3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on campus. Also, assume that living on campus is independent of the class of the student. PLAZ=3090=30/1003D0.30 and PLB)=6e0% = 160 110030.60 a. What is the probability thất a random student is a freshman who lives on campus? P (AnB)=PLAYPLB) MA orB)=PLAYPLB)-PCAnB) PLA)-1-PCA) PLA and BJ= PLAYP(B) = 0.30610 =010 b. What is the probability that a random student is not a freshman and does not live on campus? PLACNBC)= PLAY'PLB). - C-PLAU-P(B) %3D -C0700.40) = 0.28 c. What is the probability that a random student is a freshman or lives on campus? POA or B)=P CA)t P(B)-P LA and B = PLA)TPLBJ-PLA) P(B) = 0:30 + O c6O-(0.30%0.60) = 0.90-0.18 d. If three random students are selected, what is the probability that all three students live on campus? e. If three students are selected at random, what is the probability that exactly one of the three is a freshman?
3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on campus. Also, assume that living on campus is independent of the class of the student. PLAZ=3090=30/1003D0.30 and PLB)=6e0% = 160 110030.60 a. What is the probability thất a random student is a freshman who lives on campus? P (AnB)=PLAYPLB) MA orB)=PLAYPLB)-PCAnB) PLA)-1-PCA) PLA and BJ= PLAYP(B) = 0.30610 =010 b. What is the probability that a random student is not a freshman and does not live on campus? PLACNBC)= PLAY'PLB). - C-PLAU-P(B) %3D -C0700.40) = 0.28 c. What is the probability that a random student is a freshman or lives on campus? POA or B)=P CA)t P(B)-P LA and B = PLA)TPLBJ-PLA) P(B) = 0:30 + O c6O-(0.30%0.60) = 0.90-0.18 d. If three random students are selected, what is the probability that all three students live on campus? e. If three students are selected at random, what is the probability that exactly one of the three is a freshman?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:3. Suppose at a small college, 30% of the students are freshmen, and 60% of the
students live on campus. Also, assume that living on campus is independent of the class
of the student.
PLAZ=3090=30/1003D0.30
and PLB)= l60% = l60 /10030.660
a. What is the probability thất a random student'is a freshman who lives
on campus?
P (AnB)=PLAYPLB)
PH orB)= PLAY PLB)-PCANB) PLAP(B)
PLA)-1-PCA)
PLA and BJ=
= 6.305.10
=0.10
b. What is the probability that a random student is not a freshman and
does not live on campus?
- CI-PLA)U-P(B)
- C0700.40)
= 0.28
c. What is the probability that a random student is a freshman or liveş on campus?
PCA or B)=P CA)t P(B)-P LA and B
= PLA)TPLBJ-PLA)<P[B)
= 0-30 + O60-(0.30%0.60)
= 0.90-0.18
d. If three random students are selected, what is the probability that
all three students live on campus?
e. If three students are selected at random, what is the probability that
exactly one of the three is a freshman?
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