2. 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?
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- 53. The annual demand for Prizdol, a prescription drugmanufactured and marketed by the NuFeel Company,is normally distributed with mean 50,000 and standarddeviation 12,000. Assume that demand during each ofthe next 10 years is an independent random numberfrom this distribution. NuFeel needs to determine howlarge a Prizdol plant to build to maximize its expectedprofit over the next 10 years. If the company builds aplant that can produce x units of Prizdol per year, it willcost $16 for each of these x units. NuFeel will produceonly the amount demanded each year, and each unit ofPrizdol produced will sell for $3.70. Each unit of Prizdol produced incurs a variable production cost of $0.20.It costs $0.40 per year to operate a unit of capacity.a. Among the capacity levels of 30,000, 35,000,40,000, 45,000, 50,000, 55,000, and 60,000 unitsper year, which level maximizes expected profit?Use simulation to answer this question.b. Using the capacity from your answer to part a,NuFeel can be 95%…themepans i max Task 3: During the last 10 years, a corporation's net profit increased year over year 6 times and decreased year over babive969 with characteristicsmber of annual earnings increases for the next 10 years is modelled in 4 times. Assume that the accordance with quote of the binomial distribution. Estimate the probability that the corporation's net profit will increase in exactly 4 of the next 10 years. tot twee monteutimut ethomi smo bsd-.2.U A :clesT Diswiot brs toqe ert tuods noitsmotnleysb 08 ni utimut to insmqinle 6 101 000,000,83 vsqof ever lliw 2.0 woled nevig ai 29161 (AU3 8.0 ataoo 020) 008.0 02U AU3 eer.o 020 A03 9161 toqe tre etsi biswiot ysb-08Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?
- 5. What is the variance of the probability distribution? A. 6.67 В. 4 C. 3.46 D. 2.58#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"?The data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.
- 32. DETAILS Prompt 0/1 Submissions Used 2-D. What is the standard deviation (in whole minutes) for the above flight? O 6400 23 533 12 80 25 O 24 Submit Answer MY NOTES Quantas Airlines quotes a flight time of 20 hours, 15 minutes for its flight from New York (JFK), USA to Sydney (SYD), Australia. Suppose that the actual flight time is uniformly distributed between 19 hours 35 minutes and 20 hours 55 minutes. ASK YOUR TEACHERQ3/ The probability that a consumer will rate a new antipollution device for cars What are the probabilities that it will rate the device (a) very poor, poor, fair, or good; (b) good, very good, or excellent? Rate Poor Fair Very good Excellent Very poor Good Probability 0.07 0.12 0.17 0.32 0.21 0.11The weekly salary paid to employees of a small company that supplies part-time laborers averages s800 with a standard deviation of $500. (a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) If every employee receives a 5% salary increase for the next year, how does the normal model change? (d) If the lowest salary is $300 and the meltian salary is $550, does a normal model appear appropriate?
- 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 calculateThe frequency of breakdown of a machine per month is shown in the table. The cost ofa breakdown is $1,000 and the cost of preventive maintenance is $1,250 per month. Ifpreventive maintenance is performed, the probability of a machine breakdown is negligible. Should the manager use preventive maintenance, or would it be cheaper to repair themachine when it breaks down?Number of breakdowns 0 1 2 3Frequency of occurrence .20 .30 .40 .10The 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%