3(8x – x)Suppose that f(x) =-for 0 < x < 8.256Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765).(a) P(X < 4) = i(b) P(X < 11) =i(c) P(4 < X < 6) =i(d) P(X > 7) =i(e) Determine x such that P(X < xr) = 0.99.X =

As per our guidelines we are suppose to answer three sub parts. Given,f(x)=3256(8x-x2) ;…

Answered: 3(8x – x²) Suppose that f(x) = - for 0…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that you start with an initial fortune of 20 dollars, and you bet one dollar each time. The probability of winning each hand is p. You quit if you reach your goal of L dollars or when you go broke. Let Q(xo) denote that probability that you eventually win. We need to characterize this probability. Next we give a more mathematical description of the problem. Now define your fortune at time n ≥ 1 by - Xn = Xn-1+ I{Y=1} = I{Yn=0} with the initial condition X = x0 ≥0. Let L = N be given, and define T inf{k : Xk = 0 or Xk = L}. Finally, let Q(x0) = P{XT = . L}. Show that X is a Markov chain and obtain its transition probability matrix. Is it irreducible? Use conditional expectations to prove that Q(x)=pQ(x+1) + (1 − p)Q(x − 1), - x = 1, L-1, (1) with Q(0) 0 and Q(L) = 1. = d) Solve the difference equation in (1) analytically. Let P(x0) P{XT = 0}. Determine P(x) directly and show that P(x) + Q(x) = 1. Hint: Use the same form of the difference equation and analytical solution as in…
According to a study, 58% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered and 152 of 226 respondents indicated that they live at home. (1a) P(X≥152)=__________ (Round to four decimal places as needed.) (1b) Do the results from part (a) contradict the study? yes or no
I ONLY need help with parts (c) and (d) on this Intro to probability and statistics homework problem. Below the homework problem is the answers from the textbook. Make sure your handwriting is neat and readable.
al Umniah 10:48 PM O 65% Done A docs.google.com AA C Let X1,., X,idN(µ, a?). x1, 3(x2 + + Xn-1), Xn If = ... 5(п - 3) 5 find E(@) (a) 5(n-3) H 3(n-2) (b) 5(п-3) 4(n-9) (c) 5(п-3) 5n-12 (d) 5(n-3) (e) None b d e
Current Attempt in Progress 3(8x – x²) Suppose that f(x) = - for 0 2) = i (e) Determine x such that P(X < x) = 0.75. X = i
Let X = number of errors per 500 lines of software code. Suppose it is known that E(X) = 4.11 and E(X²) = 17.63. What is Var(X)? Answer:
(d) P(|Z|>0.7) = (Round to four decimal places as needed.) (e) P(- 1.1sZs1.2) = (Round to four decimal places as needed.)
P(X < 4), n = 6, p = 0.7
Highway engineers use f(x) = (0.905)* to estimate the likelihood, or probability, that no vehicle will enter a particular intersection within an interval of x seconds. Construct a table of f(x) = (0.905)* starting at x = 0 and incrementing by 10, until x = 50. a. Evaluate f(1) and interpret the result. b. For a time interval of what length is there only a 2% chance that no cars will enter the intersection?
Suppose the following information is known P[A] = 0.8, P[B] = 0.5, P[A and B] = 0.40. The values for P[B|A] and P[A|B] are respectively: (a) It cannot be determined. (b) 0.65, 0.75 (c) 0.65, 0.70 (d) 0.50, 0.80 (e) 0.50, 0.75
The 2010 U.S. Census found the chance of a household being a certain size. The data is in the pmf below ("Households by age," 2013). Let X be the number (size) in a household. E(X) = k·P(X = k) 7 (or more) P(X=k) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 k 1 2 3 5 6 a) The probability of a household size being more than 5, P(X > 5) = % b) In the long run, we are expected to see a household size of, E(X)= on average. Round answer to three decimal places. c) The probability that the size of a household is equal to two is %. d) The probability of a household size being three OR six is %.
Suppose Xt denotes the unknown whose value is the success count for ?ttrials of a Bernoulli Process with success rate p and Wn the unknown whose value is the number of trials to have the nth success. Then, the probability that the number of trials to get the 7th success is at most 10 is which of the following? (A) P(X10≥7)P(X10≥7) (B) P(X7<10)P(X7<10) (C) P(X10<7)P(X10<7) (D) P(W7≥10)

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3(8x – x²) Suppose that f(x) = - for 0 < x < 8. 256 Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765). (a) P(X < 4) = i (b) P(X < 11) = i (c) P(4 < X < 6) = i (d) P(X > 7) = i (e) Determine x such that P(X < x) = 0.99. X = i