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# The University of the South Pacific Faculty of Science, Technology &amp;amp; Environment School of Computing, Information and Mathematical Sciences...

A survey of 50 lobster fishermen found that they can catch an average of 32 pounds of lobster per day with a standard deviation of four pounds.If a fisherman is selected randomly what is the probability that his catch is less than 20 pounds.

The University of the South Pacific Faculty of Science, Technology & Environment School of Computing, Information and Mathematical Sciences MA101: Mathematics for Social Science, Semester 1, 2016 Assignment 2 Question 1 [3 + 8 + 4 = 15 marks] A) Through a mix-up on the production line, 21 defective ovens were shipped out with 29 good ones. If 8 are selected at random, what is the probability that none of them are defective? B) Calculate the mean, median and standard deviation of the given sample data. Scores Frequency 0 – 10 4 10 – 20 8 20 – 30 10 30 – 40 12 40 – 50 6 C) A survey of 50 lobster fishermen on Funafuti (an island in Tuvalu), found that they catch an average of 32 pounds of lobster per day with a standard deviation of four pounds. If a fisherman is selected randomly, what is the probability that his catch is less than 20 pounds? Due Date : 15/05/16, (11.55pm) Total : 40 marks Instructions: 1. Please complete this assignment and upload your solution in the assignment drop box on Moodle before the due date. 2. Write your name, ID and your Campus on the cover page of your assignment. 3. Plagiarized assignment will be awarded a mark of 0.
Question 2 [5 + 5= 10 marks] A) For what values of x is the function     2 1, 0 2 ,0 4 2 12, 4 x h x x x xx  discontinuous? B) Find the derivative of 3 () f x x using the definition of the derivative. Question 3 [7 +8= 15 marks] A) Use implicit differentiation to find dy dx if 12 33 384,000 30 xy . B) A fertilizer producer finds that it can sell its product at a price of 300 px  dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is 2 ( ) 20,000 24 0.5 C x x x . How many units must be manufactured to maximize the profit?  All the Best 

Z = (20-32)/ 4/sqrt(50) = -21.21 ... View the full answer

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• s11036253
• May 05, 2016 at 6:55am
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• srt101100
• May 05, 2016 at 7:00am

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