Suppose the probability that a randomly selected man, aged 55-59, will die of cancer during the course of the year is startfraction 300 over 100 comma 000 endfraction 300 100,000. how would you find the probability that at least 1 man out of 1,000 of this age will die of cancer during the course of the year?

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andrewschmitz1949 andrewschmitz1949

01-03-2018
Mathematics

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Suppose the probability that a randomly selected man, aged 55-59, will die of cancer during the course of the year is startfraction 300 over 100 comma 000 endfraction 300 100,000. how would you find the probability that at least 1 man out of 1,000 of this age will die of cancer during the course of the year?

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11beehshahbaz 11beehshahbaz · Answer 1 · 2018-03-10T19:25:06+01:00

The probability that a randomly selected man dies of cancer during the course of the year = [tex] \frac{300}{100000}= \frac{3}{1000}=0.003 [/tex]

The probability that a randomly selected man does not die of cancer during the course of the year = [tex]1-0.003=0.997[/tex]

The probability that atleast one man of this age dies of cancer is the complement of the probability that no man dies of cancer. In equation form we can write:

Probability that atleast one man of this age dies of cancer = 1 - No man at this age dies of cancer

The probability that no man dies of cancer out of 1000 selected men = [tex] (0.997)^{1000}=0.04956 [/tex], rounded of to 5 decimal places

Thus the probability that atleast one man at this age dies of cancer = 1 - 0.04956 = 0.95044