Probability Rules
While probability can describe likelihood for something to occur, it can be measured through analyzing it through this lens.
What is long-run relative frequency?
This is the term for a trial with exactly two possible outcomes (success or failure) for which each trial has the same probability of success.
What is a Bernoulli trial?
This is the term for the shape of a normal distribution.
What is a bell curve?
Given the following probability distribution, this is the mean:
P(X=0)=0.1 ;
P(X=2)=0.3 ;
P(X=4)=0.2 ;
P(X=6)=0.3 ;
P(X=8)=0.1
What is 4?
This fictional writer wrote the stories of Derrick Storm and Nikki Heat.
Who is Richard Castle?
This is why if P(A) = .65 and P(B) = .45, then A and B cannot be mutually exclusive.
What is because P(A) + P(B) > 1, which means P(A ∩ B) > 0?
If x~B(50,0.025), then this is the standard deviation of X.
What is 1.10?
What is the probability of a continuous random variable having a specific discrete value is approximately zero?
Given the following probability distribution, this is the standard deviation:
P(X=1)=0.3 ;
P(X=2)=0.4 ;
P(X=3)=0.2 ;
P(X=4)=0.1
What is 0.943?
This is how many happy haunts are said to preside in Disney's The Haunted Mansion.
What is 999?
If P(A) = 0.5, P(B) = 0.4, and P(A ∪ B) = 0.7, then this is whether A and B are independent and why.
What is yes because P(A) * P(B) = P(A ∩ B)?
(0.5 * 0.4 = 0.2 = 0.5 + 0.4 - 0.7)
If X~B(75,0.002), the this is P(X>0).
What is about 86.1%?
This is the approximate probability that a normal random variable takes a value more than two standard deviations greater than the mean but less than three standard deviations greater than the mean.
What is about 2.35%?
If the distribution of the amount of water filled in bottles from a factory is distributed normally with a mean of 1.12 ml and a variance of 0.0016, this is the probability of selecting one filled with more than 1.15 ml.
What is 22.7%?
This character has the nonsensicle catchphrase "bork bork bork".
Who is the Swedish Chef?
If P(A) = 0.2, P(B) = 0.5, and If P(A|B) = 0.3, then this is P(B|A).
What is 0.75?
What is 75%?
If a coin is flipped 100 times, this is the probability of it landing on heads at least 60 times.
What is 2.84%?
If X~N(80.5,3.85), this is the probability that X is between 77 and 87.
What is about 77.3%?
A card is randomly taken out of a standard 52-card deck. Without replacement, another card is then taken out of the deck. This is the probability that one of the cards is a 10 or a face card and the other card is an Ace (it does not matter in which order).
What is 32/663?
What is 4.83%?
This is the only Pokémon move that simultaneously attacks as two different types.
What is Flying Press?
When a fair 5-sided die is rolled and weighted coin, such that it lands heads two and a half times as often as it lands tails, is flipped, this is the probability that the die lands on a prime number or the coin lands on heads.
What is 31/35?
What is about 88.6%?
If X~B(42,0.35), then this is P(13 < X < 18).
What is about 46.4%?
If X~N(56,8.5) and P(X > n) = 0.15, then this is the value of n.
What is about 64.8?
If the distribution of heights of a population of penguins, distributed normally, has a mean of 115 cm and a standard deviation of 5 cm, in a sample of 20 of the penguins, this is the probability of at least 5 of them being at least 120 cm tall.
What is 20.2%?
This was the biggest export of the ancient Phoenicians, who created the common alphabet.
What is [Tyrian] purple dye?