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The probability of an event a occurring in each of a series of independent trials is find the probability

 
 

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1.3. The university is studying how to project its expenses and revenues regarding the staffing of an MBA course. The ...

MBA course. The university knows that the probability of a student completing the course successfully is 80%. We take a random sample of 4, independent students. a. What is the probability exactly 0 students complete the course? b. What is the probability exactly 1 student complete the course? c. What is the probability exactly 2 students complete the course? d. What is the probability exactly 3 students complete the course? e. What is the probability 3 or (all) 4 of the students complete the course? f. What is the expected number of students (out of the 4 sampled) that complete the course? g. What is the standard deviation of the number of students that complete the course?
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2.(1) The claim by a weight loss Company is that on average, the client will lose 10 pounds over ...

first 2 weeks. 50 people who joined the programme are sampled, their weight loss is 9 pounds with a standard deviation of 2.8 pounds. Can we conclude at the .05 level that a person joining the programme will lose less than 10 pounds? (2) The following is a random sample of 90-day futures prices in dollars for 1 troy oz. of silver from The Wall Street Journal issues in May and June of 1997: 4.74, 4.77, 4.87, 4.91, 4.83, 4.72, 4.92, 4.86, 4.97, 4.71, 4.90, 4.93, 4.75, 4.88, 4.79, 4.83, 4.89. Required: a. Calculate the mean b. Median c. Standard deviation of the 90-day future price of silver data (3) A mining company needs to estimate the average amount of copper ore per ton mined. A random sample of 50 tons gives a sample mean of 146,75 pounds. The population standard deviation is assumed to be 35.2 pounds. Required: a. Give a 95% confidence interval for the average amount of copper in the population of tons mined. b. Give a 90% confidence interval for the average amount of coper per ton c. Give a 99% confidence interval for the average amount of coper per ton (4) An e-commerce Website gets 2,385 visitors on a particular day. Among these, 1790 visitors explore the products by looking at more pages at the site. Among these 1790 visitors who explore the products, 387 make a purchase. Required: a. If a visitor chosen at random from all those who visited the site, what is the probability that the visitor explored the products b. If a visitor is chosen at random from all those who visited the site, what is the probability that the visitor made a purchase. c. If a visitor is chosen at random from all those who explored the products, what is the probability that the visitor made a purchase. d. Which of the preceding three probabilities is relevant to the design of the home page that leads to product page.
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3.A biologist is testing a large number of 5ml samples of sea water to estimate the occurrence of a particular ...

particular micro-organism. She finds that 62% of the samples have at least one micro-organism present. Assuming the micro- organisms are randomly occurring, with an average rate of occurrence, a) estimate k, the average number of micro-organisms per sample. b) what is the probability that in the combined sea water of three samples (15ml) she finds more than 2 micro-organisms?
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4.A single, standard, six-sided die is to be rolled. What is the probability of rolling an 8? When selecting one card from ...

When selecting one card from a standard deck, what is the probability of selecting a Jack AND a Club? An urn contains 10 red balls, 6 green balls, 15 orange balls, and 14 blue balls. If one ball is randomly drawn from the urn, what are the odds against the ball being green? The odds against an event are 7 to 1. Find the probability that the event will occur? The probability of an event is 7/10. Find the odds against that event.
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5.Using a sample of SAT scores (n = 5000) with an average score of 600 and a standard deviation of ...

, determine the probability that a randomly selected score will be between a 450 and 700.
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6.Problem 9.C The probability a player makes a free throw in home game is 65%, independently of everything else. The probability a ...

thing else. The probability a player makes a free throw in an away game is 50%, independently of everything else. Half of the games are home games. What is the probability that when the player throws two free throws she will make both? Assuming the player makes the first free throw, what is the probability she will make the second? Are the two events independent? Assuming that the player made both free throws, what is the probability it was a home game?
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7.It is estimated that during any one hour period, an average of 10 Internet users visit the website of Sport-Equip Ltd, ...

of Sport-Equip Ltd, a company that sells sports equipment. Some of the users who visit the website end up buying sports equipment from the website while others are simply browsing in order to obtain product information. (a) Clearly explain and justify which probability distribution you would use to describe the number of Internet users who visit the website of Sport-Equip Ltd in a one hour period. [There is no need to calculate any probabilities for this part of the question] (5 marks) (b) What is the probability that during any half-hour period, there will be less than 3 visitors to the website? (5 marks) (c) What is the probability that during any two-hour period, there will be more than 15 visitors to the website? (5 marks) (d) If a user has just visited the website, find the probability that the website will have another visitor within the next 10 minutes. In your answer, state the probability distribution you have used and explain your choice. (4 marks) (e) It is estimated that 40% of Internet users who visit Sport-Equip Ltd’s website buy a product from the company. If 100 users visit the website over a given period of time, find the probability that more than 50 of them will buy a product from the company. In your answer, state the probability distribution you have used and explain your choice
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics