124, Missiles In his novel Debt of Honor, Tom Clancy writes the following: "There were ten target points-missile silos, the intelli- gence data said, and it pleased the Colonel (Zacharias] to be eliminating the hateful things, even though the price of that was the lives of other men. There were only three of them [bombers], and his bomber, like the others, carried only eight weapons [smart bombs]. The total number of weapons carried for the mission was only twenty-four, with two designated for each silo, and Zacharias's last four for the last target. Two bombs each. Every bomb had a 95% probability of hitting within four meters of the aim point, pretty good numbers really, except that this sort of mission had precisely no margin for error. Even the paper probability was less than half a percent chance of a double miss, but that number times ten targets meant a 5% chance that [at least] one missile would survive, and that could not be tolerated." Source: Debt of Honor. Determine whether the caleulations in this quote are correct by the following steps. d What is the probability that at least one silo survived? Does this agree with the quote?
124, Missiles In his novel Debt of Honor, Tom Clancy writes the following: "There were ten target points-missile silos, the intelli- gence data said, and it pleased the Colonel (Zacharias] to be eliminating the hateful things, even though the price of that was the lives of other men. There were only three of them [bombers], and his bomber, like the others, carried only eight weapons [smart bombs]. The total number of weapons carried for the mission was only twenty-four, with two designated for each silo, and Zacharias's last four for the last target. Two bombs each. Every bomb had a 95% probability of hitting within four meters of the aim point, pretty good numbers really, except that this sort of mission had precisely no margin for error. Even the paper probability was less than half a percent chance of a double miss, but that number times ten targets meant a 5% chance that [at least] one missile would survive, and that could not be tolerated." Source: Debt of Honor. Determine whether the caleulations in this quote are correct by the following steps. d What is the probability that at least one silo survived? Does this agree with the quote?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![124, Missiles In his novel Debt of Honor, Tom Clancy writes the
following:
"There were ten target points-missile silos, the intelli-
gence data said, and it pleased the Colonel (Zacharias] to
be eliminating the hateful things, even though the price of
that was the lives of other men. There were only three of
them [bombers], and his bomber, like the others, carried
only eight weapons [smart bombs]. The total number of
weapons carried for the mission was only twenty-four, with
two designated for each silo, and Zacharias's last four for
the last target. Two bombs each. Every bomb had a 95%
probability of hitting within four meters of the aim point,
pretty good numbers really, except that this sort of mission
had precisely no margin for error. Even the paper probability
was less than half a percent chance of a double miss, but that
number times ten targets meant a 5% chance that [at least]
one missile would survive, and that could not be tolerated."
Source: Debt of Honor.
Determine whether the caleulations in this quote are correct
by the following steps.
d What is the probability that at least one silo survived?
Does this agree with the quote?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7bddfbe-a764-4ace-9bd0-5f9e14b7dd90%2Fa107adc5-470c-4b7f-b6e9-ed059b4290e7%2F6p4x48_processed.png&w=3840&q=75)
Transcribed Image Text:124, Missiles In his novel Debt of Honor, Tom Clancy writes the
following:
"There were ten target points-missile silos, the intelli-
gence data said, and it pleased the Colonel (Zacharias] to
be eliminating the hateful things, even though the price of
that was the lives of other men. There were only three of
them [bombers], and his bomber, like the others, carried
only eight weapons [smart bombs]. The total number of
weapons carried for the mission was only twenty-four, with
two designated for each silo, and Zacharias's last four for
the last target. Two bombs each. Every bomb had a 95%
probability of hitting within four meters of the aim point,
pretty good numbers really, except that this sort of mission
had precisely no margin for error. Even the paper probability
was less than half a percent chance of a double miss, but that
number times ten targets meant a 5% chance that [at least]
one missile would survive, and that could not be tolerated."
Source: Debt of Honor.
Determine whether the caleulations in this quote are correct
by the following steps.
d What is the probability that at least one silo survived?
Does this agree with the quote?
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