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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Please do part b)
A five years Business Informatics student studying at TU Wien does some temporary substitute work on the banking sector every 31 days on average, and this time follows an exponential distribution. After acquiring one of these works, its duration is also aleatoric, exponentially distributed and its mean duration is 60 daysThe money earned depends on the total number of days worked in each contract, paid at $100 daily. For unemployment periods, the student has taken out an insurance for which $50 is paid for each day on the dole. Build a queuing model to establish the mean annual income (1 year = 365 days) that the student earns. (Hint: single server, finite customer population of 1.)
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?
Please show clear and complete solution! 30 Minutes left Thank you!
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.
Climate change and CO2 2011 Data collected fromaround the globe show that the earth is getting warmer.The most common theory relates climate change to anincrease in atmospheric levels of carbon dioxide (CO2),a greenhouse gas. The mean annual CO2 concentration inthe atmosphere (parts per million) is measured at the top of Mauna Loa in Hawaii, away from any local contami-nants. (Available at ftp://ftp.cmdl.noaa.gov/ccg/co2/ trends/co2_annmean_mlo.tx)The mean surface air temperature is recorded as thechange in °C relative to a base period of 1951 to 1980.(Available at data.giss.nasa.gov/gistemp/graphs_v3/)Here are a scatterplot and regression for the years from1959 to 2011:Dependent variable is TempR-squared = 82.3%s = 0.0985 with 53 - 2 = 51 degrees of freedomVariable Coefficient SE(Coeff) t-Ratio P-ValueIntercept -2.98861 0.2086 -14.3 ...0.0001CO2 0.0092 0.0006 15.4 ...0.0001a) Write the equation of the regression line.b) Is there evidence of an association between CO2 leveland global…
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.
A doctor studies which type of coronavirus vaccine is best effective.he buys 5 types of vaccines and observes one week from 8am t0 11am ,he measures the pulse rate of each person on of the 10 vacciens Identify the study 1 observational study 2 controlled experiment 3 stratified experiment 4 paired data experiemtn

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