Question

A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.

x 0 =45% 1 = 43% 2=15% 3= 5% 4 or more = 1%

(a) Convert the percentages to probabilities and make a histogram of the probability distribution. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.)

(c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Round your answer to two decimal places.) (d) Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Round your answer to two decimal places.) μ = fish (e) Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Round your answer to three decimal places.) σ = fish

Answer #1

A particular lake is known to be one of the best places to catch
a certain type of fish. In this table, x = number of fish caught in
a 6-hour period. The percentage data are the percentages of
fishermen who caught x fish in a 6-hour period while
fishing from shore.
x
0
1
2
3
4 or more
%
42%
37%
14%
6%
1%
(b) Find the probability that a fisherman selected at random
fishing from shore catches...

A particular lake is known to be one of the best places to catch
a certain type of fish. In this table, x = number of fish
caught in a 6-hour period. The percentage data are the percentages
of fishermen who caught x fish in a 6-hour period while
fishing from shore.
x
0
1
2
3
4 or more
%
42%
37%
14%
6%
1%
(b) Find the probability that a fisherman selected at random
fishing from shore catches...

A particular lake is known to be one of the best places to catch
a certain type of fish. In this table, x = number of fish
caught in a 6-hour period. The percentage data are the percentages
of fishermen who caught x fish in a 6-hour period while
fishing from shore.
x
0
1
2
3
4 or more
%
43%
35%
15%
6%
1%

A particular lake is known to be one of the best places to catch
a certain type of fish. In this table, x = number of fish
caught in a 6-hour period. The percentage data are the percentages
of fishermen who caught x fish in a 6-hour period while
fishing from shore.
x
0
1
2
3
4 or more
%
43%
36%
15%
5%
1%

There are 40 fish in a lake and 10 fishermen who catch fish.
There are two days allowed for fishing, and after the first day,
whatever fish remain in the lake will double in number. The options
are to fish "lightly" and catch 2 fish or fish "intensively" and
catch 4 fish. On the first day, each fisherman gets 2 or 4 fish,
based on this choice. On the second day, the available fish are
split evenly among all fishermen....

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The
lake is famous for cutthroat trout. Suppose a friend tells you that
the average length of trout caught in Pyramid Lake is μ = 19
inches. However, a survey reported that of a random sample of 51
fish caught, the mean length was x = 18.6 inches, with estimated
standard deviation s = 3.0 inches. Do these data indicate that the
average length of a trout caught in Pyramid...

When a fisherman catches a fish (either young or adult), it is a
young one with a probability of 0.39 and it is returned to the
water. On the other hand, an adult fish is kept to be eaten later.
(Round your answers to four decimal places.)
Suppose that the fisherman wants three fish to eat for lunch.
If the fisherman catches eight fish, what is the probability
that there are sufficient fish for lunch?

A fisherman is interested in whether the distribution of fish
caught in Green Valley Lake is the same as the distribution of fish
caught in Echo Lake. Of the 192 randomly selected fish caught in
Green Valley Lake, 107 were rainbow trout, 24 were other trout, 34
were bass, and 27 were catfish. Of the 292 randomly selected fish
caught in Echo Lake, 117 were rainbow trout, 56 were other trout,
69 were bass, and 50 were catfish. Perform a...

The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ=7 inches and σ=1.7 inches.
(a) Is X a discrete or continuous random variable? (Type:
DISCRETE or CONTINUOUS)
ANSWER:
(b) Write the event ''a fish chosen has a length equal to 4
inches'' in terms of X: .
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was
greater than 8.5 inches: .
(e) Find the...

A sociologist is interested in the relation between x = number
of job changes and y = annual salary (in thousands of dollars) for
people living in the Nashville area. A random sample of 10 people
employed in Nashville provided the following information. x (number
of job changes) 7 4 5 6 1 5 9 10 10 3 y (Salary in $1000) 38 32 34
32 32 38 43 37 40 33 Σx = 60; Σy = 359; Σx2 =...

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