3. A trial has just resulted in a hung jury because eight numbers of the jury were in favor of a guilty verdict and the other four were for acquittal. Suppose the jurors leave the jury room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview. (a) What is the pmf of X = the number of jurors favoring acquittal among those interviewed? (b) Find EX and SD(X). (c) What is the pmf and cdf of Y = 3 - X?
3. A trial has just resulted in a hung jury because eight numbers of the jury were in favor of a guilty verdict and the other four were for acquittal. Suppose the jurors leave the jury room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview. (a) What is the pmf of X = the number of jurors favoring acquittal among those interviewed? (b) Find EX and SD(X). (c) What is the pmf and cdf of Y = 3 - X?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Can someone please solve problem 3?
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![2. It was reported that 7 in 10 auto accidents involve a single vehicle. Let X be the number of accidents
that involved a single vehicle among 3 randomly selected accidents.
(a) Find the pmf function of X.
(b) What is the cumulative distribution function of X? Tabulate the pmf function and the cdf of
X?
(c) What are the expected value and standard deviation of X?
(Hint: Note that X is the number of accidents that involve a single vehicle among 3 accidents. What
distribution is it?)
3. A trial has just resulted in a hung jury because eight numbers of the jury were in favor of a guilty
verdict and the other four were for acquittal. Suppose the jurors leave the jury room in random order
and each of the first three leaving the room is accosted by a reporter in quest of an interview.
(a) What is the pmf of X
=
(b) Find EX and SD(X).
(c) What is the pmf and cdf of Y = 3 - X?
the number of jurors favoring acquittal among those interviewed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77ccc228-61ae-45bc-bff3-36e89ce5abe9%2Fc66c022f-de2b-4ba2-9266-eaf0f83fc253%2Fda61ulq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. It was reported that 7 in 10 auto accidents involve a single vehicle. Let X be the number of accidents
that involved a single vehicle among 3 randomly selected accidents.
(a) Find the pmf function of X.
(b) What is the cumulative distribution function of X? Tabulate the pmf function and the cdf of
X?
(c) What are the expected value and standard deviation of X?
(Hint: Note that X is the number of accidents that involve a single vehicle among 3 accidents. What
distribution is it?)
3. A trial has just resulted in a hung jury because eight numbers of the jury were in favor of a guilty
verdict and the other four were for acquittal. Suppose the jurors leave the jury room in random order
and each of the first three leaving the room is accosted by a reporter in quest of an interview.
(a) What is the pmf of X
=
(b) Find EX and SD(X).
(c) What is the pmf and cdf of Y = 3 - X?
the number of jurors favoring acquittal among those interviewed?
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