Question

In: Statistics and Probability

Ocean fishing for bill fish is very popular in the Cozumel region of Mexico. In the...

Ocean fishing for bill fish is very popular in the Cozumel region of Mexico. In the Cozumel region about 45% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 29 strikes. Find the following probabilities. (Round your answers to four decimal places.)

(a) 12 or fewer fish were caught

(b) 5 or more fish were caught

(c) between 5 and 12 fish were caught

Expert Solution

Given

n = total number of strikes = 29

p = probability of strikes resulted in a catch = probability of success = 45% = 0.45

x = number of fish caught = number of success

we can find the probability using binomial probability formula and is given by

a)

where, ( Correct upto 4 decimal place )

Now

=

Therefore, the probability that 12 or fewer fish were caught is 0.4213

b)

Therefore, the probability that 5 or more fish were caught is 0.9996

c)

where

and

Now

= 0.4196 +0.0013

= 0.4209

Therefore, the probability that between 5 and 12 fish were caught is 0.4209

orchestra answered 1 year ago

The size of fish is very important to commercial fishing. A study conducted in 2012 found...

The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. rv X = the length of a randomly selected Atlantic cod Correct b) Find the probability that...

Consider the following items: a fish fillet served at a restaurant fish in the ocean exotic...

Consider the following items: a fish fillet served at a restaurant fish in the ocean exotic fish in a huge aquarium in a privately-owned building an almost empty free-access garbage dumpster that contains a discarded fish Which of these items is the best example of the club good? Which of these items is the best example of a public good? Briefly explain your choice(s).

Since Wakanda has no access to the ocean, fish is a rare commodity there. Fish can...

Since Wakanda has no access to the ocean, fish is a rare commodity there. Fish can be produced by either fishing it from the lake (wild catch), or faming from the ponds. The quality of fish caught in the like is equal to farm-raised fish. However, the productivity of workers in the ponds is always 2 fishes per hour. The productivity of fishermen depends on how many fisherman are currently fishing: if there is just one fisherman on the lake,...

A fish hatchery manager estimates that on average fisherpersons catch 3.5 fish each fishing trip. A...

A fish hatchery manager estimates that on average fisherpersons catch 3.5 fish each fishing trip. A random sample of 10 fisherpersons showed they caught 3.9 fish per trip, with a standard deviation of 1.7 fish. Perform a test of hypothesis at a .10 alpha level to determine whether or not her claim is true. Use a two tailed test of hypothesis

Since Wakanda has no access to ocean, fish is a rare commodity there.

Since Wakanda has no access to ocean, fish is a rare commodity there. Fish can be produced by either fishing it from the lake (wild catch), or faming from the ponds. The quality of fish caught in the like is equal to farm-raised fish. However, the productivity of workers in the ponds is always 2 fishes per hour. The productivity of fishermen depends on how many fisherman are currently fishing: if there is just one fisherman on the lake, his productivity...

The GDP of country A is entirely based on fishing, but the quantity of fish varies...

The GDP of country A is entirely based on fishing, but the quantity of fish varies considerably from year to year. If the ocean’s streams are favorable, the GDP is $250 billion, if it is unfavorable, the GDP is $90 billion. Country’s A society is risk-averse with square-root utility, and the probability of getting a good year is 0.5 a) What is country A’s society expected utility for the coming year? b) What amount of certain GDP would yield the...

To study the effect of overfishing in the Indian ocean investigators compared fishing areas in north...

To study the effect of overfishing in the Indian ocean investigators compared fishing areas in north that had never been overfished (Group 1) with similar areas nearby that had been overfished 1 year earlier (Group 2) and 8 years earlier (Group 3). Assume plots are randomly selected. The variable “Fishes” is the count of fish in an area. Using the data below decide whether the average number of fish differ among areas? 1 22 1 29 1 21 1 19...

To study the effect of overfishing in the Indian ocean researchers compared fishing areas in north...

To study the effect of overfishing in the Indian ocean researchers compared fishing areas in north that had never been overfished (Group 1) with similar areas nearby that had been overfished 1 year earlier (Group 2) and 8 years earlier (Group 3). Assume plots are randomly selected. The variable “Fishes” is the count of fish in an area. Using the data below perform a post hoc analysis and discuss conclusion 1 29 1 21 1 19 1 33 1 16...

Ocean Fishers Ltd had a 22-foot fishing boat with an inboard motor that was purchased on...

Ocean Fishers Ltd had a 22-foot fishing boat with an inboard motor that was purchased on April 9, 2009, for $99,000. The PPE Sub ledger shows the following information regarding the boat: Fishing Boat – 22 Foot With Inboard Motor: Component Date of Purchase Deprec. Method Cost Est. Residual Est.Life Fibreglass body Apr. 9/09 SL $ 33,000 $ 6,000 15 yr Motor Apr. 9/09 SL 66,000 -0- 10 yr $ 99,000 On June 27, 2017, $72,000 cash was paid for...

A population of capelin, a small forage fish, in the Arctic ocean displays two types of...

A population of capelin, a small forage fish, in the Arctic ocean displays two types of colors, black and olive green. In capelin, olive-green is dominant to black. A marine biologist notices changes in the Arctic population after some capelin from a North Atlantic population migrated to the Arctic ocean. Before the migration event, the allele frequency of the black color allele was 0.34 in the Arctic population. After the migration event, the frequency was 0.38. The marine biologist was...