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Symbol  Symbol Name  Meaning / definition  Example 

P(A)  probability function  probability of event A  P(A) = 0.5 
P(A ∩ B)  probability of events intersection  probability that of events A and B  P(A∩B) = 0.5 
P(A ∪ B)  probability of events union  probability that of events A or B  P(A ∪ B) = 0.5 
P(A  B)  conditional probability function  probability of event A given event B occured  P(A  B) = 0.3 
f (x)  probability density function (pdf)  P(a ≤ x ≤ b) = ∫ f (x) dx  
F(x)  cumulative distribution function (cdf)  F(x) = P(X≤ x)  
μ  population mean  mean of population values  μ = 10 
E(X)  expectation value  expected value of random variable X  E(X) = 10 
E(X  Y)  conditional expectation  expected value of random variable X given Y  E(X  Y=2) = 5 
var(X)  variance  variance of random variable X  var(X) = 4 
σ^{2}  variance  variance of population values  σ^{2 }= 4 
std(X)  standard deviation  standard deviation of random variable X  std(X) = 2 
σ_{X}  standard deviation  standard deviation value of random variable X  σ_{X} = 2 
median  middle value of random variable x  
cov(X,Y)  covariance  covariance of random variables X and Y  cov(X,Y) = 4 
corr(X,Y)  correlation  correlation of random variables X and Y  corr(X,Y) = 0.6 
ρ_{X,Y}  correlation  correlation of random variables X and Y  ρ_{X,Y} = 0.6 
∑  summation  summation  sum of all values in range of series  
∑∑  double summation  double summation  
Mo  mode  value that occurs most frequently in population  
MR  midrange  MR = (x_{max }+ x_{min}) / 2  
Md  sample median  half the population is below this value  
Q_{1}  lower / first quartile  25% of population are below this value  
Q_{2}  median / second quartile  50% of population are below this value = median of samples  
Q_{3}  upper / third quartile  75% of population are below this value  
x  sample mean  average / arithmetic mean  x = (2+5+9) / 3 = 5.333 
s ^{2}  sample variance  population samples variance estimator  s^{ }^{2} = 4 
s  sample standard deviation  population samples standard deviation estimator  s = 2 
z_{x}  standard score  z_{x} = (xx) / s_{x} 

X ~  distribution of X  distribution of random variable X  X ~ N(0,3) 
N(μ,σ^{2})  normal distribution  gaussian distribution  X ~ N(0,3) 
U(a,b)  uniform distribution  equal probability in range a,b  X ~ U(0,3) 
exp(λ)  exponential distribution  f (x) = λe^{λx} , x≥0  
gamma(c, λ)  gamma distribution  f (x) = λ c x^{c1}e^{λx} / Γ(c), x≥0 

χ^{ 2}(k)  chisquare distribution  f (x) = x^{k}^{/21}e^{x/2} / ( 2^{k/2 }Γ(k/2) ) 

F (k_{1}, k_{2})  F distribution  
Bin(n,p)  binomial distribution  f (k) = _{n}C_{k} p^{k}(1p)^{nk}  
Poisson(λ)  Poisson distribution  f (k) = λ^{k}e^{λ} / k!  
Geom(p)  geometric distribution  f (k) = p(1p)^{ k}  
HG(N,K,n)  hypergeometric distribution  
Bern(p)  Bernoulli distribution 
Neha
I'm an undergraduate at UC  San Diego studying bioengineering. I love math and science topics, and bioengineering is plenty of both. I've experience as a teacher at a dance school, working with young girls to help them learn classical dance. My experience taking dance moves and breaking them down into individual steps has made me skilled in deconstructing concepts and explaining the details. I'm a very logical person, I'm patient, and I enjoy working with kids. I also volunteer at a research lab, and I'm on a competitive dance team. I'm looking forward to tutoring students in algebra, physics, calculus, geometry, multivariable calculus, statistics, trigonometry, biology, biostatistics, chemistry, microbiology, and other similar subjects.Education
University of CaliforniaSan Diego  Bachelor of Science, Bioengineering: Biotechnology
Subjects
Chemistry
Calculus 2
College Algebra
English
+31 subjects
Michael
I'm attending the University of Missouri  St. Louis for my doctoral degree. I love education, music, and math. I've been tutoring since I was a high school student, and I'm skilled at explaining things to people in ways that they can understand. I've had the opportunity to teach at the high school level, the middle school level, the community college level, and in universities, leading courses in math and the sciences. From my experiences as a student and as an educator, I've come to realize that the most effective teachers are those who enjoy the subject and are active participants in the subject's application. As a researcher, I study signal processing, coming up with ways to integrate music into everyday life. In my free time, I enjoy learning about other cultures and their food, listening to music, watching movies, reading, and riding my bike. I'm looking forward to tutoring students in algebra, calculus one through three, differential equations, geometry, quantitative reasoning, physics, multivariable calculus, statistics, trigonometry, and test preparation for the ACT, GRE, SAT, PSAT, and others.Education
University of Missouri, Rolla  Bachelor of Science, Applied Mathematics
University of Missouri, Saint Louis  Master of Arts, Mathematics
Subjects
Calculus 2
Elementary Math
Other
Differential Equations
+41 subjects
Ken
When I tutor students, I like to help them understand the topic and to develop study skills and test taking skills. I have 17 years of experience teaching physics, and I'm certified as a high school physics teacher. I have also taught community college math courses. I'm looking forward to helping students understand algebra one and two, calculus one through three, differential equations, geometry, multivariable calculus, statistics, geometry, chemistry, physics, and other related math and science topics. I can also help students prepare for AP exams, the GRE, the SAT, ACT, and other standardized tests. In my free time, I like to bike and jog.Education
Cornell University  Bachelor in Arts, Physics
Cortland State  Master of Science, Secondary Science Education
State Certified Teacher
Subjects
Quantitative Reasoning
Algebra 2
Calculus 2
Multivariable Calculus
+23 subjects