A pollster contacted 70 people in the 20-24 age bracket and found that 55 of the
ID: 3352700 • Letter: A
Question
A pollster contacted 70 people in the 20-24 age bracket and found that 55 of them responded and 15 refused to respond. When 130 people in the 25-29 age bracket were contacted, 102 responded and 28 refused to respond. Assume that 1 of the 200 people was randomly selected. Respond Refuse to Total respond 20 24 25-29102 15 28 43 70 130 200 157 a) Find the probability that someone is in the 25-29 age bracket and refused to respond. b) If one person in the 25-29 age bracket is selected, what is the probability that he/she refused to respond. c)Are the events 20-24 years old and refuse to respond independent? Justify your answer.
Explanation / Answer
Answer:
Respond
Refuse to respond
Total
20-24
55
15
70
25-29
102
28
130
Total
157
43
200
a).. P = 28/200 =0.14
b). P =28/130 =0.215385
c).
P( 20-24 years old) = 70/200 =0.35
P( 20-24 years old/ refuse to respond) =15/43 =0.348837
P( 20-24 years old) P( 20-24 years old/ refuse to respond)
The events 20-24 years old and refuse to respond are not independent.
Respond
Refuse to respond
Total
20-24
55
15
70
25-29
102
28
130
Total
157
43
200
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