4. There's no such thing as an accident. Suppose that the number of accidents that a person has in a given year is a Poisson random variable with mean A. However, suppose that the value of A changes from person to person, being equal to 2 for 60 percent of the population and 3 for the other 40 percent. (a) If a person is chosen at random, what is the probability that he will have (a) 0 accidents and (b) exactly 3 accidents in a certain year? (b) What is the conditional probability that he will have 3 accidents in a given year, given that he had no accidents the preceding year? (Write out all of your steps). You'll need to answer this first: what is the probability that the random person's A value is equal to 2, given that he had no accidents the preceding year? What is the probability that the random person's A value is equal to 3, given that he had no accidents the preceding year?
4. There's no such thing as an accident. Suppose that the number of accidents that a person has in a given year is a Poisson random variable with mean A. However, suppose that the value of A changes from person to person, being equal to 2 for 60 percent of the population and 3 for the other 40 percent. (a) If a person is chosen at random, what is the probability that he will have (a) 0 accidents and (b) exactly 3 accidents in a certain year? (b) What is the conditional probability that he will have 3 accidents in a given year, given that he had no accidents the preceding year? (Write out all of your steps). You'll need to answer this first: what is the probability that the random person's A value is equal to 2, given that he had no accidents the preceding year? What is the probability that the random person's A value is equal to 3, given that he had no accidents the preceding year?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Plz solve correctly
![4.
There's no such thing as an accident. Suppose that the number of accidents that a person
has in a given year is a Poisson random variable with mean A. However, suppose that the value of A
changes from person to person, being equal to 2 for 60 percent of the population and 3 for the other
40 percent.
(a)
If a person is chosen at random, what is the probability that he will have (a) 0
accidents and (b) exactly 3 accidents in a certain year?
(b)
What is the conditional probability that he will have 3 accidents in a given year,
given that he had no accidents the preceding year? (Write out all of your steps).
You'll need to answer this first: what is the probability that the random person's A value is equal
to 2, given that he had no accidents the preceding year? What is the probability that the random
person's A value is equal to 3, given that he had no accidents the preceding year?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0402afef-09d2-4ec1-8a39-fe955f91f84a%2F98eb72f5-11dd-4436-a929-78b0ab37e3aa%2F20u6fjk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.
There's no such thing as an accident. Suppose that the number of accidents that a person
has in a given year is a Poisson random variable with mean A. However, suppose that the value of A
changes from person to person, being equal to 2 for 60 percent of the population and 3 for the other
40 percent.
(a)
If a person is chosen at random, what is the probability that he will have (a) 0
accidents and (b) exactly 3 accidents in a certain year?
(b)
What is the conditional probability that he will have 3 accidents in a given year,
given that he had no accidents the preceding year? (Write out all of your steps).
You'll need to answer this first: what is the probability that the random person's A value is equal
to 2, given that he had no accidents the preceding year? What is the probability that the random
person's A value is equal to 3, given that he had no accidents the preceding year?
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