There are 1500 juniors in a college. Among the 1500 juniors, 600 students are ta
ID: 3331674 • Letter: T
Question
There are 1500 juniors in a college. Among the 1500 juniors, 600 students are taking STAT200, and 800 students are taking PSYC300. There are 500 students taking both courses. Let S be the event that a randomly selected student takes STAT200, and P be the event that a randomly selected student takes PSYC300. (Show all work. Just the answer, without supporting work, will receive no credit.)
(a) Provide a written description of the complement event of (S OR P).
(b) What is the probability of complement event of (S OR P)?
Explanation / Answer
Let S be the event that a randomly selected student takes STAT200.
P be the event that a randomly selected student takes PSYC300.
n=total number of juniar students in a college =1500
S=student takes STAT200. = 600
P= students are taking PSYC300 =800
S and P both taking = 500
So the
Probability of S
P(S) = student takes STAT200 / total number of juniar students in a college
= 600 / 1500
=0.4
Probability of P
P(P) = students are taking PSYC300 / total number of juniar students in a college
= 800 / 1500
=0.5333
Probability of S and P
P(S and P) = S and P both taking / total number of juniar students in a college
= 500 / 1500
= 0.3333
Probability of (S OR P)
P(S OR P) = P(S) + P(P) - P(S and P)
= 0.4 + 0.5333 - 0.3333
=0.6
(a) Provide a written description of the complement event of (S OR P)
compliment event of ( S OR P) means those student are not in event (S OR P) is called as compliment event of (S OR P).
(b) What is the probability of complement event of (S OR P)
probability of complement event of (S OR P) = 1 - P(S OR P)
= 1 - 0.6
= 0.4
is the probability of complement event of (S OR P)
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