4. The number of times a first-year college student calls home during the week is a...
The number of medical emergency calls per hour has a Poisson distribution with parameter λ. Calls received at different hours are considered to be independent. Emergency calls X1 ,…, Xn for n consecutive hours has the same parameter λ. a) What is the distribution of Sn = ∑ Xi ? b) Provide Normal approximation for the distribution of Sn . c) Provide maximum likelihood estimation of λ. Calculate variance and bias of MLE. d) Calculate Fisher information and efficiency of...
A company services home air conditioners. It is know that times for service calls follow a normal distribution with a mean of 60 minutes and a standard deviation of 10 minutes. d) Find the shortest range of times that includes 50% of all service calls. e) A random sample of four service calls is taken. what is the probability that exactly two of them take more than 65 minutes? Thank you!
3. Assume that X is the number of large earthquakes (with magnitude 2 7.5) occurring in each year. A statistician suggested that X follows a Poisson distribution with parameter ?. A Poisson distribution with parameter ? has expectation ? and variance ?. Suppose a data set 1,22,.,^n is the realization of a random sample Xi,..., Xn from this distribution. One can use either ? 1-X, or ?2-1 ?21 (Xi-%)2 to estimate the parameter ?. (a) Find Eli21 (b) Are both...
8.186 The number N(t) of phone calls arriving at a switchboard during the first t minutes time that elapses between when you start your stopwatch and when the nth phone call arrives. after you start your stopwatch has a Poisson distribution with parameter 3.8t. Let W be the a) On average, how many phone calls arrive during the first t minutes? b) If it is known that Wi > t, what can be said about N(t)? Similarly, what would Wit...
Can you solve Question 4.1.3 with details? This is from Advanced Statistics. 236 Some Statistical Inferences the histogram. Use the R function dganna(X, 8hape. 1,scale-のto evaluate the plf. (c) Obtain the sample median of the data, which is an estimate of the median lifetime of a motor. What parameter is it estimating Le., determine the nedian of x)? (d) Based oa the mle, what is another estimate of the median of X? .1.2. Here are the weights of 26 professional...
Using the book, write another paragraph or two: write 170 words: Q: Compare the assumptions of physician-centered and collaborative communication. How is the caregiver’s role different in each model? How is the patient’s role different? Answer: Physical-centered communication involves the specialists taking control of the conversation. They decide on the topics of discussion and when to end the process. The patient responds to the issues raised by the caregiver and acts accordingly. On the other hand, Collaborative communication involves a...