Probability of an Event 2-1. An injection-molded part is equally likely to be obtained from any one of the eight cavities on a mold. a) What is the sample space? b) What is the probability that a part is from cavity 1 or 2? c) What is the probability that a part is from nei- ther cavity 3 nor 4? 2-2. A box contains 500 envelopes, of which 75 con- tain $100 in cash, 150 contain $25, and 275 contain $10. An envelope may be purchased for $25. What is the sample space for the different amounts of money? Assign probabilities to the sample points and then find the probability that the first envelope purchased contains less than $100. 2-3. A pair of fair dice is tossed. Find the probability of getting a) a total of 8; b) at most a total of 5.
Probability of an Event 2-1. An injection-molded part is equally likely to be obtained from any one of the eight cavities on a mold. a) What is the sample space? b) What is the probability that a part is from cavity 1 or 2? c) What is the probability that a part is from nei- ther cavity 3 nor 4? 2-2. A box contains 500 envelopes, of which 75 con- tain $100 in cash, 150 contain $25, and 275 contain $10. An envelope may be purchased for $25. What is the sample space for the different amounts of money? Assign probabilities to the sample points and then find the probability that the first envelope purchased contains less than $100. 2-3. A pair of fair dice is tossed. Find the probability of getting a) a total of 8; b) at most a total of 5.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...
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![Probability of an Event
2-1. An injection-molded part is equally likely to be
obtained from any one of the eight cavities on a mold.
a) What is the sample space?
b) What is the probability that a part is from cavity
1 or 2?
c) What is the probability that a part is from nei-
ther cavity 3 nor 4?
2-2. A box contains 500 envelopes, of which 75 con-
tain $100 in cash, 150 contain $25, and 275 contain
$10. An envelope may be purchased for $25. What is
the sample space for the different amounts of money?
Assign probabilities to the sample points and then
find the probability that the first envelope purchased
contains less than $100.
2-3. A pair of fair dice is tossed. Find the probability
of getting
a) a total of 8;
b) at most a total of 5.
2-4. If 3 books are picked at random from a shelf con-
taining 5 novels, 3 books of poems, and a dictionary,
what is the probability that
a) the dictionary is selected?
b) 2 novels and 1 book of poems are selected?
2-5. The probabilities that a service station will
pump gas into 0, 1, 2, 3, 4, or 5 or more cars during
a certain 30-minute period are 0.03, 0.18, 0.24, 0.28,
0.10 and 0.17, respectively. Find the probability that
in this 30-minute period
a) more than 2 cars receive gas;
b) at most 4 cars receive gas.
2-6. A shipment of 12 television sets contains 3 de-
fective sets. In how many ways can a hotel purchase
5 of these sets and receive 2 of the defective sets?
2-7. Samples of emissions from three suppliers are
classified for conformance to air-quality specifica-
tions. The results from 100 samples are summarized
as follows:
Conforms
Yes
No
1
22
8
Supplier
2
25
5
3
30
10
Let A denote the event that a sample is from supplier
1, and let B denote the event that a sample conforms
to specifications. If a sample is selected at random,
determine the following probabilities:
a) P[A]
b) P[B]
c) P[A']
d) P[AN B]
e) P[AU B]
f) P[A'n B]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd36a4f47-43b3-4bee-a160-b93d46a3bd71%2F4d01c302-a135-4e93-8fdb-774da6f6803c%2Fon42ee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Probability of an Event
2-1. An injection-molded part is equally likely to be
obtained from any one of the eight cavities on a mold.
a) What is the sample space?
b) What is the probability that a part is from cavity
1 or 2?
c) What is the probability that a part is from nei-
ther cavity 3 nor 4?
2-2. A box contains 500 envelopes, of which 75 con-
tain $100 in cash, 150 contain $25, and 275 contain
$10. An envelope may be purchased for $25. What is
the sample space for the different amounts of money?
Assign probabilities to the sample points and then
find the probability that the first envelope purchased
contains less than $100.
2-3. A pair of fair dice is tossed. Find the probability
of getting
a) a total of 8;
b) at most a total of 5.
2-4. If 3 books are picked at random from a shelf con-
taining 5 novels, 3 books of poems, and a dictionary,
what is the probability that
a) the dictionary is selected?
b) 2 novels and 1 book of poems are selected?
2-5. The probabilities that a service station will
pump gas into 0, 1, 2, 3, 4, or 5 or more cars during
a certain 30-minute period are 0.03, 0.18, 0.24, 0.28,
0.10 and 0.17, respectively. Find the probability that
in this 30-minute period
a) more than 2 cars receive gas;
b) at most 4 cars receive gas.
2-6. A shipment of 12 television sets contains 3 de-
fective sets. In how many ways can a hotel purchase
5 of these sets and receive 2 of the defective sets?
2-7. Samples of emissions from three suppliers are
classified for conformance to air-quality specifica-
tions. The results from 100 samples are summarized
as follows:
Conforms
Yes
No
1
22
8
Supplier
2
25
5
3
30
10
Let A denote the event that a sample is from supplier
1, and let B denote the event that a sample conforms
to specifications. If a sample is selected at random,
determine the following probabilities:
a) P[A]
b) P[B]
c) P[A']
d) P[AN B]
e) P[AU B]
f) P[A'n B]
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