The Bone Critter is a monster movie about the town of Nantwich, which is plagued by attacks from the Bone Critter monster. On average, there are 6 attacks in 2 weeks. Consider the following: There is a new police chief in town, Jake Bond, and has decided that he should probably pay attention to the frequency of monster attacks. Let A be the number of monster attacks that Nantwich in the first month of Bond's job. (Use 1 month = 4 weeks) a) What are the distribution, parameter(s) and support of A? b) What is the probability that Bond gets a relaxing first month on the job (i.e. no monster attacks)? c) Let B be the time until Bond has to deal with a monster attack. What are the distribution, parameter(s) and support of B?

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The Bone Critter is a monster movie about the town of Nantwich, which is plagued by attacks from the Bone
Critter monster. On average, there are 6 attacks in 2 weeks. Consider the following:
There is a new police chief in town, Jake Bond, and has decided that he should probably pay attention to the
frequency of monster attacks.
Let A be the number of monster attacks that Nantwich in the first month of Bond's job. (Use 1 month = 4
weeks)
a) What are the distribution, parameter(s) and support of A?
b) What is the probability that Bond gets a relaxing first month on the job (i.e. no monster attacks)?
c) Let B be the time until Bond has to deal with a monster attack. What are the distribution, parameter(s)
and support of B?
d) What is the probability that Bond has to wait more than 5 weeks for a monster attack to occur?
e) It has been 2 weeks since the last attack occurred. What is the probability it will take between 2.5 and 5
weeks for the next attack to occur?
f) Suppose it is known that in an 8-week period there were 15 monster attacks in Nantwich. What is the
probability that 5 of these attacks were in the last 2 weeks of this period?
Transcribed Image Text:The Bone Critter is a monster movie about the town of Nantwich, which is plagued by attacks from the Bone Critter monster. On average, there are 6 attacks in 2 weeks. Consider the following: There is a new police chief in town, Jake Bond, and has decided that he should probably pay attention to the frequency of monster attacks. Let A be the number of monster attacks that Nantwich in the first month of Bond's job. (Use 1 month = 4 weeks) a) What are the distribution, parameter(s) and support of A? b) What is the probability that Bond gets a relaxing first month on the job (i.e. no monster attacks)? c) Let B be the time until Bond has to deal with a monster attack. What are the distribution, parameter(s) and support of B? d) What is the probability that Bond has to wait more than 5 weeks for a monster attack to occur? e) It has been 2 weeks since the last attack occurred. What is the probability it will take between 2.5 and 5 weeks for the next attack to occur? f) Suppose it is known that in an 8-week period there were 15 monster attacks in Nantwich. What is the probability that 5 of these attacks were in the last 2 weeks of this period?
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