A survey of 500 adults asked​ "Do you feel overloaded with too much​ information?" The results indicated that of 237 ​males, 129 answered yes. Of 263 ​females, 219 answered yes. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. Suppose the respondent chosen is a female. What is the probability that she did not feel overloaded with too much​ information?   ​P(not overloaded with too much ​information|female)=enter your response here ​(Round to four decimal places as​ needed.) Part 2 b. Suppose the respondent chosen does indicate that​ he/she feels overloaded with too much information. What is the probability that the individual is a​ male?   ​P(male|overloaded with too much ​information)=enter your response here ​(Round to four decimal places as​ needed.) Part 3 c. Are feeling overloaded with too much information and the gender of the individual​ independent? Explain.     A. ​No, because P(male|overloaded with too much information)≠P(male).   B. ​Yes, because P(male|overloaded with too much information)=P(male).   C. ​No, because P(male|overloaded with too much information)=P(male).   D. ​Yes, because P(male|overloaded with too much information)≠P(male).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Question
A survey of
500
adults asked​ "Do you feel overloaded with too much​ information?" The results indicated that of
237
​males,
129
answered yes. Of
263
​females,
219
answered yes. Complete parts​ (a) through​ (c) below.
 
 
 

Question content area bottom

Part 1
a. Suppose the respondent chosen is a female. What is the probability that she did not feel overloaded with too much​ information?
 
​P(not overloaded with too much
​information|female)=enter your response here
​(Round to four decimal places as​ needed.)
Part 2
b. Suppose the respondent chosen does indicate that​ he/she feels overloaded with too much information. What is the probability that the individual is a​ male?
 
​P(male|overloaded with too much
​information)=enter your response here
​(Round to four decimal places as​ needed.)
Part 3
c. Are feeling overloaded with too much information and the gender of the individual​ independent? Explain.
 
 
A.
​No, because
P(male|overloaded with too much information)≠P(male).
 
B.
​Yes, because
P(male|overloaded with too much information)=P(male).
 
C.
​No, because
P(male|overloaded with too much information)=P(male).
 
D.
​Yes, because
P(male|overloaded with too much information)≠P(male).
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