On a work day, mere are two independent buses A and B arriving at a localstation. The arrivals of buses form a Poisson process with rate 20 buses perhour. Among the arrivals. 25% of the buses are Bus A and 75% are Bus B.Bus A takes 16 minutes to get to work and Bus B takes 28 minutes lo get towork, You always take the first bus that arrives. Your co-worker always takesthe first BusA. You both are waiting at the same station.Short justification is required for the following questionsA. Find the rnean time between the arrivals of new buses.B.Find the related processes (N₁ (t) and N₂(t), say) that describe the numberof Bus A and Bus B arrivals during (0, t)C.Find the probability that the first bus enters is Bus A.D.Find the probability that, in the first 15 mins, there is only one Bus Barrival. v vur expected arrival time to work.E.Find your co-worker's expected arrival time to work.

Two independent buses, A and B, arrive at a local station. The arrivals of buses follow a Poisson…

Answered: On a work day, mere are two independent…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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This graph shows data from people from the sub-Saharan area of Africa who have contracted HIV. Outcomes for the patients were recorded as one of 4 mutually possibilities: alive and still in care at the original clinic, alive and still in care after transferring to a new clinic, alive but no longer visiting a clinic, or they’re dead. Keep in mind that this data were collected are from clinical records. Assume that the sample is a random representation of sub-Saharan Africans with HIV. Antiretroviral therapy is used to treat patients. What is the experimental unit? What are the variables (including the types)?
The owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own cup compared to customers who drink coffee. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all espresso purchases and 50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. For coffee purchases, 24 receipts showed the customer used their own cup. Let pEspresso= the true proportion of customers who drink espresso and use their own cup and pcoffee= the true proportion of customers who drink coffee and use their own cup. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Ho: PEspresso - Pcoftee =0 and H, PEspresso - Pcoft < 0? Find the z-table here. 0.30 -0.48 O z .P-value =0.033 (0.39(0.61), (0.39)(0.61) 50 50 0.30-0.48 (0.30)(0.70) , (0.48)(0.52) O z= P-value = 0.033 50 50 0.48 - 0.30…
Certain app allows you to order from different types of cuisine. According with the app's records 23% of the orders are to an American food restaurant, 38% to an Asian food restaurant, 17% to a Mexican food restaurant, 6% to a Dessert place, and the rest are to other types of restaurants. Assume that incoming orders are independent of each other.
A social and personality psychologist thinks that creativity differs by personality traits, rather than the traditional view that it is a cognitive process. Specifically, this psychologist thinks that introverts are more creative than extraverts. The researcher gives a personality test to a group of 16 university students and then separates them based on the assessment results into 2 groups: the extraverts and the introverts. The participants are then asked to write a short story which is rated on creativity by a well-known author. The creativity scores range from 0 to 20 on an interval scale, where higher scores indicate greater creativity. The results are shown in Table 2. Using the 0.05 alpha level, are introverts more creative than extroverts? Use all of the steps of hypothesis testing. extrovert introvert 8 18 7 17 11 10 3 14 5 16 8 15 7 19 4 12
↑ The 1990 census reported that 32% of the households in Middletown were homeowners and the remainder were renters. During the next decade, 10% of the homeowners became rent and the rest continued to be homeowners. Similarly, 14% of the renters became homeowners and the rest continued to rent (A) Fill in the appropriate transition matrix for this process. Homeowners Homeowners Renters Renters AR NE
7. A new drug study was conducted by a drug company. In the study, 10 people were chosen at random to take Vitamin X for 3 months and then have their cholesterol levels checked. In addition, 10 different people were randomly chosen to take Vitamin Y for 3 months and then have their cholesterol levels checked. All 20 people had cholesterol levels between 8 and 10 before taking one of the vitamins. The drug company wanted to see which of the 2 vitamins had the greatest impact on lowering people's cholesterol. The following data was collected: Vitamin X 7.27.5 5.2 6.5 7.7 10 6.47.6 7.77.8 Vitamin Y 4.8 4.44.5 5.1 6.5 8.03.1 4.6 5.2 6.1 (a) Draw a box-and-whisker plot for both sets of data on the same number line. (b) Use the double box-and-whisker plots to compare the 2 vitamins and provide a conclusion for the drug company. (e) State the skewness of both distributions and justify your answer.
A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.
A researcher randomly selected 158 personal vehicles and noted the type of vehicle and its color. The two-way table displays the data. A 5-column table with 4 rows. Column 1 has entries sedan, S U V, convertible, total. Column 2 is labeled Red with entries 14, 9, 20, 43. Column 3 is labeled Blue/Green with entries 31, 19, 6, 56. Column 4 is labeled Black/Gray with entries 22, 34, 3, 59. Column 5 is labeled Total with entries 67, 62, 29, 158. The columns are titled Vehicle color and the rows are titled vehicle type. Suppose a vehicle is randomly selected. Let event C = convertible and R = red. What is the value of P(R|C)? StartFraction 29 Over 158 EndFraction StartFraction 43 Over 158 EndFraction StartFraction 20 Over 43 EndFraction StartFraction 20 Over 29 EndFraction
A market researcher wants to determine whether a new model of a personal computer that had been advertised on a late-night talk show had achieved more brand-name recognition among people who watched the show regularly than among people who did not. After conducting a survey, it was found that 12% of all people both watched the show regularly and could correctly identify the product. Also, 13% of all people regularly watched the show and 39% of all people could correctly identify the product. Define a pair of random variables as shown below. Complete parts (a) through (c). X=1 if regularly watch the show Y=1 if product correctly identified a. Find the joint probability function of X and Y X 0 1 (Do not round.) 0 X=0 otherwise Y=0 otherwise 1 CLLL 2 xdex ram

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