Probability
Calculus
Christmas
Random
100

A uniform discrete random variable X has values x=1,2,3,4,5.

What is the P(2)

what is 1/5

100

find the derivative of x2e2x

what is 2xe2x + 2x2e2x

100

What words follow "Silent Night" in the song?

what is "holy night"

100

What is the official language of the USA?

what is none

200

A container holds 5 blue, 3 white and 7 yellow marbles. 

If two marbles are chosen at random, what is the probability of choosing a blue and a white marble?

What is 1/7

200

find the derivative of (2x+1)4

what is 8(2x+1)3

200

What are the two other most popular names for Santa Claus?

Who are Kris Kringle and Saint Nick

200

What country in the world produces the most coffee?

what is Brazil
300

Two dice are rolled. What is the probability of getting at least one 6?

What is 11/36

300

find the derivative of ln(4x+5)

what is 4/4x+5
300

When should you take down your Christmas tree?

when is December 31st, before midnight

300

What two letters in Scrabble are worth 10 points?

what is Q and Z

400

Out of a group of 20 students, 12 play soccer, 5 play soccer and rugby, 4 students play neither. 

What is the probability that a student chosen at random plays rugby only?

what is 1/5 (20%)

400

find the derivative of (tanx)/x

what is (xsec2x - tanx)/x2

400

Which one of Santa's reindeer has the same name as the mascot of a different holiday?

who is Cupid

400

Before 1939, what was the official name of Thailand?

what is Siam
500

John has a 5% probability of passing on a defective gene to his daughter and a 2% chance of passing the defective gene to his son. The probability of John having a son is 51%. 

What is the probability that John has a son, given that he has passed on the defective gene?

what is 29%

500

find the derivative of exsin(2x)

what is (sin2x+2xcos2x)exsin2x

500

In the movie Elf, what was the first rule of "The Code of Elves"?

what is treat every day like Christmas

500

What is a lie detector called?

what is a polygraph

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