y = sin(x) is a solution of (dy/dx)² = 1-y

Yes

300

Is this equation linear:

y''' - 12y² + 48y' - 64y = 0 

No

400

What is the ninth derivative of e^x ?

e^x

500

What is the antiderivative of cos(x) ?

sin(x)

Probability

100

Please show me the correct way to write the following:

The union of two events, A and B

A U B

200

What is the compliment of event A equal to? 

(hint: A^c = ?)

A^c = 1 - A

300

A Bernoulli trial can have two results, what are the two results?

Success and Failure

400

Match these equations with their proper functions: 

MGF, Var(X) (Variance)

1. Σ e^tx ✕ f(x)

2. E[X²] - (E[X])²

MGF = 1

Var(X) = 2

500

Which of these is an example of a Poisson Random Variable and what is it's proper support?

(Hint: Support is written as X~Poiss (λ) where λ will be a number)

a.) On average you see 6 dogs every 30 minutes at the park.

b.) The number of times you roll a 2 with a dice in 5 trials

c. ) The number of times it takes you to pass your drivers test, knowing you have 7/8 chance to pass each trial

a.) and X~Poiss (6)

Intro To Mathematical Statistics I

100

What is the proper support variable for random variable X?

χ (Chi)

200

What does i.i.d stand for in terms of random variables?

Independent Identically Distributed (random variables)

300

What is the correct formula for the Binomial Theorem?

(For reference, there are three variables/constants in the theorem)

( a + b ) ⁿ

400

Identify which distribution corresponds to which function?

MX(t) = (4/5+1/5e^t)³⁷ , t ∈ for all real numbers

MX(t) = 9e^t/10-e², t < −ln(1/10)

(Hint: X~Binomial (n,p) and X~Geometric (p))

X~Binomial (37, 1/5)

X~Geometric (9/10)

500

If f(a) x f(b) ≠ f(a,b), are a and b independent?

No they are not independent

History of Mathematics

100

What base system did the ancient Babylonians use in their number system?

(for reference, our modern day number system is base 10)

Base 60

200

What number does these Roman numerals equate to?

CXXXIV

134

300

In approximately what year was 0 finally accepted as a real number?

Approximately 800 AD

400

Mesopotamia had the first written symbols denoting numbers, what did the symbols look like and what two numbers did they symbolize?

1, 10

500

Who discovered the Pythagorean Theorem first?

1.) Ancient Egyptians

2.) Babylonians

3.) Pythagoras of Samos

4.) The Mathematikoi

Babylonians in approximately 600 BC