12. One hundred people each have a probability of 0.01 of contracting a disease. What is the probability that two or fewer out of 100 get the disease? Use both 6 binomial and Poisson distributions. Which distribution is more appropriate, and which serves as an approximation? yonuten square miles during the course

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Chapter1: Combinatorial Analysis
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(e) Among
year?
12. One hundred people each have a probability of 0.01 of contracting a disease.
What is the probability that two or fewer out of 100 get the disease? Use both
binomial and Poisson distributions. Which distribution is more appropriate, and
which serves as an approximation?
13. On average, there are two bicycle thefts every ten square miles during the course
of a month.
(a)
What is the probability that there will be no bicycle thefts in a ten square mile
area next month?
(b) What is the probability that there will be no bicycle thefts in a seven square
mile area next month?
(c) What is the probability that there will be at least one bicycle theft in a 20
square mile area next month?
(d) What is the probability that there will be exactly one bicycle theft in a ten
square mile area over the next ten days?
intribution characterizes length of residence for a large
Transcribed Image Text:(e) Among year? 12. One hundred people each have a probability of 0.01 of contracting a disease. What is the probability that two or fewer out of 100 get the disease? Use both binomial and Poisson distributions. Which distribution is more appropriate, and which serves as an approximation? 13. On average, there are two bicycle thefts every ten square miles during the course of a month. (a) What is the probability that there will be no bicycle thefts in a ten square mile area next month? (b) What is the probability that there will be no bicycle thefts in a seven square mile area next month? (c) What is the probability that there will be at least one bicycle theft in a 20 square mile area next month? (d) What is the probability that there will be exactly one bicycle theft in a ten square mile area over the next ten days? intribution characterizes length of residence for a large
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