Question

One number is randomly selected from the following set: { 1, 2, 3, 4, 5, 6,...

One number is randomly selected from the following set: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }.
        Let          A = event that the selected number is even

                      B = event that the selected number is a multiple of 3

        Find the following probabilities.

          a) P( A and B

                                                                       

          b) P( A or B )                                                                                                                        

          c) P( A   B)

                                                                                                                                   

            d) Are events A and B disjoint events? Why or why not?    

            

             e) Are events A and B independent events? Show why or why not by comparing

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A card is randomly selected from a standard, 52-card deck. The denomination on the card is...
A card is randomly selected from a standard, 52-card deck. The denomination on the card is recorded so that the resulting sample space is {A, 2, 3, 4, 5, 6, 7, 8, 9, 10, K, Q, J}. (In other words, we ignore the suits.) (a) (5 points) Given that the card selected displays some number from 3 to 10 (inclusive), what is the probability that the value on the card is not a multiple of 4? (b) (5 points) Suppose...
.  A statistical experiment has ten equally likely outcomes that are denoted by 1, 2, 3, 4,...
.  A statistical experiment has ten equally likely outcomes that are denoted by 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.  Let event A = {3, 4, 6, 9} and event B = {1, 2, 5}. Use probabilities to answer the following questions Are events A and B mutually exclusive? Are events A and B independent? What are the complements of events A and B and their probabilities?                                                 
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9}...
let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 9} with A = {1, 2, 3, 5, 7} and B = {3, 4, 6, 7, 8, 9} a.)Find (A ∩ B) C ∪ B b.) Find Ac ∪ B.
4. Suppose that we randomly select one American Adult. Let A be the event that the...
4. Suppose that we randomly select one American Adult. Let A be the event that the individuals annual income $100,000 and let B be the event that the individual has at least a bachelors degree. a. Without knowing any of the actual probabilities involved, would you expect the events A and B to be independent or not? Clearly explain in a few words. According to a Census Bureau, P(A)= 0.20, P(B)= 0.35, P(A ∩ B)= 0.14 b. What is the...
The following samples of observations were randomly selected. x: 5 3 6 3 4 4 6...
The following samples of observations were randomly selected. x: 5 3 6 3 4 4 6 8 y: 13 15 7 12 13 11 9 5 Determine the regression equation. Determine the value of y when x is 7.
Consider an experiment with a standard 52-deck from which one card is randomly selected and not...
Consider an experiment with a standard 52-deck from which one card is randomly selected and not replaced. Then a second card is randomly selected. Define the following events: Event A = The first card is a heart Event B = The second card is a heart a. Are these two events mutually exclusive? Why or Why not? b. Are these two events independent? Why or why not?
Consider an experiment with a standard 52-deck from which one card is randomly selected and not...
Consider an experiment with a standard 52-deck from which one card is randomly selected and not replaced. Then a second card is randomly selected. Define the following events: Event A = The first card is a heart Event B = The second card is a heart a. Are these two events mutually exclusive? Why or Why not? b. Are these two events independent? Why or why not?
1. Which of the following statements is true? A If events A and B are complements,...
1. Which of the following statements is true? A If events A and B are complements, then the intersection of A and the complement of B is the sample space. B If events A and B are mutually exclusive, then the intersection of A and B is the empty set. C If events A and B are mutually exclusive, then the union of A and B is the sample space. D If events A and B are mutually exclusive, then...
Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define some...
Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define some events as follows: Event A: A randomly selected ball has an odd number on it Event B: A randomly selected ball has a multiple of 3 on it Event C: A randomly selected ball has either a 5 or 8 on it Answer the following questions related to probability of the above described events for a SINGLE trial: a. P(A) = (Remember this is...
The following sample observations were randomly selected.    x: 5 3 6 3 4 4 6...
The following sample observations were randomly selected.    x: 5 3 6 3 4 4 6 8 y: 13 15 7 12 13 11 9 5 Determine the 0.95 confidence interval for the mean predicted when x = 7. (Round your answers to 4 decimal places.) Determine the 0.95 prediction interval for an individual predicted when x = 7. (Round your answers to 4 decimal places.)