IEE 380 MAIN STUDY GUIDE QUESTIONS AND ANSWERS
SURE A+
✔✔random experiment - ✔✔a procedure that is carried out under controlled conditions,
is executed to discover an unknown result, and results in DIFFERENT outcomes even
when repeated in the same manner every time
✔✔discrete sample space - ✔✔a sample space that consists of a finite or countable
infinite set of outcomes
✔✔discrete random variable - ✔✔a variable with a finite or countably infinite range. its
values are obtained by counting
number of scratches on a surface
number of defective parts among 100 tested
✔✔continuous sample space - ✔✔a sample space that contains an interval of real
numbers
✔✔continuous random variable - ✔✔a variable with an interval(either finite or infinite) of
real numbers for its range. its values are obtained by measuring
electrical current and voltage
time
✔✔Probability Mass Function (PMF) - ✔✔a mathematical relation that assigns
probabilities to all possible outcomes for a discrete random variables
✔✔Cumulative Distribution Function (CDF) - ✔✔cdf gives the probability that a random
variable will be less than or equal to specific values
the cdf for a random variable X may be expressed as F(X)=P(X<=x)
given the cdf for a random variable, the probability that an outcome will be less than or
equal to a specific value is represented by the area under the probability distribution to
the left of that value
✔✔Expected Value, Mean - ✔✔E(X) =Σ(all x) x*p(x)
✔✔Variance - ✔✔V(X) = E(X^2) - μ^2
✔✔standard deviation - ✔✔the square root of the variance
✔✔E(X^2) - ✔✔E(X^2) =Σ(all x) x^2*p(x)
✔✔Bernoulli PMF - ✔✔p(x) = p^x * (1-p)^(n-x)
SURE A+
✔✔random experiment - ✔✔a procedure that is carried out under controlled conditions,
is executed to discover an unknown result, and results in DIFFERENT outcomes even
when repeated in the same manner every time
✔✔discrete sample space - ✔✔a sample space that consists of a finite or countable
infinite set of outcomes
✔✔discrete random variable - ✔✔a variable with a finite or countably infinite range. its
values are obtained by counting
number of scratches on a surface
number of defective parts among 100 tested
✔✔continuous sample space - ✔✔a sample space that contains an interval of real
numbers
✔✔continuous random variable - ✔✔a variable with an interval(either finite or infinite) of
real numbers for its range. its values are obtained by measuring
electrical current and voltage
time
✔✔Probability Mass Function (PMF) - ✔✔a mathematical relation that assigns
probabilities to all possible outcomes for a discrete random variables
✔✔Cumulative Distribution Function (CDF) - ✔✔cdf gives the probability that a random
variable will be less than or equal to specific values
the cdf for a random variable X may be expressed as F(X)=P(X<=x)
given the cdf for a random variable, the probability that an outcome will be less than or
equal to a specific value is represented by the area under the probability distribution to
the left of that value
✔✔Expected Value, Mean - ✔✔E(X) =Σ(all x) x*p(x)
✔✔Variance - ✔✔V(X) = E(X^2) - μ^2
✔✔standard deviation - ✔✔the square root of the variance
✔✔E(X^2) - ✔✔E(X^2) =Σ(all x) x^2*p(x)
✔✔Bernoulli PMF - ✔✔p(x) = p^x * (1-p)^(n-x)
