Q5) Suppose that ƒ(x) = e*for (0< x). Determine the following probabilities: 1) P[1

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Q: 4. Let X1,..., Xn be an iid sample from Bernoulli(p). Show that E X? converges in probability to p.

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A: It is widely used in estimation theory . It is very useful in statistics.

Q: If X is a random variable, prove that Cov(X,X) = σX².

A: Let X is a random variable.

Q: Let BE S, and suppose B4 = (2143567). Find ß. What are the pos- sibilities for ß if ßE S,?

A: Given, We have to find b. Also, find the b when it belongs to S9.

Q: Let. X have a uniform distribution on the interval (1,3). What is the proba- bility that the sum of…

A: Uniform distribution is widely used in statistics . It is very useful in modern times .

Q: be a random variable with the followi Value x of X P(X=x) -1 0.25 0.35 0.15 0.15 0.10 plete the…

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Q: 1. The probability that the interval (x-0/4, + o/4) contains u is equivalent to P(

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Q: (a)  You roll two dice: one is blue and the other one is red. Both dice are six-sided with a…

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Q: 1. Under Ho, the likelihood function is given by L(Î.) %3D A. True O

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Q: If the random variable X has uniform distribution on the interval [0, a], what is the probability…

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Q: 12.14. The chi-squared test can be used to test how well a set of measure- ments (xi, yi) of two…

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Q: Suppose that f(x) = e* for x > 0. Determine the following probabilities:

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Q: Let X have a uniform on the interval (4, 9). Find the probability that the sum of 2 independent…

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Q: Let XXX be uniformly distributed on [1,3][1,3][1,3]. What is the expectation of X2X^2X2, i.e.,…

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Q: 1- (1+ x)-m if x >0 otherwise (b) Now let Fx(x) = where m e N. i. For which k EN does the…

A: You only asked for the part b so I am giving answer to the part b  Given let Fx(x) = 1-(1+x) -m  if…