A large number of young people were selected and their age and the number of hou
ID: 3302407 • Letter: A
Question
A large number of young people were selected and their age and the number of hours of TV watched per week were determined, with the following results Hours of TV watched Age Hours 0-5 5-10 10-15 10-15 15-20 20-25 Total 95 58 19 172 15 24 10 49 28 16 50 Suppose you select a person at random from this group. Answer the following by rounding to two digits past the decimal a) What is the probability the person is in the 10-15 age group? Submit Answer Tries 0/2 b) What is the probability the student is in the 10-15 age group and watches 5-10 hours per week? c) What is the probability the student is in the 10-15 age group or watches 5-10 hours per week? d) What is the probability the student is in the 10-15 age group if they watch 5-10 hours per week? e) What is the probability the student watches 0-5 hours of TV if they are in the 20-25 age group? Submit Answer Tries 0/2 Submit Answer Tries 0/2 Submit Answer Tries 0/2 Submit Answer Tries 0/2Explanation / Answer
Total frequency is computed as: = 172 + 49 + 50 = 271
a) Probability that the person is in the age group 10-15 age group is computed as:
= (Number of people in 10-15 age group ) / Total frequency
= (95+ 15 + 28) /271
= 0.51
Therefore 0.51 is the required probability here ( rounded to 2 decimal places )
b) Probability that the student in the age group 10-15 age group and watches 5-10 hours per week:
= ( Number of students in the age group 10-15 age group and watches 5-10 hours per week ) / Total frequency
= 15/271
= 0.06
Therefore 0.06 is the required probability here ( rounded to 2 decimal places )
c) Probability that the student in the age group 10-15 age group or watches 5-10 hours per week:
= ( 95 + 15 + 28 + 24 + 10)/ 271
= 0.63
Therefore 0.63 is the required probability here ( rounded to 2 decimal places )
d) Probability that the student is in the age group of 10-15 given that they watch 5-10 hours per week
= (Number of students in the age group 10-15 age group and watches 5-10 hours per week ) / Total number of students who watch 5-10 hours per week
= 15/ 49
= 0.31
Therefore 0.31 is the required probability here ( rounded to 2 decimal places )
e) Probability that the student watches 0-5 hours of TV if they are in the 20-25 age group
= (Number of students in the age group 20-25 age group and watches 0-5 hours per week ) / Total number of students who are in 20-25 age group
= 19/ (19 + 10 + 6)
= 0.54
Therefore 0.54 is the required probability here ( rounded to 2 decimal places )
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