Statistical Events
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12) The physical science degrees conferred by a school between 1992 and 1995 were broken down as follows:
Major Male Female Totals
Physics 25 25 50
Chemistry 60 40 100
Geology 30 20 50
Totals 115 85 200
Suppose a person is selected at random from these graduates. Consider the following events:
M: The person is a male.
F: The person is a female.
P: The person graduated in physics.
C: The person graduated in chemistry.
G: The person graduated in geology.
Find:
a) P(M)
b) P(M|P)
c) P(C and F)
d) P(C|F)
e) P(C and G)
f) P(C or G)
g) Are events C & F independent? Give a reason for your answer.
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Solution Summary
12) The physical science degrees conferred by a school between 1992 and 1995 were broken down as follows:
Major Male Female Totals
Physics 25 25 50
Chemistry 60 40 100
Geology 30 20 50
Totals 115 85 200
Suppose a person is selected at random from these graduates. Consider the following events:
M: The person is a male.
F: The person is a female.
P: The person graduated in physics.
C: The person graduated in chemistry.
G: The person graduated in geology.
Find:
a) P(M)
b) P(M|P)
c) P(C and F)
d) P(C|F)
e) P(C and G)
f) P(C or G)
g) Are events C & F independent? Give a reason for your answer.
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a) P(M)
Solution. Since there are 50+100+50=200 graduates, of them there are 115 who are male. So, P(M)=115/200=0.575
b) P(M|P)
Solution. Since there are 50 graduates from major physics, among them there are 25 who are male. Thus,
P(M|P)=25/50=0.5
c) P(C and F)
Solution. Since there are ...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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