Day 2 Intro to Simulations

Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
Chapter 7 Probability Simulation and all notes.notebook
Aim: Simulations
get by with assigning a single digit to the probability of the
simplest event, sometimes you must use 2 or even 3 digits
In our number system, there are 10 digits. In order to
assign a single digit for the probability of the simplest event,
we must be able to multiply our probability times 10 (for the
10 digits) and get a whole number value.
January 05, 2017
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
If the probabilities for the simplest event are values like 10%, 20%
we can get by with only one digit.
For example: 10% of 10 = 1 so we use 0 for the assignment of the given
probability
20% of 10 = 2 so we use 0 - 1 for the assignment
of the given probability
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
But, if the probabilities for the simplest event are values like 62%,
85%, 8%, etc, we cannot get by with only one digit.
62% of 10 = 6.2
62% of 100 = 62 so we use 00 - 61 for the
assignment of the 2-digit numbers
85% of 100 = 85 so we use 00 - 84 for the assignment of the 2-digit
numbers
8% of 100 = 8 so we use 00 - 07 for the assignment of the 2-digit
numbers
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
Find ALL correct assignments of random digits for each problems
If the probability of success is 32%, which of the following random digits could be used for the assignment of random digits to the success?
Let 0 – 3 success, 4 – 9 not success
Let 0 – 2 success, 3 – 9 not success
Let 00 – 32 success, 33 – 99 not success
Let 00 – 31 success, 32 – 99 not success
Let 01 – 32 success, 33 – 99, 00 not success
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
If the probability of success is 8%, which of the following random digits could be used for the assignment of random digits to the success?
Let 0 – 7 success, 8 – 9 not success
Let 0 – 8 success, 9 not success
Let 00 – 07 success, 08 – 99 not success
Let 92 – 99 success, 00 – 91 not success
Let 00 – 05 and 98 – 99 success, 06 – 97 not success
If the probability of success is 12.5%, which of the following random digits could be used for the assignment of random digits to the success?
Let 0 success, 1 – 7 not success ignore 8 and 9
Let 00 – 13 success, 14 - 99 not success
Let 875 – 999 success, 000 – 874 not success
Let 000 – 125 success, 126 – 999 not success
Let 000 – 124 success, 125 – 999 not success
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
If the probability of the simplest event in a simulation is 32%, how would you assign random digits?
digit(s) represent each simplest event.
event does not occur
A family plans to have five children. If the probability of a boy is 0.42, how would you set up the random digits to find the probability of getting
exactly three boys in the family?
Step 1: The simplest event is
digit(s) represent each simplest event.
Chapter 7 Probability Simulation and all notes.notebook
January 05, 2017
A new drug has a 78.2% effective rate, meaning that 78.2% of all patients who use the drug will be cured of that particular disease.
Step 1: The simplest event is
, P(not effective) =
digit(s) represent each simplest event.