4. You point your Geiger counter at a banana, waiting for it to click. You know that the timeyou have to wait is exponentially distributed with rate >= 1Unfortunately, 10% of all Geiger counters have been sabotaged by Big Banana. A sabotagedGeiger counter, when pointed at a banana, will instead click after every 60 seconds to lullyou into complacency.(a) Determine the CDF of the waiting time until your Geiger counter clicks (you do notknow if your Geiger counter has been sabotaged).(b) If you have been waiting for 30 seconds and your Geiger counter still hasn't clicked yet,what is the probability that it has been sabotaged?

ANSWER: (a) The Geiger counter follows an exponential distribution with waiting time λ until it…

Answered: 4. You point your Geiger counter at a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An electroencephalogram (EEG) is a tracing of brain waves recorded by an electroencephalogranh Neurologists have found that the peak EEG frequency in normal children increases with age in Ph. study (reported in Science, 1982), 287 normal children ranging from 2 to 16 years old were instructed to hold a 65-gram weight in the palm of their outstretched hand for a brief but unspecified time The peak EEG frequency (measured in hertz) was then recorded for each child. The children we grouped according to age, and the average peak frequency for each age group was recorded. The data appear in the accompanying table. AVERAGE PEAK EEG FREQUENCY AVERAGE PEAK EEG FREQUENCY AGE AGE х, уеars Y, hertz х, уears y, hertz 5.33 10 7.28 ndling. 3 5.75 11 7.06 4 5.80 12 7.60 5 5.60 13 7.45 6 6.00 14 8.23 7 5.78 15 8.50 8 5.90 16 9.38 9. 6.23 a. Construct a scattergram for the data. b. Find the least squares prediction equation. c. Graph the least squares line on the scattergram. d. Use the least squares…
Internet speeds are a heavily advertised selling point of Internet Service Providers. You notice that although you are paying for a certain speed, the true speed seems to vary depending on where you are in your house. In order to estimate the true average speed you are getting in your house, you go to 13 random spots around your house and record the speed (in MBs per second) shown from a test at 'www.speedtest.net'. You see that the average is 5.61 MB/s with a standard deviation of 1.274 MB/s. You decide to create a 99% confidence interval for the average internet speed in your house. What is the margin of error for this estimate?
Multiple myeloma, or blood plasma cancer is characterized by increased blood vessel formulation (angiogenesis) in the bone marrow that is a predictive factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The data in the table below represent the bone marrow micro-vessel density for patients who had a complete response to the stem cell transplant and at the time the complete response was determined. Patient Before After 1 158 284 2 189 214 3 202 101 4 353 227 5 416 290 6 426 176 7 441 290 Please show work done by hand and/or using Excel formulas, graphing calculator unavailable. At the 0.05 level of significance, is there evidence that the mean bone marrow micro-vessel density is higher before the stem cell transplant than after the stem cell transplant?
Find the probability that the city uses more than 45,000 kWh. Please refer to attached image and thank you
If the duration of a disease is long and the incidence of the disease is low, the prevalence rate of that disease will be similar to the incidence rate of that disease. True False
If the power received at the MU is lognormal with standard deviation of 9dB, the outage probability can be expressed as erfc(x)/2. determine the value of x given the average power received is -97dBm and the threshold power is -101dBm.
The time between failures of our video streaming service follows an exponential distribution with a mean of 40 days. Our servers have been running for 17 days, What is the probability that they will run for at least 97 days? (clarification: run for at least another 80 days given that they have been running 17 days). Report your answer to 3 decimal places.
Suppose that an impending environmental regulation to control that hazard is expected to reduce the risk of premature death from 11/100,000 to 4/100,000 per year in that exposed population of 1.43 million people. If the value of a statistical life is 5 million, what is the maximum value of this regulation (in millions) so that the net benefit is positive?
MARGI sells different types of wine. Customers place orders to the most popular "Summer Wine" at a relatively constant rate. The store buys this wine from WSCO that used to require lead-time of 1.5 weeks. Recently WSCO informed MARGI that its lead-time is increasing by K weeks. MARGI who runs an EOQ policy with cycle service level, realized that because of this increase, its current lead-time standard deviation of the demand is going to double. 1. What would the lead-time mean demand be? Twice as large as the current mean demand. b. Stay the same. c. Larger but more than two times. d. Not enough information to answer. a. 2. Calculate the value of 'K', and show your work.
If the expected return on the market is 8% and the risk for your rate is 4%. What is the expected return for a stock with a beta equal to 2.00?
In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 9090 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000150,000 miles of driving) of the vehicle. NOX ++ NMOG emissions over the useful life for one car model vary Normally with mean 8484 mg/mi and standard deviation 66 mg/mi. (a) What is the probability that a single car of this model emits more than 9090 mg/mi of NOX ++ NMOG? (Enter your answer rounded to four decimal places.) (b) A company has 1616 cars of this model in its fleet. What is the probability that the average NOX ++ NMOG level ?¯x¯ of these cars is above 9090 mg/mi? (Enter your answer rounded to four decimal places.)

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