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A large lake is stocked with 5% catfish. You go out on the lake to fish,...
A large lake is stocked with 30% catfish. You go out on the lake to fish,...
A large lake is stocked with 30% catfish. You go out on the lake
to fish, and each fish you catch that is not a catfish is thrown
back into the lake. (Assume that each time you catch a fish, it is
independent of the other fish you have caught.) Let X be the number
of tries it takes until you catch your first catfish.
(a) What is the average (expected) value for X?
(b) What is the probability that...
The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish,...
The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows. Catfish Bass Bluegill Pike 112 91 224 73 In the 5-year interval, did the distribution of fish change at the 0.05 level? (i) State the null and alternate...
8. On vacation, you fish for walleye on Lake Lena, i northern Minnesota, where the length in inch...
8. On vacation, you fish for walleye on Lake Lena, i northern Minnesota, where the length in inches of caught walleye is normally distributed with mean 18 and standard deviation 4. (c) Minnesota law says that you must release all walleye between 12 and 22 inches long. Find the probability that a given fish you catch is legal to keep. (d) You quit for the day as soon as you've caught 5 legal fish. What's the expected number of fish...
A large tank of fish from a hatchery is being delivered to a lake. The hatchery...
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 4inches. A random sample of 39 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
A large tank of fish from a hatchery is being delivered to a lake. The hatchery...
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 7 inches. A random sample of 53 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
A large tank of fish from a hatchery is being delivered to a lake. The hatchery...
A large tank of fish from a hatchery is being delivered to a lake. The hatchery dams that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 46 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.) Need Help?...
Each time a fisherman casts his line, a fish is caught with probability p, independent of...
Each time a fisherman casts his line, a fish is caught with probability p, independent of whether a fish is caught on any other cast of the line. The fisherman will fish all day until a fish is caught and then he will quit and go home. Let Ci denote the event that on cast i the fisherman catches a fish. Draw the tree for this experiment and find P[C1], P[C2], and P[Cn] as functions of p. DO NOT POST...
Problem 6 A lake contains 600 fish, eighty (80) of which have been tagged by scientists....
Problem 6 A lake contains 600 fish, eighty (80) of which have been tagged by scientists. A researcher randomly catches 15 fish from the lake. a. Find a formula for the probability mass function of X, the number of fish in the researcher's sample, which are tagged b. Find the probability that none of the fish he catches are tagged c. What is the number of tagged fish he expects to catch?
Suppose every 10 times you cast your line into a lake you successfully get 3 fish....
Suppose every 10 times you cast your line into a lake you successfully get 3 fish. Assume you cast your line 100 times. a) What is the probability of successfully catching exactly two fish in this experiment? b) Calculate or approximate the probability that the number of fish you catch at least 5.
Please help, Thank You! CHAPTER 11 1. The Fish and Game Department in Wisconsin stocked a...
Please help, Thank You!
CHAPTER 11 1. The Fish and Game Department in Wisconsin stocked a new lake with the following distribution of game fish. After five years a random sample of 225 fish from the lake were netted, identified, and released. The Initial Stocking Distribution and Sample Distribution after 6 years are shown in the following table. The Fish and Game Department want to determine if the sample distribution of fish in the lake after six years fits the...
A large lake is stocked with 30% catfish. You go out on the lake
to fish, and each fish you catch that is not a catfish is thrown
back into the lake. (Assume that each time you catch a fish, it is
independent of the other fish you have caught.) Let X be the number
of tries it takes until you catch your first catfish.
(a) What is the average (expected) value for X?
(b) What is the probability that...
8. On vacation, you fish for walleye on Lake Lena, i northern Minnesota, where the length in inches of caught walleye is normally distributed with mean 18 and standard deviation 4. (c) Minnesota law says that you must release all walleye between 12 and 22 inches long. Find the probability that a given fish you catch is legal to keep. (d) You quit for the day as soon as you've caught 5 legal fish. What's the expected number of fish...
A large tank of fish from a hatchery is being delivered to a lake. The hatchery dams that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 46 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.) Need Help?...
Problem 6 A lake contains 600 fish, eighty (80) of which have been tagged by scientists. A researcher randomly catches 15 fish from the lake. a. Find a formula for the probability mass function of X, the number of fish in the researcher's sample, which are tagged b. Find the probability that none of the fish he catches are tagged c. What is the number of tagged fish he expects to catch?
Please help, Thank You!
CHAPTER 11 1. The Fish and Game Department in Wisconsin stocked a new lake with the following distribution of game fish. After five years a random sample of 225 fish from the lake were netted, identified, and released. The Initial Stocking Distribution and Sample Distribution after 6 years are shown in the following table. The Fish and Game Department want to determine if the sample distribution of fish in the lake after six years fits the...
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