MA3110 STATS CHAPTER 5

Question 1

A ___ is (typically represented by x) that has a single numerical value, determined by chance, for each outcome of a procedure.

Answer 1

Random variable

Question 2

A ___ is a description that give the probability for each value of the random variable. It is often expressed in the format of a graph, table, or formula

Answer 2

Probability distribution

Question 3

A ___ has either a finite number of values or a countable number of values, where “countable” refers to the fact that there might be infinitely many values, but they can be associated with a counting process, so that the number of values is 0 or 1 or 2 or 3, ets.

Answer 3

Discrete random variable

Question 4

A ___ has infinitely many values, and those values can be associated with measurements on a continuous scale without gaps or interruptions.

Answer 4

Continuous random variable

Question 5

The ___ of a discrete random variable is denoted by E, and it represents the mean value of the outcomes.

Answer 5

Expected value

Question 6

A ___ results from a procedure that meets certain requirements.

Answer 6

Binomial probability distribution

Question 7

Which of the following steps are requirements for a binomial probability distribution?

1. The procedure has a fixed number of trials
2. The trials must be independent. (The outcome of any individual trial down’t affect the probabilities in the other trials.)
3. Each trial must have all outcomes classified into two categories (commonly referred to as success and failure.)
4. The probability of a success remains the same in all trials
5. All the above

Answer 7

ALL

Question 8

The ___distribution is a discrete probability distribution that applies to occurrences of some event over a specified interval. The random variable x is the number of occurrences of the event in an interval. The interval can be time, distance, area, volume, or some similar unit.

Answer 8

POISSON DISTRIBUTION