. Someone is surveying a large group of people on whether they exercise or not. The relative frequency of each category is shown in the table: Never Sometimes Always Men .0564 .2016 .2120 Women .0636 .1384 .3280 a. One person is selected at random i. What is the probability that the person selected will be someone whose response is never and who is a woman? ii. What is the probability that the person selected will be someone who is a woman or whose response is never iii. What is the probability that the person selected will be someone whose response is never given the person is a woman? b. For the people surveyed, are the events of being a person whose response is never and being a woman is independent? Justify your answer c. Assume that the probability that a person exercising is 0.54. If five people are selected at random, what is the probability that at least one of the people will exercise?
7. Someone is surveying a large group of people on whether they exercise or not. The relative frequency
of each category is shown in the table:
| Never | Sometimes | Always | |
| Men | .0564 | .2016 | .2120 |
| Women | .0636 | .1384 | .3280 |
a. One person is selected at random
i. What is the
a woman?
ii. What is the probability that the person selected will be someone who is a woman or whose response
is never
iii. What is the probability that the person selected will be someone whose response is never given the
person is a woman?
b. For the people surveyed, are the
independent? Justify your answer
c. Assume that the probability that a person exercising is 0.54. If five people are selected at random, what
is the probability that at least one of the people will exercise? Support your answer.
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