BANA 2081 CH 5We also discuss several other topics like siue social work
Discrete probability Distributions
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Discrete random Variable
Ex 1) An accountant taking a CPA exam which has 4 parts. x = # of parts on the exam that were passed If you want to learn more check out Why does saturated fat increase cholesterol?
a.) Is the random variable x discrete? If you want to learn more check out interwarred
yes because x can only take on whole #'s We also discuss several other topics like the pattern of fluctuations in bodily processes that occur regularly each day are called
b.) What Values may the random variable x assum?
x = 0, 1, 2, 3, 4
Ex 2) An experiment of cars driving through a tollbooth
x = # of cars driving through in a 24 hr period.
a.) Is x a discrete random variable?
yes because # of cars can only be a whole # value
b.) What values may x assume?
x=0, 1, 2, 3 , . . . . , ∞
Ex 3) What are the possible outcomes of values of each experiment
Possible Values of x
Contact 5 customers
# of customer who place an order
x = 0, 1, 2, 3, 4, 5
Inspect shipment of 50 radios
# of defective radios
x = 0-50 whole #’s
Open restaurant 1 day
# of customers
x =0-∞ whole #’s
Sell a car
Gender of customer
x = 1, 0
Continuous Kardon variable
Ex 4) x = Time between incoming phone calls at a major insurance company
a.) Is random variable x continuous ?
yes, Time could be 4(h):30(n):15(s):05(ms)
b.) what values may x assume
x 0 any value greater than or equal to zero. Any amount of time can pass between Zero, one second, 3 minutes 2 hours or 10 hours but in order to avoid Writing down all those milliseconds we write it this way x 0
Ex 5) Consider a 90-mile stretch of 1 - 75 north of Atlanta Georgia. For an emergency ambulance service located in Atlanta, we might define the random variable x = # of miles to the next traffic accident along this section of 1-75.
a.) Is the random variable x continuous ?
yes distance can be 1 mile or 1.1, 1.2, . . . 89.9
b) What values may the random variable x assume?
0 x 90
EX 6) What are the possible values of each continuous experiment ?
Random Variable, x
Possible values for x
Operate a bank
Time between customers
Fill a soft drink can (max=12.1 oz)
# of oz.
Construct a new library
% of project complete after 6 months
Test a new chemical process
Temp at which desired reaction happens
Developing Discrete probability Distributions
Probability Distribution - for a random variable describes how probability is spread out over the values of the random variable
Discrete probability distribution can be displayed on tables & graphs or in formula