a) Customers of TechOps Investment bank were presented with two options. Option one, use the automated...

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a) Customers of TechOps Investment bank were presented with two options. Option one, use the automated online investment system to purchase stocks. Option two, use the investment banker to purchase stocks. The company wants to reduce the number of investment bankers employed and is assessing the utilization of the online facility. The probability that customers will use the automated online system is 0.48. What is the probability that of twelve customers purchasing stocks, 5 will use the automated online system? (5 Marks) b) Phone Specialist Limited recently commissioned a new manufacturing machine. The team assessing the machine's performance noted that the number of cellular phones produced in a day followed a normal distribution with a mean of 4,000 and a standard deviation of 1500. i) What is the probability that on a randomly chosen day, the machine will produce less than 1000 cellar phones in a day? (5 Marks) ii) What is the probability that on a randomly chosen day, the machine will produce more than 5000 cellar phones in a day? (5 Marks) iii) What is the probability that on a randomly chosen day, the machine will produce between 600 and 6.500 cellar phones in a day? (5 Marks) c) Passengers arrive at the bus stop at an average rate of five per minute. If the distribution of arrivals is Poisson, find the probability that in any given minute, there will be two or fewer arrivals? (5 Marks) a) Customers of TechOps Investment bank were presented with two options. Option one, use the automated online investment system to purchase stocks. Option two, use the investment banker to purchase stocks. The company wants to reduce the number of investment bankers employed and is assessing the utilization of the online facility. The probability that customers will use the automated online system is 0.48. What is the probability that of twelve customers purchasing stocks, 5 will use the automated online system? (5 Marks) b) Phone Specialist Limited recently commissioned a new manufacturing machine. The team assessing the machine's performance noted that the number of cellular phones produced in a day followed a normal distribution with a mean of 4,000 and a standard deviation of 1500. i) What is the probability that on a randomly chosen day, the machine will produce less than 1000 cellar phones in a day? (5 Marks) ii) What is the probability that on a randomly chosen day, the machine will produce more than 5000 cellar phones in a day? (5 Marks) iii) What is the probability that on a randomly chosen day, the machine will produce between 600 and 6.500 cellar phones in a day? (5 Marks) c) Passengers arrive at the bus stop at an average rate of five per minute. If the distribution of arrivals is Poisson, find the probability that in any given minute, there will be two or fewer arrivals? (5 Marks)

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a Let X number of customers out of 12 that will use the automated online system ... View the full answer