4.1-4.3 AND 5.1-5.2.COMPREHENSIVE
COURSE ASSESSMENT
A random variable is a variable that assumes numerical values associated with the random outcomes of
an experiment, where one (and only one) numerical value is assigned to each sample point. - answer
✔✔-What is a random variable?
A discrete random variable can assume a countable number of values, while a continuous random
variable can assume values corresponding to any of the points contained in an interval - answer ✔✔-
How do discrete and continuous random variables differ
continuous - answer ✔✔-Is the
height of a randomly selected giraffe
discrete or continuous
discrete - answer ✔✔-Is the
number of statistics students now reading a book
discrete or continuous
discrete - answer ✔✔-Is the
number of textbook authors now sitting at a computer
discrete or continuous
continuous - answer ✔✔-Is the
weight of a T-bone steak
, discrete or continuous
x=0, 1, 2,....
x is discrete - answer ✔✔-The number of tickets, x, sold for a concert is of interest to the box office
manager. What values can x assume? Is x a discrete or continuous random variable
a) values x may assume: x values that are in the table
b) what value of x is most probable: whatever x value has the highest number in the (p)x row
c) what is the probability that x is greater than -3: take all the numbers that are larger than the given x
interval in the question and add up their corresponding values that are in the (p)x row
d) probability that x=an integer: whatever value corresponds with the x value in the (p)x row; if the
number isn't there the answer is 0 - answer ✔✔-The random variable x has the following discrete
probability distribution
a) add all the values in p(x) correspond with values that are less than or equal to 12
b) add all the values that correspond with values that are greater than 12 in the (p)x row
c) add all the values in p(x) correspond with values that are less than or equal to 14
d) find the value in (p)x that corresponds with the x value
e) subtract 1 from both sides - answer ✔✔-The random variable x has the following discrete probability
distribution
a) x= 0, 1, 2, 3, 4