42. Consider two disjolan (or mutually clusive) evente A nd B. II P(A) - 0.7 and P(B) = 0.2, ind P(AU).

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Answer #42 , #43 and #44

ple pare fe is perir (The orde in which the eouple ha ildm do matter to
DA fmily wts to hae t ddr The chd can bee ale or mal What is the
Let the mplepace S ofa nompert be the besi thegh S S-
(1,234.5.6.T.80). De eete A B d Ca f
7.5 Topie f: Probability
the pa )
A (12AATA
(a) What outeom are the et An
(b) What outemes are in the evet BUCT
le) What outem are ln the event C
(a) Are the evente An and BnA the ame Wle?
(e) Are the events BUC ad CUBthe se? Why
A survy of 100 male studenta and ton sale atuderts regading thir favorite Mexiran food
restaurant yielded the ute gven belw.
Gender Chipotle Moe's Salaritas Q'doba
Mae
Female
38
35
20
13
40
30
17
(a) What is the probability that a repondent i male?
(b) What is the probability that a rpondeat s Qdobe
(e) What is the probability that a repondent lis Salaritas and is emale?
(d) What is the peobability that a respondent likes Salsaritas or is female?
42. Consider two disjolun (or mutually enclusive) evente A and B. II P(A) - 0.7 and P(B) = 0.2,
find P(AUB).
43. Consider two disjolat (or mutually excluive) vents A and B with P(A) - 0.7 and P(B) -0.4.
Are these probabilities correctly esigned? (Hint: Caleulate P(AUB).)
44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint?
45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will
watch the British Open. If it is estimated that 37% of Americans will watch both tournaments,
what is the probablity that they will watch at least one of the golf tournaments?
46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each
suit). What is the probability that you draw two Aces if the cards are drawn
(a) With replacement?
(b) Without repilacement?
Transcribed Image Text:ple pare fe is perir (The orde in which the eouple ha ildm do matter to DA fmily wts to hae t ddr The chd can bee ale or mal What is the Let the mplepace S ofa nompert be the besi thegh S S- (1,234.5.6.T.80). De eete A B d Ca f 7.5 Topie f: Probability the pa ) A (12AATA (a) What outeom are the et An (b) What outemes are in the evet BUCT le) What outem are ln the event C (a) Are the evente An and BnA the ame Wle? (e) Are the events BUC ad CUBthe se? Why A survy of 100 male studenta and ton sale atuderts regading thir favorite Mexiran food restaurant yielded the ute gven belw. Gender Chipotle Moe's Salaritas Q'doba Mae Female 38 35 20 13 40 30 17 (a) What is the probability that a repondent i male? (b) What is the probability that a rpondeat s Qdobe (e) What is the probability that a repondent lis Salaritas and is emale? (d) What is the peobability that a respondent likes Salsaritas or is female? 42. Consider two disjolun (or mutually enclusive) evente A and B. II P(A) - 0.7 and P(B) = 0.2, find P(AUB). 43. Consider two disjolat (or mutually excluive) vents A and B with P(A) - 0.7 and P(B) -0.4. Are these probabilities correctly esigned? (Hint: Caleulate P(AUB).) 44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint? 45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. If it is estimated that 37% of Americans will watch both tournaments, what is the probablity that they will watch at least one of the golf tournaments? 46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each suit). What is the probability that you draw two Aces if the cards are drawn (a) With replacement? (b) Without repilacement?
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