Question

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

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 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

Homework Answers

Answer #1

Solution:-

(b) P(X >= 1) = P(1) + P(2) + P(3) + P(4)
= 0.37+ 0.14 + 0.06 + 0.01
= 0.58

(c) P(X >= 2) = P(2) + P(3) + P(4)
= 0.14 + 0.06 + 0.01
= 0.21

(d) μ = 0.87

  
(e) σ = 0.9344 = 0.934 (rounded)

  

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