![BSP2014 Tutorial]1 1) Let P(A)-0.4 and P(AuB)-0.6 i) For what value of P(B) are if A and B mutually exclusitve? ii) For what value of P(B) are if A and B independent? 2) There are total of 400 Beta students registered in Financial Engineering for Cyberjaya and Melaka campus. The table below represents the tabulation of students according to their gender and c ampus. MelakaIL) Cyberjaya(C)Total 180 60 Male(M) Total 140 400 If a student is selected randomly, find the probability that i) the student is a male ii) the student is from Cyberjaya campus iii) the student is a male given that he is from Cyberjaya campus iv) the student is female g v) the student is female or from Melaka campus iven that she is from Melak a campus 3) Two cards are drawn from 52 cards. Find probability that they are both Kings if the first card is i) replaced ii) not replaced 4) A math teacher gave her class two tests. 65% of the class passed the first test given that they also passed the second test. The percentages that the class passed the first test and second test are 70% and 50% respectively i) What is the probability for those who passed both tests? ii) What is the probability for those who passed the second test given that they passed the first test? iii) What is the probability for those who passed first test or second test?](http://img.homeworklib.com/questions/de588160-7145-11ea-b6e8-2b9f863d7009.png?x-oss-process=image/resize,w_560)
Homework Answers
![2N Totat student400 Weete the given table fnst Melaka (ML) yejaya( Total eco Table 2. Femal()12o Mole ()140 Total l 80 80 22 O 26 O 140 As tho owsums and column suns add ub to 400, e can easidy complete the table. P(M) oPL he student is a male] 220-1 . 40020 (from the table Table 23) 20 400 Cyber Cra PCe) 40/ 400 Meleka Campur 12ơ 13 P(ML) 26400 =120十260 120 . . = 320-9 00 40400400 5](http://img.homeworklib.com/questions/df564e20-7145-11ea-9f63-d98aec0ac5b5.png?x-oss-process=image/resize,w_560)
![3 a 2 cards are draian rom 52 Cards cards are Both cardん one- xb9,1 tirst card in epace l6 2. (射や. 52 L Here, I card ís selected z-on 4 Kr9s. hen placed tpain is seleced frtm p〔Both cards ate king if the test and 7) 52 2. 52 6) ays.henem the ivaining is selesked in ()as 4 Let T Raisiry fust test 飞: Passing second test Poasig fust test PL] ob. of ssivg secord test Given that ) (T)--70 . , , P(互)-SO 100 l0o](http://img.homeworklib.com/questions/e0206470-7145-11ea-b3f1-ad8acdf5fd73.png?x-oss-process=image/resize,w_560)
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BSP2014 Tutorial]1 1) Let P(A)-0.4 and P(AuB)-0.6 i) For what value of P(B) are if A...
The person does not have neither a male nor & college degree. 06: One class contains...
The person does not have neither a male nor & college degree. 06: One class contains 13 male students and 10 female students. A second class contains 7 male students and 15 female students. One student is selected from the first class and placed unseen in the second class. What is the probability that a student now selected from the second class is a female?
I am wondering if you can help me out with these questions. I am very confused....
I am wondering if you can help me out with these questions. I am very confused. 1. A math teacher gave her class two tests. While 70% of the class passed the first test and 75% of the class passed the second test, only 65% of the class passed both. Given that the students failed the first test, what probability of those will passed the second test? 2. In the game of roulette, a player can place a $5 bet...
Question 1 (30 marks) (a) 500 adults were asked whether or not they will get married in the next ...
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1. Suppose you roll a special 19-sided die. What is the probability that the number rolled...
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Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A...
Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. (a) Could it be the case that P(A nB)-0.57 Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) s P(8).] e No, this is not possible. Since A n B is contained in...
Mrs. Harvey's English class has 42 students, classified by academic year and gender as follows Freshman...
Mrs. Harvey's English class has 42 students, classified by academic year and gender as follows Freshman Sophomore Junior Senior Male 9 5 2 3 Female 12 5 4 2 I) Mrs. Harvey chooses one student at random. What is the probability that she chooses a senior? II) Mrs. Harvey chooses one student at random. What is the probability that she chooses a sophomore or a female? III) Mrs. Harvey chooses one student at random. What is the probability that she...
B) Epidemiologists claim that the probability of breast cancer among Caucasian women in their mid-50s is...
B) Epidemiologists claim that the probability of
breast cancer among
Caucasian women in their mid-50s is 0.005. An established test
identified
people who had breast cancer and those that were healthy. A
new
mammography test in clinical trials has a probability of 0.85 for
detecting
cancer correctly. In women without breast cancer, it has a chance
of 0.925
for a negative result. If a 55-year-old Caucasian woman tests
positive for
breast cancer, what is the probability that she, in fact,...
PYTHON*************** Create a Person Class that: Accepts First Name, Last Name, Age, and Gender Has a...
PYTHON*************** Create a Person Class that: Accepts First Name, Last Name, Age, and Gender Has a method that adds all persons Validate all input, not left empty for First Name, Last Name, Gender and numeric for age and throw an exception if it does not validate within the class. Create a Student Class that: Inherits the Person Class Accepts GPA Validate GPA (>= 0 and <= 4.0) and throw exception if it does not validate within the class. Has methods...
QUESTION 3 A class wrote two Mathematics tests. 72% of the class passed both tests and...
QUESTION 3 A class wrote two Mathematics tests. 72% of the class passed both tests and 90% of the class passed the first test. A student is chosen at random from this class. What is the probability that the student passed the second test given that the student passed the first test? QUESTION 4 The mean number of cars confiscated by a wrecker is five per day. Using the Poisson distribution, a) find the probability of the number of cars...
1. If AA and BB are two mutually exclusive events with P(A)=0.3 and P(B)=0.6, find the...
1. If AA and BB are two mutually exclusive events with P(A)=0.3 and P(B)=0.6, find the following probabilities: a) P(A^c)= b) P(B^c)= c) P((A∪B)^c)= d) P(A∩B^c)= 2. An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 104 students in the school. There are 43 in the Spanish class, 34 in the French class, and 24 in the German class. There are 17 students...
The person does not have neither a male nor & college degree. 06: One class contains 13 male students and 10 female students. A second class contains 7 male students and 15 female students. One student is selected from the first class and placed unseen in the second class. What is the probability that a student now selected from the second class is a female?
Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. (a) Could it be the case that P(A nB)-0.57 Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) s P(8).] e No, this is not possible. Since A n B is contained in...
B) Epidemiologists claim that the probability of
breast cancer among
Caucasian women in their mid-50s is 0.005. An established test
identified
people who had breast cancer and those that were healthy. A
new
mammography test in clinical trials has a probability of 0.85 for
detecting
cancer correctly. In women without breast cancer, it has a chance
of 0.925
for a negative result. If a 55-year-old Caucasian woman tests
positive for
breast cancer, what is the probability that she, in fact,...
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