The probability that at a filling station one has to wait more than 7 minutes for the service is 0.14. Given the waiting time is exponentially distributed find the probability that we are served in 3 minutes after arrival.
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- Please solve with one t test During the days of coronavirus, people work most of the time from home. Many offices, schools, universities conduct their works, meetings, classes online. As a result of this new normal, it is assumed that on average, utility expenses per family (electricity, water, gas etc.) increases by 40% per month. For the verification of this assumption, four months data of percentage change of utility expenses of 10 families of similar size is given below and answer the following questions, the data is normally distributed: Percentage change of utility expenses April 33.65 37.09 29.72 33.42 38.14 34.9 37.35 38.66 22.92 34.19 May 37.19 36.61 40.35 28.19 35.19 37.43 38.03 42.99 30.22 38.8 June 37.13 36.2 43.6 35.31 33.66 28.51 37.67 20.68 38.04 38.43 July 38.84 32.17 34.9 30.17 29.63 27.14 32.17 33.46 36.72 39.64 Writ//e the null and alternative hypothesis for…The unloading dock at the warehouse of P&S Supermarket has two workers who unload their own assigned truck respecsvely. The inter arval time of trucks is exponential with a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. If a truck arrives and two workers are unloading other trucks, the arriving truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentialy any number of trucks waiting in the ine int You may use the formulas for M/M/2 Queuing Model) What is the average number of trucks in the waiting line? O a. 0.0333 Ob.0.s O. 3 Od.0,1227 Oe. 2.25The Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?
- If the arrival and departure rates in an M/M/1 queue are 1/2 per minute and 2/3 per minute respectively, find the average waiting time of a customer in the queue.An engineer creates a model to predict the electric consumption of a household in summer in a day with a predictor variable of the number of hours the air-conditioner is running. The electric consumption is only at 26 kWh per day if aircon is not used. If the aircon was used by 1 hr, the electric consumption would increase by an additional 1.44 kWh. Find the average electric consumption if the aircon is used 15 hrs.The sum of two positive quantities is equal to 2n. Find the probability that their product is not less than 3/4 times their greatest product.
- The figure below shows the total number P(t) of Covid-19 cases in Minnesota¹ confirmed up to day t, where t = 0 is March 1, 2020. P (total cases) 5000 4000 3000 2000 1000 10 20 30 40 50 60 ¹Smoothed from JHU CSSE COVID-19 data at github.com/CSSEGISandData/COVID-19, accessed March 1, 2021. (a) What are the units of P (t)? OO days confirmed cases days per confirmed case confirmed cases per day t (days) (b) Estimate and compare P (30) and P (50). What does this tell you about the Covid-19 outbreak in Minnesota? P (30)~ i and P (50)~ This tells us thatPlease answer this questionSuppose a system is made up of two components that function independently. The components are connected in parallel. One of the components lifetime in days can be expressed by an exponential distribution with A = 0.1. The second component has a lifetime that can be expressed as a lognormal distribution with u = 2.3 and o = 0.1. What is the reliability of the system at 11 days? .5579 .9454 .4421 .0545
- "Space Mountain", a classic attraction at Disneyland Park, attracts many tourists to take a ride. Each ride can take tourist at a rate of 5 persons/min. The park is opened at 9:00 AM. Based on daily observations, it is found that the tourist arrival rate is 8 persons/min during 9:00 AM - 12:00 PM, 5 persons/min during 12:00 PM - 3:00 PM and 2 persons/min after 3:00 PM. Apply a D/D/1 queuing model to calculate what is the maximum number of tourists waiting in the queue? (Round to the nearest integer and fill in the blank with a number only.) Tourist # 180 D/D/1 360 Time (min) APart 3 only please solve asapThe Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?