Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random varlable X, whose possible values are 0, 1, 2, 5, and 6.Value x of XP(X = x)0.26250.290.13Save For LaterContinueRights Reserved Terms of Use Pive2022 McGaceresc2423@32

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Answered: FIll in the P (X=x) values to give a…

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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1 v 2 = 3 v 4 5 7 10 11 12 v 13 Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -2, 1, 4, 5, and 6. Value x of X P(x = x) -2 0.10 1 0.23 4 0.13
The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40 .10 Which one of the following correctly gives the value of the mean and standard deviation of X? OH = 0.5, o = 37.5 OH = 2.25, o = 37.25 OH = 0.5, o = 6.10 OH= 2.25, o = 6.10 OH= 0.5 o = 37.25
The table below shows the probability distribution for a discrete random variable X. X 0 1 2 4 5 P(X=x) 0.15 0.20 n 0.30 0.10 a. State the value of n. b. Calculate the expected value, E(x). c. Calculate the variance, Var(x).
The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=1 Y=2 X=-4 0.03 0.00 0.08 X=0 0.27 0.14 0.06 X=3 0.20 0.16 0.06 From the information in the table, calculate each of the following three probabilities. (a) P(X> -4) = [ (b) P(Y = 2) = [] (c) P(X > 0.Y < 1) = 1 Check Explanation ALEKS - Britney Fri.
The joint probability function of random variables X and Y is given in the table below. Show that X and Y are uncorrelated, but not independent. x = 0 2 4 y = -1 .1 .1 CamScanner 0 .1 .2 .1 1 .1 .1 .1 ECUS=
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. p(x, у) 1 2 0.015 0.010 0.025 1 0.030 0.020 0.050 2 0.075 0.050 0.125 3 0.090 0.060 0.150 4 0.060 0.040 0.100 0.030 0.020 0.050 (a) What is the probability that there exactly one car and exactly one bus during a cycle? (b) What is the probability that there is at most one car and at most one bus during a cycle? (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) P(exactly one bus) = (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflow during a cycle? (e) Are X and Y independent rv's? Explain. Yes, because p(x, y) = Px(x) · Py(y). Yes, because p(x, y) ± Px(x) · py(y). No, because p(x, y) = Px(x) · Py(Y). No, because p(x, y) # Px(x) · Py(y).
k is a probability distribution 4* Given that p(x) = for a random variable X that can take on the values x = 0, 1, 2, and 3. k is a constant. a) Find the pmf of X. b) Find the mean of X c) Find the variance of X
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. y 1 p(x, y) 0 1 0.030 0.020 50 X 3 0.090 0.060 4 0.060 0.040 2 0 0.015 0.010 0.025 0.050 2 0.075 0.050 0.125 0.150 0.100 5 0.030 0.020 0.050 (a) What is the probability that there is exactly one car and exactly one bus during a cycle? 0.020 (b) What is the probability that there is at most one car and at most one bus during a cycle? 0.075 (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = 0.220 x P(exactly one bus) = 0.200 (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflow during a cycle? 0.985 X (e) Are X and Y independent rv's? Explain. O Yes, because p(x, y) = P(x) Py(Y). O Yes, because p(x, y) = Px(x) • P₂(Y). # ● No, because p(x, y) = Px(x) •…
Let X be a discrete random variable with probability function f(x) = kx for x = 0,2,5,7. The value of k is equal to: %3D 1/14 1/9 1/10 3/10
The probability distribution for the random variable,x, is x: 2, 2.5,3.0,3.5,4.0,4.5 and P(x):0.07,0.36,0.21,0.19,0.10,0.07 Calculate P(x <= 3.9) a. 0.19 O b. 0.57 C. 0.83 d. 0.47 O о O
Let X be the number of random number of cars and the Y be the number of buses per signal cycle at a proposed left turn lane is displayed in the accompanying joint probability table. Y X/Y 1 2 0.025 0.015 0.010 1 0.050 0.030 0.020 2 0.125 0.075 0.050 3 0.150 0.090 0.060 4 0.100 0.060 0.040 5 0.050 0.030 0.020 Find the probability that there is exactly two cars and exactly one bus during a cycle? What is the probability that there is almost one car and at most one bus during a cycle? What is the probability that there is exactly one car during a cycle? Exactly one bus?
Let X be a binomial random variable. If E(X)=3 and V(X)=1.5, then p(X=2) equals 0.234 0.016 0.156 0.547

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FIll in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 0, 1, 2, 5, and P(X = x) Value x of X 0.26 2 0.29 6- 0.13