Question
In: Statistics and Probability
Dr. Frankenstein relies on lightning strikes to power his resurrection machine. Lightning strikes his machine at...
Dr. Frankenstein relies on lightning strikes to power his resurrection machine. Lightning strikes his machine at a fairly consistent rate across all thunderstorms. The average number of strikes during a two-hour storm is 17. Further, each strike is roughly independent; that is, the probability of a strike is unrelated to how recently another strike occurred. If he needs at least seven strikes to generate enough energy to resurrect his monster, but his machine will overload and breakdown if it gets more than ten strikes.
What is the probability that, after a two-hour storm, he will be able to resurrect his monster? Assume that he waits until the storm ends before attempting to run the machine.
Solutions
Expert Solution
Therefore, the probability that after a two-hour storm, he will be able to resurrect his monster = 0.0471 (rounded up to 4 decimal places)
Here , X is a random variable that represents the number of lightning strikes in a 2 - hour storm.
and , X follows Poisson Distribution with parameter 
=17 (the mean)
orchestra answered 2 years agoRelated Solutions
Data suggest that 232 male deaths from lightning strikes and 55 female deaths from lightning strikes...
Data suggest that 232 male deaths from lightning strikes and 55
female deaths from lightning strikes occur, assume that this data
is randomly selected and proceed to construct a 95% confidence
interval estimate of the proportion of males among all lightning
deaths. based on the result does it seem feasible that males and
females have equal chances of being killed by lightning.
and what is the Confidence Interval?
Data suggest that 232 male deaths from lightning strikes and 55 female deaths from lightning strikes...
Data suggest that 232 male deaths from lightning strikes and 55
female deaths from lightning strikes occur, Assume that this data
was randomly selected and proceed to test the claim that the
proportion of male deaths is greater than 50% use 0.01 significance
level
A) Claim, Null hypothesis, Alternative Hypo
B) Solve using the P-value approach
C) solve using the classical approach
D) Summary
It has been proposed that lightning be harvested for energy. Measurements of lightning strikes indicate that...
It has been proposed that lightning be harvested for energy.
Measurements of lightning strikes indicate that they have the
following average properties (note, these are reasonable
approximations):
Potential difference between each end of 100 million V
Current of 30000 A
Time of 1.67E-4 seconds
20 strikes per square kilometer per year in lightning prone
regions of the United States and 200 strikes per square kilometer
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(Congo).
"Lightning collectors" are...
Are Southern and Western states equally prone to fatal lightning strikes? Suppose the number of lightning...
Are Southern and Western states equally prone to fatal lightning
strikes? Suppose the number of lightning strike fatalities over a
5-year period for Southern and Western states are shown as
follows.
Southern
State
Fatalities
AL
5
AR
1
FL
17
GA
7
KY
5
LA
5
MS
4
NC
3
OK
2
SC
4
TN
0
TX
9
VA
0
Western
State
Fatalities
AZ
6
CA
1
ID
2
MT
2
NM
2
NV
0
OR
2
UT
3
WA...
Are Southern and Western states equally prone to fatal lightning strikes? Suppose the number of lightning...
Are Southern and Western states equally prone to fatal lightning
strikes? Suppose the number of lightning strike fatalities over a
5-year period for Southern and Western states are shown as
follows.
Southern
State
Fatalities
AL
5
AR
2
FL
17
GA
7
KY
5
LA
5
MS
1
NC
3
OK
4
SC
1
TN
0
TX
8
VA
0
Western
State
Fatalities
AZ
9
CA
2
ID
4
MT
4
NM
4
NV
0
OR
4
UT
3
WA...
A lightning bolt strikes one end of a steel lightning rod, producing a 14700-A current burst...
A lightning bolt strikes one end of a steel lightning rod,
producing a 14700-A current burst that lasts for 63 μs.
The rod is 2.2 mm long and 2.3 cm in diameter, and its other end is
connected to the ground by 30 mm of 7.8-mm-diameter copper
wire.
A.) Find the potential difference between the top of the steel
rod and the lower end of the copper wire during the current
burst.
B.) Find the total energy deposited in the...
A lightning bolt strikes one end of a steel lightning rod, producing a 15300-A current burst...
A lightning bolt strikes one end of a steel lightning rod,
producing a 15300-A current burst that lasts for 67 μs .
The rod is 2.5 m long and 2.3 cm in diameter, and its other end is
connected to the ground by 38 m of 8.5-mm-diameter copper wire.
A) Find the potential difference
between the top of the steel rod and the lower end of the copper
wire during the current burst.
Express your answer using two significant figures....
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QUESTION 16
The uncertainty in earnings due to misconduct by employees,
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events is referred to as:
A) Capital risk
B) Liquidity risk
C) Operational risk
D) Interest rate risk
5 points
QUESTION 17
The following are reasons that bank mergers do not work,
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Assume the company’s tax rate is 24 percent.
Debt:
24,000 7.3 percent coupon bonds outstanding, $1,000 par value,
18 years to maturity, selling for 107 percent of par; the bonds
make semiannual payments.
Common stock:
570,000 shares outstanding, selling for $75 per share; beta is
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Preferred stock:
25,500 shares of 5.1 percent preferred stock outstanding,
currently selling for $96 per share. The par value is $100 per
share.
Market:...
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