(Computation) Estimate the probability p of teen recidivism based on a study inwhich there were n = 43 individuals released from incarceration and y = 15 re-offenderswithin 36 months. You can use either the exact solution or approximation throughMonte Carlo simulation. The Monte Carlo simulation can also be done in Stan.(a) Using a Beta(2, 8) prior for p, plot the prior (p) as functions of p.(b) Drive the posterior distribution and plot the posterior (p | y) as functions of p.(c) Find the posterior mean and standard deviation of p.(d) Find a 95% quantile-based credible interval.(Computation) Repeat Exercise 1, but using a Beta(8, 2) prior for p.

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Answered: e were n = 43 individuals released from…

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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q5-
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 188 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.61 cm, y = 81.52 kg, r=0.271, P-value=0.006, and y = -103 +1.18x. Find the best predicted value of ŷ (weight) given an adult male who is 155 cm tall. Use a 0.10 significance level. The best predicted value of y for an adult male who is 155 cm tall is (Round to two decimal places as needed.) kg.
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 23.8. You would like to be 98% confident that your estimate is within 2.5 of the true population mean. How large of a sample size is required? Do not round mid-calculation. However, you are encouraged to use a critical value accurate to three decimal places – this is important for the system to be able to give hints for incorrect answers.
In a tri-variate distribution: o1 = 3 o2 = 4 03 = 5 r23= 0.4 r31=0.6 r12=0.7 determine the regression of x1 on x2 and x3 if the variates are measured from their mean
Q5: The theory that resistance by mosquitoes to an insecticide is due to a single dominant gene has been examined. Homozygous resistant mosquitoes were crossed with homozygous susceptible mosquitoes to give A heterozygous population. These were crossed to the homozygous susceptible population. Of this back cross progeny 465 were exposed to the insecticide, 264 died. Is the percentage killed significantly different to the percentage predicted by the model?
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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 137 to 189 cm and weights of 37 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.50 cm, y =81.41 kg, r=0.232, P-value = 0.020, and y = - 109 + 1.17x. Find the best predicted value of y (weight) given an adult male who is 145 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 145 cm tall is kg. (Round to two decimal places as needed.)
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 137 to 192 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.80 cm, y = 81.45 kg, r=0.211, P-value = 0.035, and y = -103 +1.07x. Find the best predicted value of ŷ (weight) given an adult male who is 145 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 145 cm tall is (Round to two decimal places as needed.) kg.
Find the two-tailed U-table value when n1 = 5, n2 = 6, and alpha = 0.05.
Researchers analyze a new portable radiocarbon dating machine and determine that the machine will correctly predict the age of an archaeological object within established tolerances 70% of the time. The machine's inventor wants to test this claim, believing that her machine correctly predicts age at a greater rate. Let p represent the proportion of times that the new portable radiocarbon dating machine correctly determines the age of an archaeological object to within the established tolerances. The inventor's null and alternative hypotheses are as follows. Но : р 0.70 На : р> 0.70 The inventor takes a random sample of n = 100 archaeological objects for which the age is already known and uses her machine to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)
interpret the short-run elasticity and long-run elasticies.

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