Q40 ABCDE 1097.5Topic 5: Probability39. A family wants to have two children. The children can either be male or female. What is thesample space for this experiment? (The order in which the couple has children does matter tothe 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 ANB 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 foocrestaurant yielded the results given below.Gender Chipotle Moe's Salsaritas Q'dobaMale3835207Female40301317(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.find P(AUB).43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.Are these probabilities correctly assigned? (Hint: Calculate P(AU B).)Con ovonts A R be disioint?

Name: Q40 ABCDE 1097.5Topic 5: Probability39. A family wants to have two chi
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Description: Q40 ABCDE 1097.5Topic 5: Probability39. A family wants to have two children. The children can either be male or female. What is thesample space for this experiment? (The order in which the couple has children does matter tothe parents.)40. Let the sa