Poisson distribution;;;;

Change issue 16 in portion 4.2 of your substance, including drawing markers from a compartment of markers with ink and markers without ink. Expect that the case contains 19 markers: 14 that contain ink and 5 that don't contain ink. An illustration of 8 markers is picked and a sporadic variable Y is portrayed as the amount of markers picked which don't have ink.

What number of different characteristics are functional for the unpredictable variable Y?

Fill in the table under to complete the probability thickness work. Make certain to list the potential gains of Y in rising solicitation.

The mean timeframe expected to play out a particular task on a mechanical creation framework has been set up at 15.5 minutes. A

subjective illustration of 9 delegates is shown another method. After the planning time span, the typical time these 9 agents

take to play out the endeavor is 13.5 minutes with a standard deviation of 3 minutes. Do these results give satisfactory

evidence to show that the new technique is faster than the old? Use a .05 level of significance. Acknowledge that the events

expected to play out the task are customarily passed on.

300 unclear cathode shaft tubes (CRTs) put into organization

simultaneously on January 1, 1976, experienced the going with amounts of frustrations through December 31, 1988:

Year 1983 1984 1985 1986 1987 1988

Number of frustrations 13 19 16 34 21 38

Acknowledge that there were no mistake before 1983.

a. Taking into account these data, measure the joined scattering work (CDF) of a CRT picked erratically.

Using the delayed consequences of segment (a), check the probability that a CRT picked at

discretionary

b. Continues to go more than 5 years.

c. Continues to go more than 10 years.

d. Continues to go more than 12 years.

e. That has made due for seemingly forever misses the mark in the 11th year of action.

The accomplice dignitary in the institute of business at Tech will purchase another copying machine

+8+

for the school. One model he is contemplating is the Zerox X10. The salesman

has uncovered to him that this model will make a typical of 125,000 copies, with a standard deviation

of 40,000 copies, before isolating. What is the probability that the copier will make

200,000 copies before isolating?..

3. a. Provide mathematical definitions and units of work, K.E., P.E. b. Provide a mathematical definition of torque, and provide its unit in the MKS system of units. c. As is customary, physicists deal mostly with forces and energy. An im- portant part of their studies is to find the speed of objects under various cir- cumstances. Therefore, one of these guys dropped a heavy stone from a height of 35 m. The physicist wants to know how fast this object will be going just before hitting the ground if we are to ignore frictional forces. d. A large segment of the US population visits recreational parks (Kings Do- minion, Busch Gardens, etc.) with their children. In these parks, children are usually thrilled by their rides on a roller coaster. A typical and simple situation is described here. A roller coaster is pushed to the top of a struc- ture by mechanical forces. To be more specific, a roller coaster weighing 768 lb starts from rest at point A in the figure below and begins to coast down the track. If the friction force along the tracks is 1 1.0 lb, how fast will the roller coaster be going at point B? and then at point C?E. The municipality of Aladen plans to develop several new recreational facilities that must be completed with a budget of PhP35 million. A survey was conducted among residents to determine their presences as to the type of facilities they would like to be built. Their preferred facilities with additional information are tabulated in the table below. Facility Construction cost per Hectares People per Annual maintenance facility (PhP, In thousand] needed month cost (Php) Basketball court 300 700 3000 Playground 250 5 1000 6000 Soccer field 75 2 800 3000 Volleyball court 175 3 1200 7000 The municipality has decided that at least 15 facilities will be built and has set aside 55 hectares to be used for the construction. 1. How many facilities for each type should be constructed that maximizes the number of people using the new facilities per month? Write/ type the "mathematical notation" for the goal of this case in the space below. 2. Implement on Excel and solve using Solver. Paste a screen capture of the Excel solution in the space below. Suppose the municipality's budget officer raised the budget implication to maintaining these facilities. Per her computation, the annual maintenance cost of all the new facilities should not exceed P80,000. 3. How many facilities for each type should then be constructed? Write/ type the "mathematical notation" for the revised goal. 4. Implement on Excel and solve using Solver, Paste a screen capture of the Excel solution in the space below.a. Provide mathematical denitions of K..,E P.E. and give their units in the MKS system of units. b. What is conservation of energy? 0. A large segment of the US population Visits recreational parks (Kings Do- minion, Busch Gardens, etc.) with their children. In these parks, children are usually thrilled by their rides on a roller coaster. A typical and simple situation is described here. A roller coaster is pushed A ~ to the top of a structure by mechanical forces. To be more specic, a roller coaster weighing 58.8 N starts from rest at point A in the figure below and be- gins to coast down the track. If the friction force along the tracks is 4.0 N, how fast will the roller coaster be going at point B? and then at point C? lm