Question Solved1 Answer 4. While watching a game of Champions League football in a cafe, you observe someone who is clearly supporting Manchester United in the game. What is the probability that they were actually born within 25 miles of Manchester? Assume that: the probability that a randomly selected person in a typical local bar environment is born within 25 miles of Manchester is 2, and; • the chance that a person born within 25 miles of Manchester actually supports United is to: • the probability that a person not born within 25 miles of Manchester supports United with to hochobility

Q.8: X is a geometric random variable, If P(S) = P: (1) What is the probability that n = 7? (11) Draw a schematic illustrating how the underlying experiment works. (111) Write out the probabilistic distribution which best agrees with this type of a random variable. (IV) What would be a feasible definition of a random variable that best meets the criterion Q.8: X is a geometric random variable, If P(S) = P: (1) What is the probability that n = 7? (11) Draw a schematic illustrating how the underlying experiment works. (111) Write out the probabilistic distribution which best agrees with this type of a random variable. (IV) What would be a feasible definition of a random variable that best meets the criterion for a geometric random variable?

A Tim Horton's has recently opened up in Edmonton. It is observed that, on any given morning, the time it takes for a car to be served after ordering in the drive-thru follows a normal distribution with = 8 minutes and a = 2.5 minutes. (a) What is the probability that it takes less than 5.5 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.) (b) What is the probability that it takes more than 70 minutes for a randomly selected car to be served after ordering? (Round your answer to four decimal places, if needed.) Find the area under the standard normal distribution represented by each probability. (Round your answers to 4 decimal places.) (a) PIZ < -0.56) (b) P(Z > 1.07): (c) P(0.51 < Z < 1.6): (d) PIZ = 1,87): Check

Blue Spruce Corp. has decided to expand its operations. The bookkeeper recently completed the following statement of financial position in order to obtain additional funds for expansion:obligation is considered a long-term liability. (List Current Assets in order of liquidity. List Property, Plant and Equipment in order of Buildings, and Equipment.)

(15 points): Consider (again) the complex function G: C+C defined by 8 +2 G(8) 32 +63 + 18 (a) By hand, draw a pole-zero map of G (i.e., in the complex plane, draw a "o" to indicate points where G evaluates to zero and an "x" to indicate points where the magnitude of G tends to infinity).

The problem is Customers arrive at a tool crib according to a Poisson process of rate $\lambda = 5$ per hour. There is a single tool crib employee, and the individual service times are exponentially distributed with a mean service time of 10 minutes. In the long run, what is the probability that two or more workers are at the tool crib being served or waiting to be served? It is given that $\lambda = 5$, and I believe that $\mu = 6$ customers per hour. Then, I think the answer is $$1-\frac{1}{6}-\frac{1}{6}\left(\frac{5}{6}\right)-\frac{1}{6}\left(\frac{5}{6}\right)^2 = \frac{125}{216}.$$ However, the answer in the back is $\frac{25}{36}$. I was wondering what I did wrong. Or is the answer in the back wrong? Thanks.

26. EMPLOYEE POPULATION BASE In a large metropolitan area, 81% of the employed population is enrolled in a health maintenance organization (HMO). If 700,650 employees are enrolled, find the total number of people in the employed population. 28. VOTER REGISTRATION Registered Republican voters make up 13.8% of the population of one county, If there are 345,000 registered Republican voters in the county, find the total population in the county 30. DRIVING TESTS In analyzing the success of driver's license applicants, the state finds that Sa 3% of those examined received a passing mark. If the records show that 8370 new driver's licenses were issued, what was the number of applicants? Round to the nearest whole number 32. FAMILY SIZE One survey among college students found that 28.4% grew up in a home with two or more siblings and 44.7% grew up in a home with one sibling. If 194 students grew up in a home with no siblings, find the size of the survey group 34. HIRING Apple, Inc. recently announced that it will be hiring 5000 employees. If this is about 4.3% of the current workforce, estimate the number of people who work for Apple. 36. SMOKING OR NONSMOKING A casino hotel in Barbados states that 70% of its rooms are for nonsmokers. If the resort allows smoking in 264 rooms, find the total number of rooms. 22. JOB CUTS One Carrier Corporation factory builds air conditioning systems for commercial buildings. Sales are traditionally low as summer draws to an end and the manager decides he must lay off 80 of the 760 employees working on the assembly lines. Find the percent of workers that will be laid off. 24. VOCABULARY There are 55,000-plus words in Webster's Dictionary, but most educated people can identify only 20,000 of these words. What percent of the words in the diction-ary can these people identify 26. TANNING SALON Only 250 of Thai Beach's 1100 customers tan regularly. Find the per cent that tan regularly 28. MOTORCYCLISTS Of the 2380 motorcycle riders that participated in a recent bike rally through the California mountains, 2041 were men. Find the percent who were men. 30. WIND ENERGY In the early 1980s, wind-generated electricity cost about 30 cents per kilo-watt hour. Today, the best wind systems can produce electricity for 2 cents per kilowatt hour Find today's cost as a percent of the cost in the 1980s. p104 4,6 4. GLOBAL WARMING Periodically, 50% or more of all species of animals have gone extinct in a relatively short period of time. Many scientists believe we are entering such a period now as Earth warms. In fact, one scientist predicts that as many as 5 million out of the estimated 8.7 million species on Earth will disappear by 2100. Find the percent that may go extinct 6. LIGHTS OUT There are still 88,000 households in the United States that do not have electricity. If this is 08% of the homes, find the total number of households.