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8. [46.25 Points] BBBASICSTATSACC 6.1.013.MI.S. ASK YOUR TEACHER A particular lake is known to be one of the best places to catch a certain type

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8. [46.25 Points] BBBASICSTATSACC 6.1.013.MI.S. ASK YOUR TEACHER A particular lake is known to be one of the best places to catch a certain type of sh. In this table, x = number of sh caught in a 6-hour period. The percentage data are the percentages of shermen who caught x sh in a 6-hour period while fishing from shore. 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.) 0 1 2 3 4 or more 0 1 2 3 4 or more O 0.3 P(X) 0.2 0.1 0 N 3 4 or more X O 0.5 0.4 0.3 P(X) 0.2 0.1 0 1 2 3 4 or more X O (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 , 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.) M = fish (e) Compute o, 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.) 0 = fish

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