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Question A9 In a group of 20 students, 7 play badminton, 10 play football and 3...
In a group of 110 students 63 play basketball, 32 play soccer and 15 play both....
In a group of 110 students 63 play basketball, 32 play soccer and 15 play both. (a) Draw a Venn diagram with numbers to describe the above situation. (b) How many students only play soccer? (c) How many students play neither of those sports? (d) If we select a student at random in this group, what is the probability that they play neither of those two sports?
STC 308 AM 68%- Done IBQs Probability (2 of 2) 5) There are 20 students in...
STC 308 AM 68%- Done IBQs Probability (2 of 2) 5) There are 20 students in a classroom. Each student plays only one sport. The table below gives their sport and gender Football Tennis Hockey Female Male 4 (a) One student is selected at random (i) Calculate the probability that the student is a male or is a tennis player Given that the student selected is female, calculate the probability that the student does not play football. (b) Two students...
Probabilitv: NON-Mutually Exclusive Event 4. A group of 20 students have applied to be on a...
Probabilitv: NON-Mutually Exclusive Event 4. A group of 20 students have applied to be on a university committee that will advise government on tuition fee policy. Six of the students in total are completing a Bachelor of Science degree, 12 of the students in total are completing a Bachelor of Arts degree, 2 are completing degrees in both the faculty of Arts and the faculty of Science, and 3 are completing a Bachelor of Commerce degree (Business) only. One student...
15.35% of the kids in AMS are Psychology majors. (PS) 30% of the students in AMS...
15.35% of the kids in AMS are Psychology majors. (PS) 30% of the students in AMS are Business majors. (B) 5% are both. Use a Venn diagram to help you answer the following: a. What is the probability that an AMS student selected at random is a Psychology major but not a business major? b. What is the probability that the student majors in neither Psychology nor Business? c. Are the events Psychology Major and Business Major independent or dependent?...
A study on class demographics found that 60% of the students are engineering majors, 20% are...
A study on class demographics found that 60% of the students are engineering majors, 20% are mathematics majors, and 5% are studying both engineering and math. Suppose a random student from class is chosen. Let E stand for the event that an engineering student is selected and let M stand for the event that a mathematics major is selected. Suppose a random student is selected. Calculate the following. (a) P(MC) = 0.8 (b) P(E or M) = 0.75 (c) P(E...
Exercise 3 (8 marks) Select a Canadian household at random, and let Abe the event that...
Exercise 3 (8 marks) Select a Canadian household at random, and let Abe the event that the selected household is prosperous (income exceeds $85, 000) and B the event that the household is educated (completed college). According to the Census Bureau, P(A)=0.125, P(B)=0.237, and the probability that a household is both prosperous and educated is PIA and B)=0.077. a) What is the probability that the household selected is either prosperous or educated? b) Draw a Venn diagram that shows {A...
Giving a test to a group of students, the grades and gender are summarized below Male...
Giving a test to a group of students, the grades and gender are summarized below Male Female Total A 19 11 30 B 15 16 31 C 5 13 18 Total 39 40 79 Let Y be the event that the student got a "B" If one student is chosen at random, find P(7). Hint Remember, the notation Y is the 'complement' of event Y. So to find P(Y), you are finding the probability that event Y did NOT happen....
The class registrations of 100 students are analyzed. It is found that 50 students study Applied...
The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that 1. the student took applied mechanics or chemistry . ii. the student did not take either of these subjects 111. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive...
4. The class registrations of 100 students are analyzed. It is found that 50 students study...
4. The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive...
The Venn diagram below shows the 11 students in Ms. Flores's dass. The diagram shows the...
The Venn diagram below shows the 11 students in Ms. Flores's dass. The diagram shows the memberships for the Volleyball Club and the Science Club. Note that "Jenny" and "Chau are outside the airdes since they are not members of either club. One student from the class is randomly selected Let A denote the event "the student is in the Volleyball Club. Let B denote the event "the student is in the Science Oub." VolleyballScience eisha Chang Kareern Tammy AustinSusan...
STC 308 AM 68%- Done IBQs Probability (2 of 2) 5) There are 20 students in a classroom. Each student plays only one sport. The table below gives their sport and gender Football Tennis Hockey Female Male 4 (a) One student is selected at random (i) Calculate the probability that the student is a male or is a tennis player Given that the student selected is female, calculate the probability that the student does not play football. (b) Two students...
Probabilitv: NON-Mutually Exclusive Event 4. A group of 20 students have applied to be on a university committee that will advise government on tuition fee policy. Six of the students in total are completing a Bachelor of Science degree, 12 of the students in total are completing a Bachelor of Arts degree, 2 are completing degrees in both the faculty of Arts and the faculty of Science, and 3 are completing a Bachelor of Commerce degree (Business) only. One student...
15.35% of the kids in AMS are Psychology majors. (PS) 30% of the students in AMS are Business majors. (B) 5% are both. Use a Venn diagram to help you answer the following: a. What is the probability that an AMS student selected at random is a Psychology major but not a business major? b. What is the probability that the student majors in neither Psychology nor Business? c. Are the events Psychology Major and Business Major independent or dependent?...
A study on class demographics found that 60% of the students are engineering majors, 20% are mathematics majors, and 5% are studying both engineering and math. Suppose a random student from class is chosen. Let E stand for the event that an engineering student is selected and let M stand for the event that a mathematics major is selected. Suppose a random student is selected. Calculate the following. (a) P(MC) = 0.8 (b) P(E or M) = 0.75 (c) P(E...
Exercise 3 (8 marks) Select a Canadian household at random, and let Abe the event that the selected household is prosperous (income exceeds $85, 000) and B the event that the household is educated (completed college). According to the Census Bureau, P(A)=0.125, P(B)=0.237, and the probability that a household is both prosperous and educated is PIA and B)=0.077. a) What is the probability that the household selected is either prosperous or educated? b) Draw a Venn diagram that shows {A...
Giving a test to a group of students, the grades and gender are summarized below Male Female Total A 19 11 30 B 15 16 31 C 5 13 18 Total 39 40 79 Let Y be the event that the student got a "B" If one student is chosen at random, find P(7). Hint Remember, the notation Y is the 'complement' of event Y. So to find P(Y), you are finding the probability that event Y did NOT happen....
The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that 1. the student took applied mechanics or chemistry . ii. the student did not take either of these subjects 111. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive...
4. The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive...
The Venn diagram below shows the 11 students in Ms. Flores's dass. The diagram shows the memberships for the Volleyball Club and the Science Club. Note that "Jenny" and "Chau are outside the airdes since they are not members of either club. One student from the class is randomly selected Let A denote the event "the student is in the Volleyball Club. Let B denote the event "the student is in the Science Oub." VolleyballScience eisha Chang Kareern Tammy AustinSusan...
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