Question Help 09/29/17 11.59pm 09/29/17 The following data represent the number

Question

Question Help 09/29/17 11.59pm 09/29/17 The following data represent the number of different communication activities used by a randoms ample of teenagers in a given week Complete parts (a) through (d) Activities 0 1-2 3-4 5-7 Total 22 81 58 39 200 22 53 576 200 44 134 115 107 400 Male 11.59pm Female Total (a) Are the events "female" and "5-7 activities" independent? O No 11:59pm 11:59pm O Yes (b) Are the events "male and "0 activities" independent? O Yes 10/04/17 11:59pm 10/04/17 No (c) Are the events 1-2 activities" and "3-4 activities" mutually exclusive? O No 10/06/17 O Yes (d) Are the events female" and 1-2 activities" mutually exclusive? O No 10/06/17 11:59pm O Yes 10/09/17 11 :59pm 10/09/17 Click to select your answer 11:59pm 1 or incomp 6 1 Interactive Assignment 10/13/17 11.59pm 10/13/17 . section 6.1 Homework

Explanation / Answer

For the two events A and B to be independent P(A and B)=P(A)*P(B). For them to be mutually exclusive P(A and B)=0

a) P(female and 5-7) is 68/400=0.17 (from inersection of female and 5-7)

P(female)=200/400=0.5 (look at the sum in 2nd row) and P(5-7)=107/400

since P(female and 5-7) is not equal to P(female)*P(5-7), the events are not independent

b) by similar logic, the events are not independent

c) P(1-2 activites and 3-4 activites) happening together is 0 thus Yes, they are mutually exclusive

d) P(female and 1-2 activies) is not 0 so they are not mutually exclusive. hence, No

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