A particular lake is known to be one of the best places to catch a certain type of fish. In this table, \( x \) represents the number of fish caught in a 6-hour period while fishing from shore. The percentage data reflects the proportions of fishermen who caught \( x \) fish in this time frame.| \( x \) | 0 | 1 | 2 | 3 | 4 or more ||-----------------|-----|-----|-----|-----|-----------|| \% | 43% | 35% | 15% | 6% | 1% |(a) Convert the percentages to probabilities and create a histogram of the probability distribution. (Select the correct graph.)**Explanation:** To convert the percentages to probabilities, divide each percentage by 100. The probabilities for catching \( x \) fish in a 6-hour period are:- Probability of catching 0 fish: 0.43- Probability of catching 1 fish: 0.35- Probability of catching 2 fish: 0.15- Probability of catching 3 fish: 0.06- Probability of catching 4 or more fish: 0.01**Histogram Description:**The histogram should have the number of fish caught (\( x \)) on the x-axis and the probability on the y-axis. Each bar represents the probability of catching a specific number of fish:- The first bar (0 fish) reaches up to 0.43.- The second bar (1 fish) reaches up to 0.35.- The third bar (2 fish) reaches up to 0.15.- The fourth bar (3 fish) reaches up to 0.06.- The last bar (4 or more fish) reaches up to 0.01.The histogram provides a visual representation of the probability distribution of catching fish in a 6-hour period. (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

Formulae : Expected value : μ = ∑xP(x) Standard deviation : σ =∑(x-μ)2P(x)

Answered: A particular lake is known to be one of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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