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 % 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

Homework Answers

Answer #1

Outcome (x) Probability P(x) x*P(x)
0 0.43 0
1 0.35 0.35
2 0.15 0.3
3 0.06 0.18
4 or more 0.01 0.04
0.87

Outcome (x) Probability P(x) x*P(x) x2*P(x)
0 0.43 0 0
1 0.35 0.35 0.35
2 0.15 0.3 0.6
3 0.06 0.18 0.54
4 or more 0.01 0.04 0.16
0.87 1.65

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