Question

Movie stars and U.S. presidents have fished Pyramid Lake. It is
one of the best places in the lower 48 states to catch trophy
cutthroat trout. 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 |

% | 44% | 35% | 14% | 6% | 1% |

(a) Convert the percentages to probabilities and make a histogram of the probability distribution.

(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* =

(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 two decimal places.)

*σ* =

Answer #1

B)

Probabality that a fisherman selected at random fishing from shore catches one or more fish in a 6 hour period

= P(x = 1) + P(x = 2) + p(x = 3) + p( x >= 4)

= 0.35 + 0.14 + 0.06 + 0.01

= 0.56

C)

Probabality that a fisherman selected at random fishing from shore catches two or more fish in a 6 hour period

= P(x = 2). + P(x = 3) + p(x >= 4)

= 0.14 + 0.06 + 0.01

= 0.21

D)

Expected value = μ

= x p(x)

= 0 x 0.44 + 1x 0.35 + 2 x 0.14 + 3 x 0.06 + 4 x 0.01

= 0.85

E)

Variance =Σ[x^2 * p(x)] - μ^2

= [0^2 x 0.44 +1^2 x 0.35 +2^2 x 0.14 +3^2 x 0.06 +4^2 x 0.01]- 0.85^2

= 1.61 - 0.7225

= 0.8875

Standard deviation = √(variance)

= √0.8875

= 0.94

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)
Convert the percentages to probabilities and make a histogram of
the probability distribution....

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)
Convert the percentages to probabilities and make a histogram of
the probability distribution....

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....

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
%
45%
36%
13%
5%
1%
(d) Compute μ, the expected value of the number of fish
caught per fisherman...

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%

The Blue Wild Fish Company sells a particular species of fish
that live in a local lake. In the entire lake the distribution of
fish lengths follows a normal distribution with mean 34 inches and
standard deviation 10.2 inches. You have 5 attempts for numeric
answers and 1 attempt for multiple choice answers. Round answers to
2 decimal places. 1. Sketch the population distribution of all fish
in the lake and label the bottom axes of the normal distribution
for...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 7 minutes ago

asked 55 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago