Binomial Test

Written Questions

1. n! permutations of an n-set

2. if n is a positive integer, then the expanded form of (a + b)ⁿ is: (nC₀)aⁿb⁰ + (nC₁)aⁿ⁻¹b¹ +

(nCâ‚‚)aⁿ⁻²b² + … (nCnâ‚‹â‚‚)a²bⁿ⁻² + (nCn₋₁)aÂąbⁿ⁻¹ + (nCn)a⁰bⁿ ; the coefficients of the form (nCr)

are numbers in the nth row of Pascal’s triangle

3. the number of ——————————————– of n objects is given by

n!/n1!n2!n3!………..nk!; non-duplicates of other permutations

4. P(B|A) = P(A and B) / P(A)

5. n!/(n-r)! = nPr

6. 0 ≤ p(x) ≤ 1

ÎŁp(x) = 1 the sum of the probabilities for all possible outcomes, x, for a random variable, X,

equals 1

Multiple Choice Questions

1. the probabilities of all the possible outcomes for a random variable. Probability of all

possible outcomes must sum to 1.

a. Probability of a single event

b. probability distribution

c. Probability Function

d. Combinations

2. P(A)=# of ways event A can occur/total # of possible outcomes

a. Probability Function

b. Permutations of an N-set

c. probability distribution

d. Probability of a single event

3. The product of all whole numbers except zero that are less than or equal to a number

a. factorial

b. Combinations

c. Binomial Theorem

d. Permutation

4. 2^n subsets with n objects (the pizza ingredient problem)

a. Permutations of an N-set

b. Formula for Counting Subsets of an n-set

c. Permutation counting formula

d. Combination Counting Formula

5. Working with Countable sets; Data can only take certain values; excludes topics in

“continuous mathematics” such as calculus and analysis.

a. Discrete Mathematics

b. Binomial Theorem

c. Permutation

d. Combinations

6. n!/[(n-r)!(r!)] = nCr

a. Conditional Probabilty Formula

b. Combination Counting Formula

c. Permutation counting formula

d. Combinations

True/False Questions

1. Multiplication Principle of Counting → if one event has m possible outcomes, and another

event has n possible outcomes, there are m x n total possible outcomes for the two events

together

True False

2. Pascal’s Triangle → The product of all whole numbers except zero that are less than or equal

to a number

True False

3. Conditional Probability → the probability that a particular event will occur, given that another

event has already occurred

True False

4. Combinations → number of ways to combine items in which order doesn’t matter; “Choosy”

True False

5. Permutation → number of ways to combine items in which order doesn’t matter; “Choosy”