A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 88 jobs and a standard deviation of 5. Where do we expect approximately 95% of the distribution to fall? between 73 and 103 jobs per day between 98 and 103 jobs per day between 78 and 98 jobs per day between 83 and 93 jobs per day
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- Suppose that the distribution of Uber rides around the quoted arrival time is normally distributed. Themean waiting time (relative to the quoted time) is 0, with a standard deviation of 3 minutes.a. Using the empirical rule, what percentage of rides arrive within 3 minutes of the mean (3 minutesbefore to 3 minutes after)?b. Graphically depict the area that would need to be calculated to determine the probability ofwaiting more than 4 minutes for a ride. Explain your graph.Question 21 On the average, the amount of money that a customer spends in the store is $40 with a standard deviation $1O. The probability that the total spending of 4 customers in the store is over $170 is closest to 0.1543 0.3085 0.2376 O 0.4013 not able to calculateaaaaaa A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 21 and 30 ounces? Round your answer to four decimal places.
- 1. Suppose the prices of used cars in the market are normally distributed with a mean of $15,000 and a standard deviation of $7,5000. What is the probability of selecting a car from this market and its priced above $20,000.The owner of Tastee Cookies needs to decide whether to lease a small, medium, or large new retail outlet. She estimates that monthly profits will vary with demand for her cookies as follows: SIZE OFOUTLET DEMAND LOW HIGH Small $ 1,000 1,000 Medium 500 2,500 Large 0 3,000 For what range of probability that demand will be high, will she decide to lease the medium facility?Alocal toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 100 toysTimes of the tasks are 273, 2.01, 2.13, 2.0, 2.61, 2.71 and 2.95 minutes for A, B C, D, E , and Grespectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task A does not need any predecessors: task B requires task A to be completed. To start task Deach require task B to be completedTask must be completed prior to stating task E. Task F needs both task D and task E to be completed. Finally, task G can start only once task Fiscompleted.Given we apply the most remaining tasks rule for balancing the assembly line, with broken according to longest task time firstWhat will the estimated idle time in minutes for THIRD workstation?
- 30 A large number of students took a departmental math test 6.5% of students scored 88 or more from the scale of 100. The scores have a bell-shaped distribution with a standard deviation of 8.2 If the minimum score to pass the test is 62 what fraction of the students failed the test? a 0.0488 b 0.0542 c 0.0602 d 0.0719Please help me answer 6-10.#14 Control Charts: Yellowstone National Park Yellowstone Park Medical Services provides emergency health care for park visitors. The average number of visitors treated is 21.7 per day during the summer period. The estimated standard deviation is 4.2 visitors. a. For a 10-day summer period, the following data show the number of visitors treated each day. Day 1 2 3 4 5 6 7 8 9 10 # 25 19 17 15 20 24 30 19 16 23 Make a control chart for the daily number of visitors treated and plot the data on the control chart. Does the data indicate that the number visitors treated is "in Control"? b. For another 10-day summer period, the following data saw obtained. Day 1 2 3 4 5 6 7 8 # 20 15 12 21 24 28 32 36 96 35 10 37 17 Make a control chart for the daily number of visitors treated and plot the data on the control chart. Does the data indicate that the number visitors treated is "in Control"?
- Help me with 11. Please2. The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal probability distribution. The mean yearly amount earned is $40,000 and the standard deviation is $5,000. a. What percent of the sales representatives earn more than $42,000 per year? b. What percent of the sales representatives earn between $32,000 and $42,000? c. What percent of the sales representatives earn between $32,000 and $35,000?The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds. Streaming Videos -36 39 114 189 264 339 414 489 564 Length (Seconds) What percentage of videos on the streaming site are between 39 and 189 seconds? 0.15% 15.85% O 16% 34%