Classify the Cases as Recurrent, Transient> ErjodiC,Absorbing
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- is time continuous or discrete varaible?In item response theory, “theta” (Greek letter theta) is calculated by which method: Multiplying the probability of a correct response by the mathematical compliment of that probability The location on the X-axis at which 100% of test takers get the correct response Using the standard error of the item characteristic curve The location on the X-axis at which 50% of test takers get the correct responsePlease do not give solution in image formate thanku suppose a national lotto has the following rules: a player chooses 6 numbers between 1 and 42 and pay $1 to play these 6 numbers once. Every week the organizer extract 6 random numbers without replacement between 1 and 42. To win a prize,the player has to guess three or more of the extracted numbers. (a)what is the pdf of X, the number of winning numbers chosen by the player in one week (b)what is the probability to win (any amount)? (c) what is the probability to win, when the player bets every week for a year (consider 52 weeks in a year)? (d) what is the probability that the player needs exactly one year (i.e. 52 weeks) to win? (e) what is the probability that the playee needs no more than one year to win? (f) what is the probability that the playee needs no more than one year but less than 2 years? (g) what is the number of weeks needed such that the probability to win is at least 0.90?
- Consider the time series model x, = 0, +(1-0,B)z,, z, NID (0,02) Derive: b) the variance of x,. c) the lag-3 autocorrelation for x,.A “tricky” coin behaves just like a normal coin with each toss resulting in a “head” or a “tail” with equal probability unless three tosses in a row result in all “tails”. In that case the next toss of the coin is always a “head” and never a “tail”. Determine the entropy of this “tricky” coin.W (回| PD|XG ng.illuminateed.com/assessment/602f1019423847f8078b642e/602f1019423847f8078b642f/1?rldbqn=T SATestprep, LLC-.. 8) What is the value of x? (Just type your answer. For example, if x=0, just type 0.) K бх — 26 3x + 34 M 20 7.
- Let X~Exp(2). Find a real number a<1 so that the events {X€[0, 1]} and {X€[a, 2]} are independent.Aircraft arrive at a certain airport at a rate of 2 per hour. What is the probability that in a time period of three hours arrive at least an aircraft?Which of the following are continuous variables, and which are discrete?(a) Speed of an airplane(b) Age of a college professor chosen at random(c) Number of books in the college bookstore(d) Weight of a football player chosen at random(e) Number of lightning strikes in Rocky Mountain National Park on a given day
