1 (1 minute)
112
2 (1 minute)
Larger
3 (3 minutes)
1
   4 x( x  x 3 )dx  4 / 3  4 / 5  8 / 15  0.533
0
4 (5 minutes)
4
   4 x 2 ( x  x3 )dx  8 / 152  (1  4 / 6)  (8 / 15)2  11/ 225  0.0489
2
0
  11 / 225  0.2211
5 (2 minutes)
You should tell him to take a stats class. There is no expected value for categorical data
6 (4 minutes)
This problem is not normal, and the sample size is not large enough to use the Central Limit Theorem
Cannot be done
7 (5 minutes)
x
s
1  3  8  19  89
 24
5
1  242  3  242  8  242  19  242  89  242
5 1

5476
 37
4
8 (4 minutes)
z
30  50
 2.26
25
8
P=0.0116
9 (6 minutes)
 1.75 
x  12
6.29
X=0.9925
10 (3 minutes)
The Gamma (this is waiting until the rth – 8th occurrence out of potentially infinitely many)
11 (5 minutes)
X (pings)
0
1
2
3
4
5
f(x)
0.40
0.30
0.20
0.05
0.03
0.02
F(x)
0.40
0.70
0.90
0.95
0.98
1
.3+.4=.7
.2+.3+.4=.9
12 (3 minutes)
13 (3 minutes)
z
517  445
 11.07
13
4
P=1
14 (4 minutes)
P( -2.5 < z < -1) = .1587-.0062 = 0.1525
15 (1 minute)
What should a statistician do for the world’s greatest wife for Valentines? (budget: $10, rated PG)
I don’t have a romantic bone in my body, and I question if there’s
anything PG rated that only costs $10 beyond a couple of roses or
renting a movie
IDK
Very funny
Scavenger Hunt that ends with an awesome surprise
Classic dinner and a movie
Since you only have $10 and you are a statistician create some
kind of formula to calculate ways to ask her out for a romantic
dinner
Buy her the most candy possible for $10
Buy her chocolate
Buy her chocolates
Buy her chocolate and candybar
MMMM – Women love chocolate
Chocolate with the probability that one will have coconut
Buy her chocolate and make her a mixtape (or CD)
Buy her some chocolate and a rose
Take her to the dollar menu at McDonalds, and then rent a Netflix
movie
Dinner at McDonalds or Burger King if you’re feeling expensive
Go to Applebees for wings since Valentine’s Day is on Thursday
when they have their special!
Cook her a nice dinner + have flowers for her!
Bake her some cupcakes!
For only $10…. I’d rent a movie and buy some snacks for an
evening together. My first thought was cook her something
special, but there’s a good chance that’ll cost more
Buy a 5 dollar movie, some candy, and have a date night
I say buy Mulan and watch it because it’s a great movie. Or buy
her a bunny
Dandylion flowers and the original Ice Age
The Princess Bride
Go see Warm Bodies at the FOX Theater!
I would suggest going to a movie. My boyfriend and I LOVED
seeing Warm Bodies (hint: Tuesday the FOX is ½ price movie
night)
Redbox + couch + TV = Happy Wife
A new pair of mittens
Buy her a teddy bear!
Buy a Superman costume to wear for her. Cost $8
Flowers will always do, but increasing the budget is also suggested
Flowers chocolate and a movie
Buy her roses 
Buy flowers, have a friend deliver them to her at work, cook her
dinner
Buy her a cute card
Bring out the kid in her by making her a Valentine heart out of red
construction paper
Buy a bag of chocolate and a box of cheesy valentines (I use
Teenage Mutant Ninja Turtles) and then leave them in places that
she will find
Write a note with a blank “Honey to do List” so she can fill it out
for you to do
Give her a kiss and tell her something sentimental. $10 saved
Sing “Every little thing you do is magic” by Sting + the Police (+
buy her chocolate)
Sing her a love song in Portuguese, and get two #14’s from Jimmy
Johns
Leave a note in her jewelry drawer saying “I love you” and make
sure you’re entering the room as she reads it.
Spend quality time with her
Bowling
Go for a winter walk. If it’s snowing, perfect. Use hand warmers
Star gazing w/ a bottle of wine, cheese + crackers
Take her out for a picnic, Laramie river is a nice place
Hang on to her forever if you only have to spend $10 on her!
Give her the $10
Find the probability of your wife getting angry with this budget
Consider allocating more funds – or – look into the probability of
winning the lottery with $10
Find a way to statistically prove how your wife is the world’s
greatest and put it in a Vday card
Give her a free lecture on basic statistics and then test her on the
probability that this might happen
Buy a scale. Bigger is always better