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23 votes
23 votes
(b) suppose a simple random sampling process is used to select the sample of 100 women. what is the probability that at least 30 percent of the women in the sample will not meet the age requirement for the internships?

User Steve Storck
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1 Answer

12 votes
12 votes

Based on the information given, the probability

of a randomly sampled woman not being

qualified for the internship will be 0.223.

The probability of a randomly sampled woman

not being qualified for the internship will be:

= P(x<20) = P(x=17) + P(x=18) + P(x=19)

= 0.005 + 0.107 + 0.111 = 0.223

Also, the probability that at least 30 percent of

the women in the sample will not meet the age

requirement for the internships will be 0.03216

In conclusion, from the information given,

a woman who does not meet the age

requirement is more likely to be selected with

a stratified random sample than with a simple

random sample.

User Molochdaa
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2.8k points