The number of requests for assistance received by a towing service is a Poisson process with rate a = 4 per hour. (a) Compute the probability that exactly thirteen requests are received during particular 2-hour period. (Round your answer to three decimal places.) (b) If the operators of the towing service take a 30 min break for lunch, what is the probability that they do not miss any calls for assistance? (Round your answer to three decimal places.) (c) How many calls would you expect during their break? You may need to use the appropriate table in the Appendix of Tables to answer this question.

The number of requests for assistance received by a towing service is a Poisson process with rate a = 4 per hour. (a) Compute the probability that exactly ten requests are received during a particular 2-hour period. (Round your answer to three decimal places.) (b) If the operators of the towing service take a 30 min break for lunch, what is the probability that they do not miss any calls for assistance? (Round your answer to three decimal places.) (c) How many calls would you expect during their break? You may need to use the appropriate table in the Appendix of Tables to answer this question.

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A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour.   It takes an average of 2 minutes to answer a question.   It is assumed that arrivals are Poisson and answer times are exponentially distributed.   What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.

Question 2: You are appointed as a quality engineer in a telecommunication company. Your manager asks you to enhance the company quality of service, by increasing the success rate for customers to get hold of tech support representatives. Assume that customers will call three times is an attempt to ask for tech support then give up. You want to make sure that you are able to serve at least 97% of the people who ask for tech support. Let p be the probability that a caller get hold of a tech support representative. What is the minimum value of p necessary to meet your goal?

Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like?         a. The area in the right tail of the standard normal curve.   b. The area not including the right tail of the standard normal curve.…

Thank you. I'm not sure about the result for the second question. What I'm having a hard time with is the probability that a total of 30 of the 546 crashes have occurred in the 48 time windows. My data shows that crashes occurred in 25 of these 48 time windows, with 3 in one of these and 2 in three others.

Question 26 Renee buys a bag of cookies that contains 5 chocolate chip cookies, 7 peanut butter cookies, 5 sugar cookies, and 5 oatmeal cookies. What is the probability that Renee reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects a sugar cookie? Round your answer to four decimal places.

Answer question 2 parts A,B and C . Math statistics