Question 1: Let X ~ beta(a, 1). Find the distribution of - log(X). Hint: Use the fact that I'(a+1) al(a)
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Q: (2) Here are grades collected from freshmen and sophomores I А В С D 10 16 20 6. 13 14 33 31 29 44…
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A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…
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Q: High power experimental engines are being developed by the Stevens Molor Company for use in its new…
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Q: B. Find the length of the confidence interval given the following data: 1. o = 0.3, n = 45,…
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Q: Consider the following confusion matrix Predicted Class Actual Class 1 1 255 173 52 291 Based on…
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Q: The next seven questions refer to the following scenario: A random sample of 16 Porsche drivers…
A: Level of significance ɑ=0.05, n1=n2=16, s12=9, s22=25 Right tailed hypothesis
Q: Let E be the event where the sum of two rolled dice is divisible by 6. List the outcomes in E^c.
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Q: Answer: What is the null distribution of the test statistic? Select one O a. AT distribution with 35…
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Q: C. Find the length of the confidence interval given the following data: 1.s = 4.5, n = 20,…
A: Here use formula of length of confidence interval
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .
- Suppose X has a lognormal distribution with parameters mu = 1.5 and sigma = 0.2 . Find the 33rd percentile?The random variable is said to follow the distribution ofBenford’s Law if P(X=i)=log10(1+i)/i find P(X<= j) ?If X has the exponential distribution given by f(x) =0.5 e−0.5x, x > 0, find the probability that x > 1.
- The lifetime (in hours ) of a semiconductor laser has a lognormal distribution with theta = 10 and omega = 1.5 Determine the following in parts (a) and (b): a) Probability the lifetime is less than 1000 hours ? b) Probability the lifetime is less than 11000 hours given that it is more than 10000 hours?1. Let X have a gamma distribution with α > 1. Show thatE [1/X] = 1/[θ*(α −1)]