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Material Type: Exam; Professor: Nashimoto; Class: ELEM STATISTICS [C3T1G1]; Subject: Mathematics; University: James Madison University; Term: Unknown 1989;
Typology: Exams
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Math 220 : Elementary Statistics Kane Nashimoto Exam 2 Solutions Spring 2006
(a) P (X < 89 .5) = P
X − μ σ
(b) z = 0. 52 ∵ P (Z ≤ 0 .52) ≈. 70 z = x^ −^ μ σ ; 0.52 = x^ −^89.^21
17 ; x = 89.21 + (0.52)(0.17) = 89. 30
Correlation and regression by calculator. (a) ˆy = 3.000 + 3. 000 x (b) r =. 626
Probability. E 1 : {selected student is female} F 1 : {selected student is self-supported} E 2 : {selected student is male} F 2 : {selected student is parent-supported} F 3 : {selected student receives financial aid} (a) P (E 1 |F 3 ) = 657 657 + 654
(b) P (E 2 ∪ F 2 ) = 221 + 118 + 138 + 654 1943
(c) P (F 1 ) = 155 + 118 1943
(d) P (E 2 ∩ F 3 ) = 654 1943 =. 337 but
P (E 2 )P (F 3 ) = 118 + 138 + 654 1943
⇒ Two events are not independent.