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# The probability that a group of people contains at least one person with an iq in the top goes

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assignment is 80%. If he finishes the first assignment, the probability that he finishes the 2nd assignment is 40%. If he does not finish the first assignment, the probability that he finishes the 2nd assignment is 70%. Find the probability that he finishes at least one assignment. Include a modified probability tree diagram with your answer. Round to two decimal places.
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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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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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of the quiz is 15 minutes. Topics for the quiz are: Probability Revision, Dynamic Programming, Markov Process, Markov Chain Properties, Hidden Markov Model, Undirected Graphical Method. I am trying to send all the study materials, but file size is large and it isn't allowing me to send. Please message me for further details regarding study materials so that I will share them with you and you can have a look.
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rd deviation of 3.2 hours. A sample of 35 high school seniors is selected. Find the following values, if possible. Please round your answers to four decimal places. If you should not find a probability, please write NA for your answer. What is the probability that the sample mean studying time is between 4 and 5 hours? What is the probability that the sample mean studying time is less than 6 hours? What is the probability that the sample mean studying time is more than 8.5 hours?
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nd three of them are broken. Two glasses are chosen at random from the box. Calculate the probability that (1) both glasses are broken, (2) none of the glasses are broken (3) both glasses are broken or one of the glasses is broken
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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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