Hello! I am struggling with this problem and cannot seem to solve it. Could some

Question

Hello! I am struggling with this problem and cannot seem to solve it. Could someone please help. Thank you very much! 2. The USA today article referenced in the day is information on seat belt usage by age, which is summarized in the following table. Uses Seat Belt Regularly Does Not Use Seat Belt Regularly 49 63 64 60 60 72 Age 34 15 14 18 24 25 34 35-44 45 54 55 64 65 and older 20 19 Consider the following events S = event that a randomly selected individual uses a seatbelt regularly, A1 event that a randomly selected individual is in age group 18 to 24, and A6 -event that a randomly selected individual is in age groups 65 and older. Find the following probabilities: a. P(Ai) c. P(Ai IS) d. P(Not Ai) e. P(S|Ai) f. P(S |A6

Explanation / Answer

a)

P(A1) =83/492= 0.1687

b)

P(A1 n S) =49/492=0.0996

c)

P(A1|S) =49/368=0.1332

d)

P(not A1) =1-P(A1) =1-83/492=0.8313

e)

P(S|A1)=49/83=0.5904

f)P(S|A6) =72/91=0.7912

S Sc Ttoal A1 49 34 83 A2 63 15 78 A3 64 14 78 A4 60 22 82 A5 60 20 80 A6 72 19 91 Total 368 124 492

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