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In response to an attack of 10 missiles, 500 antiballistic
Chapter 4, Problem 68P(choose chapter or problem)
Problem 68P
In response to an attack of 10 missiles, 500 antiballistic missiles are launched. The missile targets of the antiballistic missiles are independent, and each antiballstic missile is equally likely to go towards any of the target missiles. If each antiballistic missile independently hits its target with probability .1, use the Poisson paradigm to approximate the probability that all missiles are hit.
Questions & Answers
QUESTION:
Problem 68P
In response to an attack of 10 missiles, 500 antiballistic missiles are launched. The missile targets of the antiballistic missiles are independent, and each antiballstic missile is equally likely to go towards any of the target missiles. If each antiballistic missile independently hits its target with probability .1, use the Poisson paradigm to approximate the probability that all missiles are hit.
ANSWER:
Solution :
Step 1 of 1:
Given in response to an attack of 10 missiles and 500 antiballistic missiles are launched.
If each antiballistic missile independently hits its target with probability is 0.1.
Our goal is:
We need to find the probability that all missiles are hit.
There are 500 antiballistic missiles.
Then the probability of targeting a particular incoming missile is
0.01
Then we know that 500 antiballistic missiles are launched.
So, n = 500.