In a certain class 25% of the students failed in Mathematics, 15% failed in Chemistry, 10%...
In a certain class 25% of the students failed in Mathematics, 15% failed in Chemistry, 10% failed in both Mathematics and Chemistry. A student is selected at random.
(i) If he failed in Mathematics, what is the probability that he failed in Chemistry? [Ans. 2/5]
(ii) If he failed in Chemistry, what is the probability that he failed in Mathematics? [Ans. 2/3]
(iii) What is the probability that he failed both in Mathematics and Chemistry? [Ans. 1/10]
(iv) What is the probability that he failed in Mathematics or Chemistry? [Ans. 3/10]
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In a certain class 25% of the students failed in Mathematics,
15% failed in Chemistry, 10%...
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 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 events?...
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...
4 and 5 please 4. The class registrations of 100 students are analyzed. I is found...
4 and 5 please
4. The class registrations of 100 students are analyzed. I 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...
8 10 11 12 13 14 OC Suppose that a certain college class contains 58 students....
8 10 11 12 13 14 OC Suppose that a certain college class contains 58 students. Of these, 28 are sophomores, 36 are social science majors, and 10 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a social science major? (1) Given that the student selected is a social science major, what is the probability that he is also a sophomore? Write your responses...
In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and...
In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) the student took mathematics or history; (b) the student did not take either of these subjects; (c) the student took history but not mathematics. . . . The probability that a married man watches a certain television show is 0.4, and the probability that...
4&5 (b) at most a total of 4. 4. The class registrations of 100 students are...
4&5
(b) at most a total of 4. 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...
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...
There are three sections of English 101. In Section I, there are 20 students, of whom...
There are three sections of English 101. In Section I, there are 20 students, of whom 6 are mathematics majors. In Section II, there are 40 students, of whom 4 are mathematics majors. In Section III, there are 25 students, of whom 5 are mathematics majors. A student in English 101 is chosent at random. Find the probability that the student is from Section III given that he or she is a mathematics major.
Suppose that a certain college class contains 47 students of these, 28 are sophomores, 27 are...
Suppose that a certain college class contains 47 students of these, 28 are sophomores, 27 are business majors, and 8 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a business major? (b) Given that the student selected is a business major, what is the probability that he is also a sophomore? Write your responses as fractions. (If necessary, consult a list of formulas.)
1. Given below are marks obtained by 20 students out of 25 in Mathematics test. 21...
1. Given below are marks obtained by 20 students out of 25 in Mathematics test. 21 23 19 17 12 15 15 17 17 19 23 23 21 21 25 25 21 19 19 19 Calculate: i. measures of central tendency. (9 marks) ii. range and semi inter-quartile range. (6 marks) iii. variance and determine the shape of skewness. (5 marks) (b) A factory produces components of which 1% is defective. The components are packed in boxes of 10. A...
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...
4 and 5 please
4. The class registrations of 100 students are analyzed. I 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...
8 10 11 12 13 14 OC Suppose that a certain college class contains 58 students. Of these, 28 are sophomores, 36 are social science majors, and 10 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a social science major? (1) Given that the student selected is a social science major, what is the probability that he is also a sophomore? Write your responses...
In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) the student took mathematics or history; (b) the student did not take either of these subjects; (c) the student took history but not mathematics. . . . The probability that a married man watches a certain television show is 0.4, and the probability that...
4&5
(b) at most a total of 4. 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...
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...
Suppose that a certain college class contains 47 students of these, 28 are sophomores, 27 are business majors, and 8 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a business major? (b) Given that the student selected is a business major, what is the probability that he is also a sophomore? Write your responses as fractions. (If necessary, consult a list of formulas.)
1. Given below are marks obtained by 20 students out of 25 in Mathematics test. 21 23 19 17 12 15 15 17 17 19 23 23 21 21 25 25 21 19 19 19 Calculate: i. measures of central tendency. (9 marks) ii. range and semi inter-quartile range. (6 marks) iii. variance and determine the shape of skewness. (5 marks) (b) A factory produces components of which 1% is defective. The components are packed in boxes of 10. A...
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