39. A family wants to have two children. The children can either be male or female. What is the sample space for this experiment? (The order in which the couple has children does matter to the parents.)

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Q39
ALL AMERICAN
109
7.5 Topic 5: Probability
39. A family wants to have two children. The children can either be male or female. What is the
sample space for this experiment? (The order in which the couple has children does matter to
the parents.)
40. Let the sample space S of a random experiment be the numbers 1 through 10. So, S =
{1,2, 3, 4, 5, 6, 7, 8, 9, 10}. Define events A, B, and C as follows.
A: {1,2,3,5,6,7,8,9}
B: {2,4,5,7,9 }
C: {1,2,3,4,5}
(a) What outcomes are in the event AN B?
(b) What outcomes are in the event BUC?
(c) What outcomes are in the event C'?
(d) Are the events An B and BNA the same? Why?
(e) Are the events BUC and CUB the same? Why?
41. A survey of 100 male students and 100 female students regarding their favorite Mexican food
restaurant yielded the results given below.
Gender Chipotle Moe's Salsaritas Q'doba
Male
38
35
20
7
Female
40
30
13
17
(a) What is the probability that a respondent is male?
(b) What is the probability that a respondent likes Q'doba?
(c) What is the probability that a respondent likes Salsaritas and is female?
(d) What is the probability that a respondent likes Salsaritas or is female?
42. Consider two disjoint (or mutually exclusive) events A and B. If P(A) = 0.7 and P(B) = 0.2,
find P(AU B).
43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.4.
. uuobobilition gorroctly assigned? (Hint: Colculate P(ALB)
Transcribed Image Text:ALL AMERICAN 109 7.5 Topic 5: Probability 39. A family wants to have two children. The children can either be male or female. What is the sample space for this experiment? (The order in which the couple has children does matter to the parents.) 40. Let the sample space S of a random experiment be the numbers 1 through 10. So, S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10}. Define events A, B, and C as follows. A: {1,2,3,5,6,7,8,9} B: {2,4,5,7,9 } C: {1,2,3,4,5} (a) What outcomes are in the event AN B? (b) What outcomes are in the event BUC? (c) What outcomes are in the event C'? (d) Are the events An B and BNA the same? Why? (e) Are the events BUC and CUB the same? Why? 41. A survey of 100 male students and 100 female students regarding their favorite Mexican food restaurant yielded the results given below. Gender Chipotle Moe's Salsaritas Q'doba Male 38 35 20 7 Female 40 30 13 17 (a) What is the probability that a respondent is male? (b) What is the probability that a respondent likes Q'doba? (c) What is the probability that a respondent likes Salsaritas and is female? (d) What is the probability that a respondent likes Salsaritas or is female? 42. Consider two disjoint (or mutually exclusive) events A and B. If P(A) = 0.7 and P(B) = 0.2, find P(AU B). 43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.4. . uuobobilition gorroctly assigned? (Hint: Colculate P(ALB)
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