exams Flashcards
What is the converse of p => q?
q => p
What is the inverse of p => q?
‘p => ‘q (if not p, then not q)
What is the contrapositive of p => q?
‘q => ‘p (if not q, then not p) (flipped and negative)
What is the meaning of p ^ q?
p and q, in a truth table both p and q must be true in order for p ^ q to be true as well. ‘p and q’
What is the meaning of p v q?
p or q can be true with only one truth value, can only be false with two false truth values ‘p or q’
What is the meaning of p ⊻ q?
can only be true with one truth value, ‘p or q but not both’
What is a tautology?
all values in table are true
What is a logical contradiction?
all values in truth table are false
What is a logical equivalence?
the two tables have the same truth values
How do you calculate normal distribution between two boundaries?
Ex.: Find the probability that a value is between 65 and 80, inclusive.
[2ND], [VARS], normalcdf
enter values for [upper bound], [lower bound], [mean], and [standard deviation].
How do you calculate normal distribution upwards of one boundary?
Ex.: Find the probability that a value is greater than or equal to 75.
[2ND], [VARS], normalcdf
enter values for [upper bound: 75], [infinity or 10^99], [mean], and [standard deviation].
How do you calculate normal distribution downwards of one boundary?
Ex.: Find the probability that a value is less than 62.
[2ND], [VARS], normalcdf
enter values for [upper bound: 62], [lower bound: -10^99 (negative infinity)], [mean], and [standard deviation].
How do you find the [xth] percentile for a distribution?
Ex.: the 90th percentile
[2ND], [VARS], invNorm
enter values for [percentile: 0.90], [mean], and [standard deviation]. The calculated number is an x-value.
What is an arithmetic sequence?
a patterned series of numbers which adds or subtracts a set number each time
What is a geometric sequence?
a patterned series of numbers which multiplies or divides by a set number each time