Let the mgf of the random variable X is ( +2 etj^12 Do you recognize this moment3generating function? It is Binomial mgf. You need to identify n, p and 1-p using handout forBinomial.a) Find P( x = 6) =b) The mean µ, of the random variable =c) The sd o, of the random variable =

Answered: Let the mgf of the random variable X is…

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...

See similar textbooks

Similar questions

Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triple of “heads” (h) and tails (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is hht, then R (hht)=1. Suppose that the random variable X is defined in terms of R as follows X=6R-2R^2-1. The values of X are given in the table below. A) Calculate the values of the probability distribution function of X, i.e. the function Px. First, fill in the first row with the values X. Then fill in the appropriate probability in the second row.
Thank you your assistance is greatly appreciated.
moment generating function (mgf) between X and Y, explain how conclude that X and y'are independent. 6. Using two random variables. one can
Q4) Find the p-value for the table above
A researcher that wanted to estimate the expectation AY of a random variable Y got three independent observations, Y, Y, Y The researcher knows the value o, of the variance of Y and is considering the following estimators: Pi = 4) Yi + (+) ¥ Py = () Yn + (;) ¥½ + () Y½ in (}) Yi + (}) ¥z + (() %D Which of the following is correct? ONone of the above Ois an unbiased estimator of l and it has the smallest variance of the three estimators. Ois an unbiased estimator of µ and it has the smallest variance of the three estimators. O and i, are both unbiased estimators of fl and Var (ſîz) < Var (îì3). is an unbiased estimator of µ and it has the smallest variance of the three estimators.
1 find the first four moments of the binomial distribution 9. Ifx is a binomial variate with parameters 6 and 2 about origin.
Let X is a random variable with a pdf with mean u and standard deviation o (we do not know the actual shape of the pdf). If we draw reasonably large (n) samples from X, and calculate the sample mean X-bar, then what will be the pdf of the X-bar and WHY? |(Do not forget to mention the parameters of the pdf of X-bar) Answer here--->
Question 5 Find the 82 -th percentile for a uniform random variable U with the lower limit 17 and the upper limit 21. The 82 -th percentile for U is (Round the answer to 2 decimal places)
For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous. (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfish
Give neat and clean explanation Don't copy from available solutions, I will rate your answer good
n,T 3. Suppose {uit}i=1,t=1 be i.i.d. variables with mean zero and variance o?. Show that for each i, Auit is autocorrelated. That is, Auit is correlated to some of its past values. E.g., it is enough to calculate Cov (Auit, Auit-1) and Cov (Auit, Auit-2) to see if any of these are non-zero.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Let the mgf of the random variable X is ( +2 etj^12 Do you recognize this moment 3 generating function? It is Binomial mgf. You need to identify n, p and 1-p using handout for Binomial. a) Find P( x = 6) = b) The mean µ, of the random variable = c) The sd o, of the random variable =