Consider the following scenario: • Let P ( C ) = 0.4 • Let P ( D ) = 0.5 • Let P ( C | D ) = 0.6 Part (a) Find P ( C AND D ). Part (b) Are C and D mutually exclusive? Why or why not? A) There is not...


Consider the following scenario:
• LetP(C) = 0.4
• LetP(D) = 0.5
• LetP(C |D) = 0.6





  • Part (a)




    FindP(C AND D).





  • Part (b)




    AreC andD mutually exclusive? Why or why not?

    A) There is not enough information to determine if
    C andD are mutually exclusive.


    B) C andD are not mutually exclusive because
    P(C AND D) ≠ 0

    C)
    C andD are mutually exclusive because they have different probabilities.


    D) C andD are not mutually exclusive because
    P(C) + P(D) ≠ 1

    .






  • Part (c)




    AreC andD independent events? Why or why not?

    A) The events are independent because they are mutually exclusive.

    B) The events are not independent because
    P(C) × P(D) ≠ P(C | D)

    C) The events are not independent because
    P(C | D) ≠ P(C)

    D) The events are not independent because the sum of the events is less than 1.






  • Part (d)




    FindP(D |C).





Jun 01, 2022
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here