Addition/Multiplication Rule
When do you use the multiplication rule?
When the events are independent of each other.
What is an expected value?
Predicted value of a variable based on its long run expectation
How many possible outcomes are there for the Bernoulli trials?
2
Success and Failure
What does CLT stand for?
Central Limit Theorem
What are mutually exclusive events?
Two events that cannot happen at the same time
30% of Americans are dog owners, and 25% are cat owners. 17% of Americans own both a dog and a cat. What percentage of Americans only own a cat?
8%
25%-17%=8%
What are the two types of Bernoulli trials?
Geometric Model
Binomial Probability Model
If the sample size increases, what happens to the sampling distribution of P hat?
The standard deviation would change.
Roughly 8% of the American population has asthma. If students selected at random, find the probability that none of the five people you see in the hall have asthma.
65.9%
.92^5
Suppose you are at Price Chopper, and you buy an apple (average weight of 140 oz with a standard deviation of 3 oz), and an orange (average weight 153 oz with a standard deviation of 4 oz). What do you expect the combined weight of an apple and an orange? With what standard deviation?
M-293 oz
SD-5 oz
The probability of seeing someone that is bald is 9.4%, what is the probability that the first person that you see that is bald is the 8th person you meet?
4.71%
The CDC reported that the mean weight of adult men is 190 lb with standard deviation of 59 lb. An elevator has a weight limit of 10 people, or 2500 lb. What is the probability that if 10 men get on the elevator, it will overload the weight limit? Assume all conditions were met.
.07%
Tabor puts 5 apples inside 50 boxes. Mike and Tyler each take a box, hoping to find an apple. What are the chances they both find an apple?
0.816
5/50*4/49
What is the Pythagorean Theorem of Statistics?
SD2(A+B)=(SD1)2+(SD2)2
A new sales gimmick has 30% of skittles covered with speckles, they are mixed randomly with normal candies as they are put into bags for distribution and sale. You buy a bag removing one at a time looking for speckles. What is the probability that we'll find at least three speckled ones out of six candies?
25.56%
Daily Double
Lose 2 turns
Oof