MATH 302 Probability Exam Questions and
Answers
1. Random Variables Correct Answer: It is a set of possible values from a random experiment.
2. Discrete Random Variable Correct Answer: Variable where the number of outcomes can
be counted.
For example, the number of white balls in a sample of size three is a discrete random variable which
may take one of the values 0, 1, 2, 3
3. Continuous Random Variable Correct Answer: is one that can take any value in an interval
of the real number line,
and is usually (but not always) generated by measuring. Height, weight, and the time taken to complete
a puzzle are all examples of continuous random variables.
4. probability density function Correct Answer: A probability distribution is a table or an
equation/function that links each
random variable can assume with its probability of occurrence (pmf).
5. Bernoulli Trials Correct Answer: BERNOULLI is a random experiment with exactly two possible
outcomes, "success"(X=1) and "failure"(X=0), in which the probability of success(P) is the same every
time the experiment is conducted.[1]
P(X=1)=p P(X=0)=1-p
6. Binomial Probability Correct Answer: Repeated bernoulli trials.
• The experiment consists of n repeated trials.
• Each trial can result in just two possible outcomes. We call one of these outcomes a success and the
other, a failure.
• The probability of success, denoted by P, is the same on every trial.
• The trials are independent; that is, the outcome on one trial does not attect the outcome on other
trials.
The binomial probability refers to the probability that a binomial experiment results in exactly x successes.
For example, in the above table, we see that the binomial probability of getting exactly one head in
two coin flips is 0.50.
Given x, n, and P, we can compute the binomial probability based on the binomial
formula Correct Answer: Binomial Formula. Sum[0,n](nck)p^k(1-p)^n-k=(A+B)^n
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,MATH 302 Probability Exam Questions and
Answers
7. Binomial Expansion/theorem Correct Answer: Sum(...)=(A+B)^n
8. Geometric Probability Correct Answer: • The geometric distribution is a special case of the
negative binomial distribution.
It deals with the the Probability(X=number of trials required for a single success.) OR P(X=first success in
"n" trials).
-X=n
Thus, the geometric distribution is negative binomial distribution where the number of successes (r) is equal
to 1.
• SAME FORMULA except k=1
9. Negative Binomial Probability Correct Answer: -Calculates probability of X=#trials for
"K" successes.
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11
Answers
1. Random Variables Correct Answer: It is a set of possible values from a random experiment.
2. Discrete Random Variable Correct Answer: Variable where the number of outcomes can
be counted.
For example, the number of white balls in a sample of size three is a discrete random variable which
may take one of the values 0, 1, 2, 3
3. Continuous Random Variable Correct Answer: is one that can take any value in an interval
of the real number line,
and is usually (but not always) generated by measuring. Height, weight, and the time taken to complete
a puzzle are all examples of continuous random variables.
4. probability density function Correct Answer: A probability distribution is a table or an
equation/function that links each
random variable can assume with its probability of occurrence (pmf).
5. Bernoulli Trials Correct Answer: BERNOULLI is a random experiment with exactly two possible
outcomes, "success"(X=1) and "failure"(X=0), in which the probability of success(P) is the same every
time the experiment is conducted.[1]
P(X=1)=p P(X=0)=1-p
6. Binomial Probability Correct Answer: Repeated bernoulli trials.
• The experiment consists of n repeated trials.
• Each trial can result in just two possible outcomes. We call one of these outcomes a success and the
other, a failure.
• The probability of success, denoted by P, is the same on every trial.
• The trials are independent; that is, the outcome on one trial does not attect the outcome on other
trials.
The binomial probability refers to the probability that a binomial experiment results in exactly x successes.
For example, in the above table, we see that the binomial probability of getting exactly one head in
two coin flips is 0.50.
Given x, n, and P, we can compute the binomial probability based on the binomial
formula Correct Answer: Binomial Formula. Sum[0,n](nck)p^k(1-p)^n-k=(A+B)^n
1/
11
,MATH 302 Probability Exam Questions and
Answers
7. Binomial Expansion/theorem Correct Answer: Sum(...)=(A+B)^n
8. Geometric Probability Correct Answer: • The geometric distribution is a special case of the
negative binomial distribution.
It deals with the the Probability(X=number of trials required for a single success.) OR P(X=first success in
"n" trials).
-X=n
Thus, the geometric distribution is negative binomial distribution where the number of successes (r) is equal
to 1.
• SAME FORMULA except k=1
9. Negative Binomial Probability Correct Answer: -Calculates probability of X=#trials for
"K" successes.
2/
11
