Give a complete explanation for your answers to the following: a) Let A and B be

Question

Give a complete explanation for your answers to the following: a) Let A and B be mutually exclusive events that are independent and cases that are dependent ? Or could there be cases of mutually exclusive events that are independent and cases that are dependent ? if there are cases of each, give examples of independent ME events and of dependent ME events. Now let A and B be collectively exhaustive events (but not necessarily mutually exclusive). Are A and B and cases that are dependent? If there are cases of each, give examples of independent CE events and of dependent CE events. Jane has been going to the theatre for a number of years. She keeps a journal in which she records the type of play (comedy, drama or musical) and whether or not she liked the play. The results for the formal definition. Jane has been going to the theatre for a number of years. She keeps a journal in which she liked the play. The results for the last 100 plays jane has seen are in the following table:

Explanation / Answer

Solution :-

3.

a) Simple event - Probability of total number of plays Jane liked.

b) Joint event - Probability that Jane liked the play and it was Drama.

c) "Jane didn't like the play."

d) P(randomely selected play was a drama) = (36+8) / 100 = 44 / 100 = 0.44

e) P(play was a drama or Jane liked it) = P(drama) + P(liked the play) - P(drama and Jane liked it)

= P(D) + P(L) - P(D L)

= 0.44 + 0.75 - 0.36 = 0.83

f) P(drama or musical, given that Jane didn't like it) = P(drama,didn't like it) + P (musical, didn't like it)

= 0.08 + 0.12 = 0.20

g) Yes, the type of play is independent variable whereas whether Jane liked it or not is dependent variable.

h) There are 33.33% chances that Jane will not like the musical play as 12/36 = 0.333

Expected final cost for Jane's ticket is %55.56

  

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