4. Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people. a. Everyone in your class has a cellular phone. b. Somebody in your class has seen a foreign movie. There is a person in your class who cannot swim. C. d. All students in your class can solve quadratic equations. Some students in your class do not want to be rich. e. 5. Customers arrive at a local store at a rate of 6 per hour. a. What is the probability that, in any 2.5 hour period, the number of customers arriving is: (i) exactly 7 (ii) at least 10 b. A customer arrives at the local store at 3:35pm. What is the probability that the next customer arrives before 3:50pm?
4. Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people. a. Everyone in your class has a cellular phone. b. Somebody in your class has seen a foreign movie. There is a person in your class who cannot swim. C. d. All students in your class can solve quadratic equations. Some students in your class do not want to be rich. e. 5. Customers arrive at a local store at a rate of 6 per hour. a. What is the probability that, in any 2.5 hour period, the number of customers arriving is: (i) exactly 7 (ii) at least 10 b. A customer arrives at the local store at 3:35pm. What is the probability that the next customer arrives before 3:50pm?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. Translate in two ways each of these statements into logical expressions using predicates,
quantifiers, and logical connectives. First, let the domain consist of the students in your class and
second, let it consist of all people.
a. Everyone in your class has a cellular phone.
b.
C.
Somebody in your class has seen a foreign movie.
There is a person in your class who cannot swim.
All students in your class can solve quadratic equations.
Some students in your class do not want to be rich.
d.
e.
5. Customers arrive at a local store at a rate of 6 per hour.
a. What is the probability that, in any 2.5 hour period, the number of customers arriving is:
(i) exactly 7
(ii) at least 10
b. A customer arrives at the local store at 3:35pm. What is the probability that the next
customer arrives before 3:50pm?
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