Homework Answers
For each year, we are given here that:
Therefore for any 1 year, probability that there was exactly one blanket is computed here as:
Number of years out of 25 year period, during which there was exactly one blanket could be modelled here as:
The variance of N here is computed as:
Var(N) = np(1-p) = 25*0.1494*(1 - 0.1494) = 3.1763
Therefore 3.1763 is the required variance here.
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Can someone help me solving this? B6. A study is conducted in a class of 360 students investigating the problem of screen cracking in mobile phones. We assume that a) the number of screen cracking eve...
Can someone help me solving
this?
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STA 2171 HW3 Page 3 of 12 2. We know under certain conditions that the Normal...
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Conditional expectation. Question 2 (10.0 marks) Previous 1 2 Validate Mark Unfocus Help ndependently or the Suppose the number o calls attempte per hour to a telephone exchange has Posso tributio...
Conditional expectation.
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P7 continuous random variable X has the probability density function fx(x) = 2/9 if P.5 The...
P7
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Please solve on only PART 2 b)
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As on the previous page, let Xi,...,Xn be i.i.d. with pdf where >0 2 points possible...
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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...
Can someone help me solving
this?
B6. A study is conducted in a class of 360 students investigating the problem of screen cracking in mobile phones. We assume that a) the number of screen cracking events follows a Poisson distributiorn and that b) the expected rate of screen cracking is 1 in 3 per phone per year. i) Write down the formula for the probability mass function of a Poisson random variable withh 3 marks parameter X, stating also the...
STA 2171 HW3 Page 3 of 12 2. We know under certain conditions that the Normal distribution approximates the Bino- mial distribution. But the Normal distribution approximates another important discrete distribution: the Poisson distribution. The Poisson distribution is a one-parameter distribution frequently used to model the number of events that occur over a specified time period. For example, if we are interested in the modeling the number of babies born in a particular hospital during one day, then we might...
Conditional expectation.
Question 2 (10.0 marks) Previous 1 2 Validate Mark Unfocus Help ndependently or the Suppose the number o calls attempte per hour to a telephone exchange has Posso tribution with mean Suppose there is only 80% chance that an attempted call is connected a other calls connected. Let X be the number of calls that are connected in an hour. We ask you to find the mean and variance of X. In reality, this is mainly a theory...
P7
continuous random variable X has the probability density function fx(x) = 2/9 if P.5 The absolutely continuous random 0<r<3 and 0 elsewhere). Let (1 - if 0<x< 1, g(x) = (- 1)3 if 1<x<3, elsewhere. Calculate the pdf of Y = 9(X). P. 6 The absolutely continuous random variables X and Y have the joint probability density function fx.ya, y) = 1/(x?y?) if x > 1,y > 1 (and 0 elsewhere). Calculate the joint pdf of U = XY...
Please solve on only PART 2 b)
and c) , PART 1 is only for REFERENCE :)
Part I: Ene concept of a percentile (equivalently, quantile) is very important in data analysis. It applies to both samples and distributions. So, let's get some wi practice with them, starting with the binomial distribution. In prelab, you learned that the function gbinom(p. size prob) gives the p-th quantile of the binomial distribution with parameters n - size and pi prob. tocus on...
As on the previous page, let Xi,...,Xn be i.i.d. with pdf where >0 2 points possible (graded, results hidden) Assume we do not actually get to observe X, . . . , Xn. to estimate based on this new data. Instead let Yİ , . . . , Y, be our observations where Yi-l (X·S 0.5) . our goals What distribution does Yi follow? First, choose the type of the distribution: Bernoulli Poisson Norma Exponential Second, enter the parameter of...
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