1.In each of the following cases, describe a suitable sample space for the experiment, state whether the sample space is discrete or continuous (or neither) and identify the event indicated as a subset of this sample space. (a) Experiment: toss a coin three times. Event: the number of heads is even. (b) Experiment: count the number r of red tomatoes and the number y of yellow tomatoes grown by a gardener. Event: there are more yellow tomatoes than red ones. (c) Experiment: observe the arrival time of a train, relative to its scheduled arrival time. Event: the train arrives at least five minutes early.
1.In each of the following cases, describe a suitable sample space for the experiment, state whether the sample space is discrete or continuous (or neither) and identify the event indicated as a subset of this sample space. (a) Experiment: toss a coin three times. Event: the number of heads is even. (b) Experiment: count the number r of red tomatoes and the number y of yellow tomatoes grown by a gardener. Event: there are more yellow tomatoes than red ones. (c) Experiment: observe the arrival time of a train, relative to its scheduled arrival time. Event: the train arrives at least five minutes early.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 48CR
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![1.In each of the following cases, describe a suitable sample space for the experiment, state whether
the sample space is discrete or continuous (or neither) and identify the event indicated as a subset
of this sample space.
(a) Experiment: toss a coin three times.
Event: the number of heads is even.
(b) Experiment: count the number r of red tomatoes and the number y of yellow tomatoes grown by
a gardener.
Event: there are more yellow tomatoes than red ones.
(c) Experiment: observe the arrival time of a train, relative to its scheduled arrival time.
Event: the train arrives at least five minutes early.
(d) Experiment: measure the quantities a, b, c (in cm) of rainfall in a day at each of three weather
stations A, B and C.
Event: it is driest at station A.
2. Suppose we have 2=[0,9]={xR;0<x<9}, A=(1,5)={x=R;1<x<6},B=[3,7]={xER;3≤x≤7}.Try
to express AUB, ANB, A\B, A.
3. Assume the events A,B,C, please express the following event:
(1)A happens, B,C do not happen;
(2)A,B happen, C does not happen;
(3)A,B,C all happen;
(4)A,B,C all donot happen;
(5)At least one happens among A,B,C;
(6)At least two happen among A,B,C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0aa27a28-efdb-4d0f-aad3-266fe3536dfa%2Fba4d7cc9-b962-4740-8f70-30f034a9528e%2F9pu83h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.In each of the following cases, describe a suitable sample space for the experiment, state whether
the sample space is discrete or continuous (or neither) and identify the event indicated as a subset
of this sample space.
(a) Experiment: toss a coin three times.
Event: the number of heads is even.
(b) Experiment: count the number r of red tomatoes and the number y of yellow tomatoes grown by
a gardener.
Event: there are more yellow tomatoes than red ones.
(c) Experiment: observe the arrival time of a train, relative to its scheduled arrival time.
Event: the train arrives at least five minutes early.
(d) Experiment: measure the quantities a, b, c (in cm) of rainfall in a day at each of three weather
stations A, B and C.
Event: it is driest at station A.
2. Suppose we have 2=[0,9]={xR;0<x<9}, A=(1,5)={x=R;1<x<6},B=[3,7]={xER;3≤x≤7}.Try
to express AUB, ANB, A\B, A.
3. Assume the events A,B,C, please express the following event:
(1)A happens, B,C do not happen;
(2)A,B happen, C does not happen;
(3)A,B,C all happen;
(4)A,B,C all donot happen;
(5)At least one happens among A,B,C;
(6)At least two happen among A,B,C.
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