how to solve question 40 based on what is given in question 20&26 ? 40 Birth ord
ID: 3337780 • Letter: H
Question
how to solve question 40 based on what is given in question 20&26 ?
40 Birth order, finis In Exercises 20 and 26, we looked at the birth orders and college choices of some Iniro Stats students For these students a) Are enrolling in Agriculture and Human Ecology disjoint? Explain b) Are enrolling in Agriculture and Human Ecology independent? Explain c) Are being firstborn and enrolling in Human Ecology disjoint? Explain d) Are being firstborn and enrolling in Human Ecology independent? ExplainExplanation / Answer
Solution:
40)
a) Yes, since the events share no outcomes. Students can enroll in only one college.
b) No, since knowing that one event is true drastically changes the probability of the other. The probability of a student being in the Agriculture faculty is nearly 42%. The probability of a student being in the Human Ecology faculty, given that he or she is in the Agriculture faculty, is 0.
c) No, since they share outcomes. 15 students were rst-born, Human Ecology students.
d) No, since knowing that one event is true drastically changes the probability of the other. Over 19% of all students enrolled in Human Ecology, but only 13% of rst-borns did.
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26)
a) Number of person in an Arts and Scienes student who is a second child is 23 and total number of students is 223. So the required probability is
P = 23/223 = 0.1031
b) Number of person in an Arts and Scienes student who is a second child is 23 and total number of students in an Arts and Scienes student is 57. So the required probability is
P = 23/57 = 0.4035
c) Total number of second children (or more) is 110, and among them 23 enrolled in Arts and Sciences so the required probability is
P = 23/110 = 0.2091
d) Total number of students is 223 and total number of agriculture students is 93 so the required probability is
P = 93/110 = 0.4170
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