Question

Suppose the probability of a major earthquake on a given day is 1 out of 3,523. Approximate the probability that there will be at least one major earthquake in the next 1,739 days. Express your answer as a percentage rounded to the nearest hundredth.

Answer #1

USA Today reported that Parkfield, California, is
dubbed the world's earthquake capital because it sits on top of the
notorious San Andreas fault. Since 1857, Parkfield has had a major
earthquake on the average of 1.7 times every 22 years.
(a) Explain why a Poisson probability distribution would be a
good choice for r = number of earthquakes in a given time
interval.
Frequency of earthquakes is a common occurrence. It is
reasonable to assume the events are independent.Frequency of...

Consider the probability that at least 96 out of 152 computers
will not crash in a day. Assume the probability that a given
computer will not crash in a day is 66%. Approximate the
probability using the normal distribution. Round your answer to
four decimal places.

The probability that a wind chill on any given winter day will
result in a wind chill warning is 0.10. Suppose we select three
independent days in winter. What is the probability that at least
one day will have wind chills that result in wind chill
warnings?

The probability that a machine is working on any given day is p
for some 0 < p < 1, and there are eight of them in a
factory.
1. Suppose the factory can operate normally if at least two of
the machines work. Find the probability that the factory operates
normally for a day.
2. Suppose the factory can operate normally if at least seven of
the machines work. Find the probability that the factory operates
normally for two...

Suppose the probability that a library patron checks out a
science fiction book is 0.08.
Question 1: What is the probability that 3 of the next 12
library patrons will sign out a science fiction book? Round your
answer to 4 decimal places.
Question 2: What is the probability that at least one patron
will sign out a science fiction book?
Question 3: What is the probability that none of the next 10
patrons sign out a science fiction book?...

Suppose an assembly line is able to manufacture 3000 chips per
day. The probability that a chip meets the standard is
independently 1/1000. An assembly line is qualified if it is able
to produce at least 3 standard chips per day. (a) Write down the
exact expression of the probability that this assembly line is
qualified if it operates only one day. (b) Write down a relevant
approximate expression for the probability from (a).
Suppose the assembly line company decides...

An archer is able to hit the bull's-eye 58% of the time. If she
shoots 8 arrows, what is the probability that she does not get at
least 4 bull's-eyes? Assume each shot is independent of the others.
Express your answer as a percentage rounded to the nearest
hundredth.

The Weather Channel’s forecasts are
accurate about 75% of the time. Suppose the five-day forecast was
given.
a. What is the probability that the forecast will be correct for
exactly 4 days out of 5?
b. What is the probability that the forecast will be correct for
at least 3 days out of 5?

Suppose the probability that a library patron checks out a love
book is 0.08.
What is the probability that 3 of the next 12 library patrons
will sign out a love book? = 0.0532
What is the probability that at least one patron will
sign out a love book? = ?????????
The answer is NOT 0.5656, 0.6323, 0.08
What is the probability that none of the next 10 patrons sign
out a love book? = 0.4344

Consider the probability that no less than 89 out of 155 computers
will not crash in a day. Assume the probability that a given
computer will not crash in a day is 65%.
Approximate the probability using the normal distribution.
Round your answer to 4 decimal places.

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