rks Window Help d2l.mu.edu es/documents/arts-scien... https://www.marquette.edu/mucentral/registrar/documents/Fo.. 1700-exam-3- MATH Problem 2. Suppose out of 50 tables in a restaurant, 35 have a person who ordered with his/her entree, 25 have a person who ordered salad with his/her entree, and 10 have ordered both. soup (a) How many tables will have neither a soup nor a salad delivered to them? (b) How many tables will only have a salad delivered? (c) What is the probability that a table will have a soup or a salad delivered? (d) What is the probability that a table will not have a soup delivered? (e) Are the events "soup delivered to the table" and "salad delivered to the table" mutu- ally exclusive? Are they independent? Justify your answers. Problem 3. Suppose the BART train system in California has 5 backup generators in use in the North Bay Area for when PG&E cuts power. Each one of them has a probability o.99 of functioning when turned on. You may assume independence of the generators. (a) What is the probability that none of the generators will work? (b) If we require the use of 2 generators to provide enough power for the day, what is the probability we will not be able to provide that power? Problem 4. Suppose that the probability a farm in Wisconsin raises dairy cattle is o.4, the probability it grows corn is o.6, and the probability that it raises/grows both cattle and corn is o.2. Given that a farm is growing corn, what's the probability it also raises cattle? Problem 5. Suppose you will keep parking parking ticket. The probability of getting a parking ticket on any particular day is o.4 and the days can be assumed to be independent. What is the probability you will have parked for 15 days before you got your third ticket? on campus illegally until you get your 3rd Problem 6. Find the probability under the standard normal curve of each of the follow- ing: Data NTosae /2 1

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1700-exam-3- MATH
Problem 2. Suppose out of 50 tables in a restaurant, 35 have a person who ordered
with his/her entree, 25 have a person who ordered salad with his/her entree, and 10 have
ordered both.
soup
(a) How many tables will have neither a soup nor a salad delivered to them?
(b) How many tables will only have a salad delivered?
(c) What is the probability that a table will have a soup or a salad delivered?
(d) What is the probability that a table will not have a soup delivered?
(e) Are the events "soup delivered to the table" and "salad delivered to the table" mutu-
ally exclusive? Are they independent? Justify your answers.
Problem 3. Suppose the BART train system in California has 5 backup generators in use
in the North Bay Area for when PG&E cuts power. Each one of them has a probability
o.99 of functioning when turned on. You may assume independence of the generators.
(a) What is the probability that none of the generators will work?
(b) If we require the use of 2 generators to provide enough power for the day, what is
the probability we will not be able to provide that power?
Problem 4. Suppose that the probability a farm in Wisconsin raises dairy cattle is o.4,
the probability it grows corn is o.6, and the probability that it raises/grows both cattle
and corn is o.2. Given that a farm is growing corn, what's the probability it also raises
cattle?
Problem 5. Suppose you will keep parking
parking ticket. The probability of getting a parking ticket on any particular day is o.4
and the days can be assumed to be independent. What is the probability you will have
parked for 15 days before you got your third ticket?
on campus illegally until you get your 3rd
Problem 6. Find the probability under the standard normal curve of each of the follow-
ing:
Data NTosae
/2
1
Transcribed Image Text:rks Window Help d2l.mu.edu es/documents/arts-scien... https://www.marquette.edu/mucentral/registrar/documents/Fo.. 1700-exam-3- MATH Problem 2. Suppose out of 50 tables in a restaurant, 35 have a person who ordered with his/her entree, 25 have a person who ordered salad with his/her entree, and 10 have ordered both. soup (a) How many tables will have neither a soup nor a salad delivered to them? (b) How many tables will only have a salad delivered? (c) What is the probability that a table will have a soup or a salad delivered? (d) What is the probability that a table will not have a soup delivered? (e) Are the events "soup delivered to the table" and "salad delivered to the table" mutu- ally exclusive? Are they independent? Justify your answers. Problem 3. Suppose the BART train system in California has 5 backup generators in use in the North Bay Area for when PG&E cuts power. Each one of them has a probability o.99 of functioning when turned on. You may assume independence of the generators. (a) What is the probability that none of the generators will work? (b) If we require the use of 2 generators to provide enough power for the day, what is the probability we will not be able to provide that power? Problem 4. Suppose that the probability a farm in Wisconsin raises dairy cattle is o.4, the probability it grows corn is o.6, and the probability that it raises/grows both cattle and corn is o.2. Given that a farm is growing corn, what's the probability it also raises cattle? Problem 5. Suppose you will keep parking parking ticket. The probability of getting a parking ticket on any particular day is o.4 and the days can be assumed to be independent. What is the probability you will have parked for 15 days before you got your third ticket? on campus illegally until you get your 3rd Problem 6. Find the probability under the standard normal curve of each of the follow- ing: Data NTosae /2 1
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