Question
In: Statistics and Probability
A fishing lake camp boasts that about 30% of the guests catch lake trout over 20...
A fishing lake camp boasts that about 30% of the guests catch lake trout over 20 pounds on a 4-day fishing trip. Let n be a random variable that represents the first trip to the camp on which a guest catches a lake trout over 20 pounds.
(a) Write out a formula for the probability distribution of the
random variable n.
P(n) =
(b) Find the probability that a guest catches a lake trout weighing
at least 20 pounds for the first time on trip number 3.
(Round your answer to three decimal places.)
(c) Find the probability that it takes more than three trips for a
guest to catch a lake trout weighing at least 20 pounds. (Round
your answer to three decimal places.)
(d) What is the expected number of fishing trips that must be taken
to catch the first lake trout over 20 pounds? Hint: Use
μ for the geometric distribution and round. (Round your
answer to two decimal places.)
( ) trips
Solutions
orchestra answered 1 year agoRelated Solutions
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike...
In a fishing lodge brochure, the lodge advertises that 75% of
its guests catch northern pike over 20 pounds. Suppose that last
summer 58 out of a random sample of 79 guests did, in fact, catch
northern pike weighing over 20 pounds. Does this indicate that the
population proportion of guests who catch pike over 20 pounds is
different from 75% (either higher or lower)? Use α =
0.05.
(a) What is the level of significance?
State the null and...
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike...
In a fishing lodge brochure, the lodge advertises that 75% of
its guests catch northern pike over 20 pounds. Suppose that last
summer 58 out of a random sample of 87 guests did, in fact, catch
northern pike weighing over 20 pounds. Does this indicate that the
population proportion of guests who catch pike over 20 pounds is
different from 75% (either higher or lower)? Use α = 0.05.
(a) What is the level of significance?
(b) What is the...
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike...
In a fishing lodge brochure, the lodge advertises that 75% of
its guests catch northern pike over 20 pounds. Suppose that last
summer 65 out of a random sample of 88 guests did, in fact, catch
northern pike weighing over 20 pounds. Does this indicate that the
population proportion of guests who catch pike over 20 pounds is
different from 75% (either higher or lower)? Use α = 0.05. (a) What
is the level of significance? State the null and...
Suppose you go fishing one weekend. Let X be the number of trout you catch on...
Suppose you go fishing one weekend. Let X be the number of trout
you catch on Saturday and let Y be the number of trout you catch on
Sunday. Suppose X and Y are independent Poisson distributed
variables with the same λ. Consider a hypothesis test with the
nullλ = 0.5 and the alternative λ > 0.5. Suppose you catch 2
fish, carry out the hypothesis test at α = 0.05 by calculating the
p-value. Note: I recognize we did...
On February 12, 2005, Nancy Trout and Delores Lake formed Kingfisher Corporation to sell fishing tackle....
On February 12, 2005, Nancy Trout and Delores Lake formed
Kingfisher Corporation to sell fishing tackle. Pertinent
information regarding Kingfisher is summarized as follows.
Kingfisher's business address is 1717 Main Street, Ely, MN 55731;
its telephone number is (218) 555-2211; and its e-mail address is
[email protected]. The employer identification number is
11-1111111, and the principal business activity code is 451110.
Nancy owns 50% of the common stock and is president of the company,
and Delores owns 50% of the common...
Otto is considering flying his hot air balloon over a lake, yet he is concerned about...
Otto is considering flying his hot air balloon over a lake, yet
he is concerned about his safety.
The hot air balloon has three independent burners, any one of
which is sufficient to keep the balloon aloft. Otto knows that the
probability that any individual burner will fail during this voyage
is equal to .02.
Otto is only willing to go on this voyage if the probability
that all three burners fail is less than .0000001.
Imagine that Otto asks...
About 30% of all human tumors involve cells expressing mutated Ras oncogenes. Additionally, about 20% of...
About 30% of all human tumors involve cells expressing mutated
Ras oncogenes. Additionally, about 20% of the human tumors involve
cells with defective PTEN, a phosphatase that convert PIP3 into
PIP2. Based on your knowledge of signal transduction pathways,
explain the relationship of these mutated genes with tumor cell
proliferation.
In 2004, Congress allocated over $20 billion to fight illegal drugs. About 60 percent of the...
In 2004, Congress allocated over $20 billion to fight illegal
drugs. About 60 percent of the funds were directed at reducing the
supply of drugs through domestic law enforcement and interdiction.
Some critics of this approach argue that supply-side approaches to
reduce the drug supply actually helped drug producers.
Demonstrate graphically the effect of supply-side measures on
the market for illegal drugs.
Explain how these measures affect drug producers. (Hint:
Consider the elasticity of demand).
Demonstrate the effect of demand-side...
5. The number of publicly listed firms has decreased by about half over the last 20...
5. The number of publicly listed firms has decreased by about
half over the last 20 years even though the market capitalization
of these firms is up more than 20x. Additionally, the 30 largest
firms now account for about half of all public company earnings; in
other words, firms are getting much bigger. Why has the number of
public companies decreased so much? Are firms just getting bigger
or are more companies staying private? Why might a firm wish to...
The number of publicly listed firms has decreased by about half over the last 20 years...
The number of publicly listed firms has decreased by about half
over the last 20 years even though the market capitalization of
these firms is up more than 20x. Additionally, the 30 largest firms
now account for about half of all public company earnings; in other
words, firms are getting much bigger. Why has the number of public
companies decreased so much? Are firms just getting bigger or are
more companies staying private? Why might a firm wish to stay...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Boarder line and antisocial disorder are perhaps the most research personality disorder.What are the most common...
- Read at least 2 academically reviewed articles and Write an annotated bibliography paper on Master Budgeting
- Why normalization and referential integrity are important principles when designing relational databases?
- Respond to the following in a minimum of 175 words: Discuss what elements should be present...
- 1) The 3rd bright fringe of a double slit interference pattern is 30.0 cm above the...
- A solar cell generates a potential difference of 0.320 V when a 445.0 ? resistor is...
- A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the...
ADVERTISEMENT