1. A particular lake is known to be one of the best places to catch...

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 %35 %15 %6 %1%

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

(b) 

Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Enter a number. 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. (Enter a number. 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). (Enter a number. 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). (Enter a number. Round your answer to three decimal places.) 

σ = 

 fish

2.

Compute C_5,3. (Enter an exact number.)