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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 percentar of fishermen who caught x fish in a 6-hour period while fishing from shore. 4 or more 3 6% 1 43% 35% 15% 1% (a) Convert the percentages to probabilities and make a histogram of the probability distribution. (Select the correct graph.) 0.5 0.4 ২ 0.3 0.2 0.1 3. 4 or more 1 0.5 0.4

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 percentar of fishermen who caught x fish in a 6-hour period while fishing from shore. 4 or more 3 6% 1 43% 35% 15% 1% (a) Convert the percentages to probabilities and make a histogram of the probability distribution. (Select the correct graph.) 0.5 0.4 ২ 0.3 0.2 0.1 3. 4 or more 1 0.5 0.4

MATLAB: An Introduction with Applications
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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**Description of Data and Task:** A particular lake is renowned as one of the best locations to catch a certain type of fish. The table below provides the data for \(x\), which represents the number of fish caught in a 6-hour period while fishing from shore. The percentage data indicate the proportions of fishermen who caught \(x\) fish in this timeframe. | \(x\) | 0 | 1 | 2 | 3 | 4 or more | |---------------|----|----|----|----|-----------| | \(\%\) | 43% | 35% | 15% | 6% | 1% | **Task (a):** Convert the percentages to probabilities and make a histogram of the probability distribution. (Select the correct graph.) **Explanation of Histogram:** The histogram displays the probability distribution of the number of fish caught: - The x-axis represents the number of fish caught (\(x\)), ranging from 0 to 4 or more. - The y-axis shows the probability \(P(X)\). - For \(x = 0\), the probability \(P(0)\) is 0.43. - For \(x = 1\), the probability \(P(1)\) is 0.35. - For \(x = 2\), the probability \(P(2)\) is 0.15. - For \(x = 3\), the probability \(P(3)\) is 0.06. - For \(x = 4\) or more, the probability is 0.01. Each bar in the histogram corresponds to the probability of catching a certain number of fish. Heights of the bars are proportional to the probabilities. The graph visually represents the likelihood of catching different amounts of fish during a 6-hour shore fishing trip.
Transcribed Image Text:**Description of Data and Task:** A particular lake is renowned as one of the best locations to catch a certain type of fish. The table below provides the data for \(x\), which represents the number of fish caught in a 6-hour period while fishing from shore. The percentage data indicate the proportions of fishermen who caught \(x\) fish in this timeframe. | \(x\) | 0 | 1 | 2 | 3 | 4 or more | |---------------|----|----|----|----|-----------| | \(\%\) | 43% | 35% | 15% | 6% | 1% | **Task (a):** Convert the percentages to probabilities and make a histogram of the probability distribution. (Select the correct graph.) **Explanation of Histogram:** The histogram displays the probability distribution of the number of fish caught: - The x-axis represents the number of fish caught (\(x\)), ranging from 0 to 4 or more. - The y-axis shows the probability \(P(X)\). - For \(x = 0\), the probability \(P(0)\) is 0.43. - For \(x = 1\), the probability \(P(1)\) is 0.35. - For \(x = 2\), the probability \(P(2)\) is 0.15. - For \(x = 3\), the probability \(P(3)\) is 0.06. - For \(x = 4\) or more, the probability is 0.01. Each bar in the histogram corresponds to the probability of catching a certain number of fish. Heights of the bars are proportional to the probabilities. The graph visually represents the likelihood of catching different amounts of fish during a 6-hour shore fishing trip.
The image contains a histogram and a series of questions related to probability and statistics, focusing on the number of fish caught by a fisherman during a 6-hour period. ### Graph Explanation - **Histogram Description:** The histogram displays bars for values of \( x \) from 0 to 3, with a final bar for "4 or more." The y-axis represents the probability, with increments of 0.1. Each bar height corresponds to the probability of catching a specific number of fish. ### Questions and Tasks 1. **(b) Probability of Catching One or More Fish:** - Find the probability that a fisherman selected at random catches one or more fish in a 6-hour period. - *Note:* Enter a number rounded to two decimal places. 2. **(c) Probability of Catching Two or More Fish:** - Find the probability that a fisherman selected at random catches two or more fish in a 6-hour period. - *Note:* Enter a number rounded to two decimal places. 3. **(d) Expected Value (\(\mu\)):** - Compute the expected value of the number of fish caught per fisherman in a 6-hour period (for \( x = 4 \) or more, use 4). - *Note:* Enter the answer rounded to two decimal places. 4. **(e) Standard Deviation (\(\sigma\)):** - Compute the standard deviation of the number of fish caught per fisherman in a 6-hour period (for \( x = 4 \) or more, use 4). - *Note:* Enter the answer rounded to three decimal places.
Transcribed Image Text:The image contains a histogram and a series of questions related to probability and statistics, focusing on the number of fish caught by a fisherman during a 6-hour period. ### Graph Explanation - **Histogram Description:** The histogram displays bars for values of \( x \) from 0 to 3, with a final bar for "4 or more." The y-axis represents the probability, with increments of 0.1. Each bar height corresponds to the probability of catching a specific number of fish. ### Questions and Tasks 1. **(b) Probability of Catching One or More Fish:** - Find the probability that a fisherman selected at random catches one or more fish in a 6-hour period. - *Note:* Enter a number rounded to two decimal places. 2. **(c) Probability of Catching Two or More Fish:** - Find the probability that a fisherman selected at random catches two or more fish in a 6-hour period. - *Note:* Enter a number rounded to two decimal places. 3. **(d) Expected Value (\(\mu\)):** - Compute the expected value of the number of fish caught per fisherman in a 6-hour period (for \( x = 4 \) or more, use 4). - *Note:* Enter the answer rounded to two decimal places. 4. **(e) Standard Deviation (\(\sigma\)):** - Compute the standard deviation of the number of fish caught per fisherman in a 6-hour period (for \( x = 4 \) or more, use 4). - *Note:* Enter the answer rounded to three decimal places.
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