A company advertise their products on Instagram. The number of times their advertise- ments are clicked on follows a Poisson distribution with a rate of 18 clicks per minute. (iii) Calculate the probability that more than 10 seconds pass without anybodyclicking on the advertisements?(iv) Calculate the expected value and the variance of the waiting time (in minutes)between two consecutive clicks on the advertisements?

A random variable X is said to follow Poisson distribution, if it has the pmf of the form,…

Answered: (iii) Calculate the probability that…

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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What is the Fratio for these data?
You set up a series of cameras along the Mexican border. The rate of appearances of Jaguars is 4/18 years. Your cameras also produce pictures of wolf-sized canids, either wolves or coy-wolves in the same region. Each year your cameras catch about 400 of these animals, about 60 cougars and about 700 bears and 1200 feral hogs. Assume that these numbers are all population rates for Poisson. Given your cameras catch a non human large animal (and the above list is all of them): i. What is the probability it is a jaguar? (Hint: Animals are independent. This is asking the conditional probability of a jaguar, given you see an animal) ii. What is the probability it is a feral hog? iii. Out of 25 large nonhuman animals, what is the probability that 15 or more are feral hogs? (Hint N=25, P is fixed, independent trials) iv. Out of 180 large non human animals what is the probability that between 100 and 170 are feral hogs?
A researcher measures GPA and height for a group of high school students. What kind of correlation is likely to be obtained for these two variables?
Summarize the definitions for linear correlation, quadratic correlations and exponential correlations. Provide an example graph of each of the types of correlation along with your summarized definitions.
If you have 10 variables when computing correlation coefficients how many unique coefficients will you have overall?
Answer the following questions using the separate rates X1,..., X20 and Y1,..., Y20 shown in Figure 1. (a) Carry out the calculations for a test of the hypotheses that the mean U.S. mortality rate On remained the same or increased from 2005 to 2015 against the alternative that the mean mortality rate decreased. State the hypotheses, test statistic, rejection region, and p-value. Do not interpret the conclusion of the test. (b) Compute a 99% confidence interval for the change in mean heart rate mortality. Do not interpret the interval.
In a 430-page manuscript, there are 270 randomly distributed misprints. Use the Poison approximation. Find the mean number 2 of misprints per page. Round to one decimal place as needed.
A healthcare provider monitors the number of CAT scans perfomed each month in each of its clinics. The most recent year of data for a particular clinics follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan): 2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97, 2.02. Find a two-sided 95% confidence interval for the standard deviation. What should you do to address any reservations about this confidence interval? Round your answers to two decimal places (e.g. 98.76).
Arbor Systems and Gencore stocks both have a volatility of 44%. Compute the volatility of a portfolio with 50% invested in each stock if the correlation between the stocks is 0.00. If the correlation is 0.00, the volatility of the portfolio is%. (Round to one decimal place.)
Serial correlation, also known as autocorrelation, describes the extent to which the result in one period of a time series is related to the result in the next period. A time series with high serial correlation is said to be very predictable from one period to the next. If the serial correlation is low (or near zero), the time series is considered to be much less predictable. For more information about serial correlation, see the book Ibbotson SBBI published by Morningstar. A research veterinarian at a major university has developed a new vaccine to protect horses from West Nile virus. An important question is: How predictable is the buildup of antibodies in the horse's blood after the vaccination is given? A large random sample of horses were given the vaccination. The average antibody buildup factor (as determined from blood samples) was measured each week after the vaccination for 8 weeks. Results are shown in the following time series. Original Time Series Week Buildup Factor 2 3 4…
2. Edit the randomfund script to reflect your revised model and run it 600 times. Include a printout of your revised function.
Create a scatter diagram for this correlation with time on social networking sites along the x axis

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(iii) Calculate the probability that more than 10 seconds pass without anybody clicking on the advertisements? (iv) Calculate the expected value and the variance of the waiting time (in minutes) between two consecutive clicks on the advertisements?