At a party there are 30 students over age 21 and 20 students under age 21. You c

Question

At a party there are 30 students over age 21 and 20 students under age 21. You choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed: what is that chance? Why is your sample not an SRS? This is not an SRS because the chance of being selected from each group is the same. This is not an SRS because interviews do not represent a true experimental design; interview responses are subjective and biased. This is not an SRS because the sample size is too small; the selected students cannot represent the whole population. This is not an SRS because not every group of 5 students can be chosen; the only possible samples are those with 3 older and 2 younger students. This is not an SRS because asking students at a party about alcohol is inherently flawed.

Explanation / Answer

30 students over age of 21.

20 students under the age of 21.

3 students over age of 21 selected seperately .

There for P(over age of 21)=3/30

2 students under age of 21 selected seperately.

Therefore P(below age of 21)=2/20

As two events are independent therefore

probability =1/10*1/10=0.01

this is not SRS because not a group of 5 students can be selected.only possibility is 3 from older group and 2 from younger group.

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