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- Once an individual has been infected with a certain disease, let X represent the time (days) that elapses before the individual becomes infectious. An article proposes a Weibull distribution with a = 2.6, B = 1.8, and y = 0.5. [Hint: The two-parameter Weibull distribution can be generalized by introducing a third parameter y, called a threshold or location parameter: replace x in the equation below, a -x« – le-(x/B)ª Ba x 2 0 f(x; а, B) %3D x y.] (a) Calculate P(1 1.5). (Round your answer to four decimal places.) 0.8050 (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.980 |× days (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) 1.594 х days mean standard deviation 0.585 X daysThe data in the accompanying table are from a national vital statistics report. Entries in the tables are the birth rates (births per 1,000 of population) for a certain year. State Births State Births Alabama 14.0 Missouri 13.6 Alaska 16.4 Montana 13.0 Arizona 16.4 Nebraska 15.4 Arkansas 14.7 Nevada 16.3 California 15.5 New Hampshire 10.8 Colorado 14.7 New Jersey 13.1 Connecticut 11.6 New Mexico 15.5 Delaware 14.3 New York 13.3 District of Columbia 15.3 North Carolina 14.5 Florida 13.3 North Dakota 13.8 Georgia 15.6 Ohio 13.4 Hawaii 14.6 Oklahoma 15.4 Idaho 16.9 Oregon 13.4 Illinois 14.3 Pennsylvania 12.3 Indiana 14.4 Rhode Island 11.9 Iowa 13.9 South Carolina 14.2 Kansas 15.3 South Dakota 15.1 Kentucky 14.0 Tennessee 14.3 Louisiana 15.1 Texas 17.3 Maine 10.9 Utah 20.8 Maryland 13.6 Vermont 10.5 Massachusetts 12.3 Virginia 14.3 Michigan 12.1 Washington 13.8 Minnesota 14.4 West Virginia 12.3 Mississippi 15.6 Wisconsin 13.0 Wyoming 15.3Chapter 6, Section 2-D, Exercise 078 Is a t-Distribution Appropriate?A sample with size n=75 has x¯=18.92, and s=10.1. The dotplot for this sample is given below. Indicate whether or not it is appropriate to use the t-distribution. If it is appropriate, give the degrees of freedom for the t-distribution and give the estimated standard error. If it is not appropriate, enter -1 in both of the answer fields below.Enter the exact answer for the degrees of freedom and round your answer for the standard error to two decimal places.df= standard error =
- Suppose that monthly income follows a normal distribution with mu=$4.400 and sigma=$1,600 A government agency wants to provide free health care for all individuals who fall below a specific monthly income level but does not want to award this benefit to more than 33% of the population What is the income catoff for this proposed benefit where no more than 33% of the population will qualify (in other words , will fall below this level of income ?1. i Now consider the M/M/1 queue with arrival rate λ and service rate µ and explain how it can be modelled as a birth death model. ii. For the M/M/1 queue derive the form of pn, the equilibrium distribution of the number of customers present, and give any conditions needed to ensure the existence of the equilibrium distribution. Derive the mean value of the equilibrium distribution1a) Derive a maximum-liklihood estimator for the unknown parameter Y 1b) An experienced sales person completes sales following a Poisson distribution, with a mean rate of Y = 1.8 sales/month. A junior sales person completes sales at a mean rate of Y = 0.85 sales per month Find the probability of the joint sales team (experienced and junior) completing exactly 2 sales in any given months, assuming the two sales people act independently of each other. 1c) Find the probability of the joint sales team (experienced and junior) completing more than 2 sales in any given months
- Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)Suppose model (XY, XZ, YZ) holds in a 2 x 2 x 2 table, and the common XY conditional log odds ratio at the two levels of Z is positive If the XY and YZ conditional log odds ratios are both positive or both negative, show that the XY marginal odds ratio is larger than the XY conditional odds ratio.2 If X₁ and X₂ are the means of independent ran- dom samples of sizes n₁ and n₂ from a normal population with the mean u and the variance o2, show that the vari- ance of the unbiased estimator 2 w X₁ + (1-w). X₂ is a minimum when @ = n1 n₁ + n₂ idnu
- 18. Show that for type lII population - x/0 dp O23. Find the cumulant generating function of gamma distribution and obtain various cumulants.If data show that a particular exercise has a strong negative correlation with an individual's resting heart rate, then a) the amount of this exercise has little effect on resting heart rate b) the resting heart rate decreases as the amount of this exercise increases c) the resting heart rate decreases in exact proportion to the increase in the amount of this exercise d) the resting heart rate increases as the amount of this exercise increases A В D NONESEE MORE QUESTIONS