Binomial DIST
Can this be solved with a binomial distribution?
What is the probability that it rains 10 days in a row?
I gave no indication of what the probability could possibly be (P or 1-P), so no.
When you find the expected value of a situation, what do you do? (Hint: what is the equation)
Sum of all events multiplied by their probabilities.
If I say "Order does not matter" is this a combination, or a permutation?
Combination.
You spin a spinner with 4 equal sections (red, blue, green, yellow), then roll a six sided dice. What is the probability you land on purple and roll a 4 or 6?
0. There is no purple on the spinner.
What is the sample space of US dollar bills (how many types of bills are there in the United states)?
7 types ($1, $2, $5, $10, $20, $50, and $100)
Can this be modeled with a Binomial Distribution.
P=1.1, (1-P)=-.1, n=25, x=8
NO! (P is greater than 1)
If Expected Value is negative, what does that mean?
It is how much you can expect to lose.
A password needs 5 numbers (from 1-9), 3 letters (one of which is capitalized), and a special character (EX: !,@,$,#, etc.) in a specific order to open a computer.
Is this a Combination or a Permutation?
Order matters, Permutation.
What does it mean when probability of an event is greater than 1?
This NEVER happens/ it's impossible.
A family consists of 3 children. How many ways can the family have two boys and a girl?
3 ways. (BBG, BGB, and GBB)
What is the probability of throwing 50 free throws and making all of them? Assume you have an accuracy of 95%.
BTW 50C50=1
.0769 or 7.69%
$250(1/100)+$0(99/100)= $2.5
If you have 9 pairs of shoes, how many combinations can you make if you have to wear a different pair every day for a full week?
9C7 = 36
Every day, 1 person out of the 250 people that walk through the local forest sees a moose. What is the probability of seeing a moose on any given day?
1/250 or .004 or .4%
What is the sample space of two fair coins, flipped at the same time?
Every time Mr. Leonard sees a romance film, there is a 55% chance he will fall asleep. If he sits through 9 romance films what is the probability he falls asleep during 7 of those films? (9C7=36)
.1109 or 11.09%
100 burgers sold in total.
85 burgers weighing half a pound. 14 burgers weighing a pound. 1 burger weighing 8 pounds. What is the Expected Value?
.85(1/2) + .14(1) + .01(8) = .645 or 64.5% of a pound.
If my neighbors have 5 kids and they want to take 2 of them to the ice cream store. In how many combinations can they take their kids to get ice cream?
(5C2)= 10
You draw a card from a standard deck of 52 cards and replace it. If the first card drawn was a red card, does the probability of pulling a black card next go up or down?
It stays the same.
You roll a six sided dice, spin a spinner with 4 unique equal parts, and flip a fair coin.
How many outcomes are in this sample space?
6*4*2= 48
Can this be solved by using a binomial distribution?
"Mr. Leonard has a cheater's coin that comes up heads 1% of the time, and tails 99% of the time. What is the probability Mr. Leonard flips this coin ten times and gets heads every time?"
YES.
You have a grab bag:
1 dollar (97%), lose 50 dollars or -50 (2%), 100 dollars (1%). What is the expected value?
1(.97) - 50(.02) + 100(.01)= .97 dollars or 97 cents.
How many combinations can you make if you select a pair of coyotes from a group of sixty?
30C2 = 1770 Coyotes
What is the probability of pulling EITHER a red card or a King from a standard deck of 52 cards?
16/52 or .3076 or 30.76%
If a store has 60 brands of sneaker, and each sneaker can come in 3 different styles (muted, colorful, and Designer). How many total shoes can be made?
60*3 = 180 shoe options.