Homework Answers
calculate the parameter w=1.333
calculate the height of f(x) at x=0 2.22
mode=8hours
calculate the probability that the time lag excess 42 minutes=0.7 hours
calculate the probability that the leg is less than 60 minutes = 1
clculate the probabilty that the time is between 36 minutes and 42 minutes 0.5
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The elite runners in an ultra-marathon will cross the finish line at random times described by...
2.[34] During an ultra-marathon, 20 runners cross the finish line between 11 am and 5 pm...
2.[34] During an ultra-marathon, 20 runners cross the finish line between 11 am and 5 pm on race day, The number of competitors that finish at any given time during that period can be approximated using the Poisson distribution a) Suppose a photographer who is taking photos as runners finish the race wants to take a 20-minute break. What is the probability that she will miss at least one athlete finishing? [8] What is the expected number of runners who...
11. The finish times for marathon runners during a race are normally distributed with a mean...
11. The finish times for marathon runners during a race are normally distributed with a mean of 195 minutes and a standard deviation of 25 minutes. a) What is the probability that a runner will complete the marathon within 3 hours? b) Calculate to the nearest minute the tine by which the first 8% runners have completed the marathon c) What proportion of the runners will complete the marathon between 3 hours and 4 hours?
World class marathon runners are known to run that distance (26.2 miles) in an average of...
World class marathon runners are known to run that distance (26.2 miles) in an average of 144 minutes with a standard deviation of 15 minutes. If we sampled a group of world class runners from a particular race, find the probability of the following: **(use 4 decimal places)** a.) The probability that one runner chosen at random finishes the race in less than 138 minutes. b.) The probability that 10 runners chosen at random have an average finish time of...
World class marathon runners are known to run that distance (26.2 miles) in an average of...
World class marathon runners are known to run that distance (26.2 miles) in an average of 146 minutes with a standard deviation of 14 minutes. If we sampled a group of world class runners from a particular race, find the probability of the following: **(use 4 decimal places)** a.) The probability that one runner chosen at random finishes the race in less than 140 minutes. b.) The probability that 10 runners chosen at random have an average finish time of...
DJ NU VUJU 5. In Brooklyn half marathon, the finish time is approximately normally distributed with...
DJ NU VUJU 5. In Brooklyn half marathon, the finish time is approximately normally distributed with a mean of 190 minutes and a standard deviation of 23 minutes. If Jim fail to win 80% of runners in Brooklyn half marathon, what is the finish time that Jim complete this race? 6. The General Electric claims that 100-watt light bulbs have normal distribution with a mean of 750 hours and a standard deviation of 60 hours. Find the probability that the...
1) Consider the following distribution and random numbers: Demand Frequency 0.15 0.30 0.25 0.15 0...
1) Consider the following distribution and random numbers: Demand Frequency 0.15 0.30 0.25 0.15 0.15 Random Numbers; 62 13 25 40 0 4 What four demand values would be developed from the random numbers listed? 2) Given the following random number ranges and the following random number sequence: 62, 13, 40, 86, 93, determine the expected average demand for the following distribution of demand. Random Demand Number Ranges 00-14 15-44 45-69 70-84 85-99 Answer:_ The number of cars arriving at...
2.[34] During an ultra-marathon, 20 runners cross the finish line between 11 am and 5 pm on race day, The number of competitors that finish at any given time during that period can be approximated using the Poisson distribution a) Suppose a photographer who is taking photos as runners finish the race wants to take a 20-minute break. What is the probability that she will miss at least one athlete finishing? [8] What is the expected number of runners who...
11. The finish times for marathon runners during a race are normally distributed with a mean of 195 minutes and a standard deviation of 25 minutes. a) What is the probability that a runner will complete the marathon within 3 hours? b) Calculate to the nearest minute the tine by which the first 8% runners have completed the marathon c) What proportion of the runners will complete the marathon between 3 hours and 4 hours?
DJ NU VUJU 5. In Brooklyn half marathon, the finish time is approximately normally distributed with a mean of 190 minutes and a standard deviation of 23 minutes. If Jim fail to win 80% of runners in Brooklyn half marathon, what is the finish time that Jim complete this race? 6. The General Electric claims that 100-watt light bulbs have normal distribution with a mean of 750 hours and a standard deviation of 60 hours. Find the probability that the...
1) Consider the following distribution and random numbers: Demand Frequency 0.15 0.30 0.25 0.15 0.15 Random Numbers; 62 13 25 40 0 4 What four demand values would be developed from the random numbers listed? 2) Given the following random number ranges and the following random number sequence: 62, 13, 40, 86, 93, determine the expected average demand for the following distribution of demand. Random Demand Number Ranges 00-14 15-44 45-69 70-84 85-99 Answer:_ The number of cars arriving at...
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