Sets, Counting & Probability : Probability Distribution for a Sample Space

Which of the following is a valid probability distribution for a sample space
S = {a,b,c,d}

a. Pr(a)=-0.2, Pr(b)=0.5, Pr(c)=0.4, Pr(d)=0.3
b. Pr(a)=0.3, PR(b)=0.1, Pr(c)-0.2, Pr(d)=0.5
c. Pr(a)=0.6, Pr(b)=0, Pr(c)=0.3, Pr(d)=0.1
d. Pr(a)=0.5, Pr(b)=0.2, Pr(c)=0.1, Pr(d)=0.3

Solution Summary

A Probability Distribution for a Sample Space is found.

A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
a) Use the counting principle to determine the number of points in the samplespace.
b) Describe how a tree diagram would represent this si

A min license plate for a toy car must consist of a one digit odd number followed by two letters . each letter must be a J or K. Repetition of letter is permitted.
Use the counting princdiple to determine the number of points in the samplespace.
Construct a tree diagram to represent this sitution.
list the sample spa

A) Which of the following is a valid probability assignment for an event whose samplespace is {A, B, C, D, F}?
b) Explain the reason why each of the other two is not a valid probability assignment.
Outcome Probability
A 0.15 0.25 0.25
B 0.6 0.5 0.6
C 0.2 0.21 0.2
D 0.05

A mini license plate for a toy car must consist of a number followed by a T and a vowel. Each number must be a 3, 6, or 9.
Use the counting principle to determine the number of points in the samplespace.
Construct a tree diagram and submit it to the week 5, assignment 2 dropbox.
List the samplespace.
Determine

A light Bulb manufacturer tests a light bulb by letting it burn until it burns out. The experiment consists of observing how long (in hours) the light bulb burns. Let E be the event "the bulb lasts less than 100 hours", F be the event "the bulb lasts less than 50 hours",and G be the event "the bulb lasts more than 120 hours." T

Consider the following sets:
U = {1,2,3,4,5,6,7,8}
A = {2,4,6,8}
B = {1,2,3,5,7}
Which of the following statements is true?
a. A intersection of B is the subset of A
b. A intersection of B = 0
c. A is the subset of A intersection of B
d. A intersection of B = U

2. A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted.
Use the counting principle to determine the number of points in the samplespace.
Construct a tree diagram to represent this situation
Li

(a) The financial database of a company is secured by a password protection system. Each employee is given a randomly generated password containing three letters and two numbers. If repetitions of letters and numbers are not allowed, how many possible passwords are there?
(b) Tickets for international cricket matches betw