A. Directions: Solve and determine if each probability distribution is a discrete probabilitydistribution or NOT.X0113P(x)1/52/51/51/52.50.053.a357P(a)2/71/75/71/74. P(x)=, for x = 0, 1, and 25.P(x) = for x = 1,2, and 3B. Determine the Mean, Variance and Standard Deviation of each random variable.1.X0113P(x)1/52/51/51/52.230.10.6yP(y)YP(y)0.210.220.130.640.0540.0550.05

A. The provided information is In discrete probability distribution,The sum of all probability is…

Answered: A. Directions: Solve and determine if…

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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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) •…
The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Find the mean of the probability distribution. Houses Sold (x) Probability P(x) 0 0.24 1 0.01 2 0.12 3 0.16 4 0.01 5 0.14 6 0.11 7 0.21 μμ = 3.50 μμ = 3.35 μμ = 3.60 μμ = 3.40
Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 2. 4 P(X = x) 0.3 0.25 0.25 0.15 0.05 The expected number of deaths per day in the hospital is: 1. 3.3 2.4 O 17 O O O O
Pls solve for 4, 5 and 6.
a. Which of the following CANNOT be a probability distribution? Explain.i. p(x) = x / 6 for x = 1,2,3ii. p x = x for x = 1,2,3iii. p(x) = x / 5 for x = 1,0,1 b. An investor has $1000 available for a 1-year investment. The investor isconsidering the following three options:Option APossible return 30% 20% 0% -20%Probability 25% 40% 20% 15%Option BPossible return 50% 30% 0% -40%Probability 15% 50% 20% 15%Option CGuaranteed return 10%Probability 100%i. Based on the expected returns, which of these options should theinvestor choose?ii. Compute the standard deviations for Option A and Option B. Whichone of options A, B, and C has the least risk (i.e. the smallest standarddeviation), which one has the highest risk? What can you say aboutthe relationship between the expected returns and the risks of financialassets in the normal situation?
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 8 The variance of the days to complete the project is ________. a 1.665 b 1.542 c 1.428 d 1.322
Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
Test the following function to determine whether it is a probability function. (Give your answers correct to two decimal places.) P(x) = x2 + 5 50 , for x = 1, 2, 3, 4 (a) List the probability distribution. P(1) = P(2) = P(3) = P(4) =
Which of the following tables represents a valid discrete probability distribution? X P(X=x) X P(X=X) X P(X=x) X P(X=x) 5 0.51 1 0.23 0 10 15 0.03 0.03 3 0.03 1 0.33 0.15 3 0.24 5 0.15 2 0.27 20 0.39 7 9 0.17 0.19 3 0.19 25 30 0.15 0.01 12 11 0.02 4 5 1.01 0.06 6 9 15 18 0.22 0.23 0.12 -0.03 0.43
find the following values, A B C D E F G H I AND J
The discrete random variable Y has probability distribution given by: Y 0. 1 3. P(Y=y) b. 0.1 0.15 a where a, b and c are constants. P(Y = 1) = P(Y 23) %3D P(Y = 0) = P(Y = 2) – 0.1 %3D %3D Find the values of a, b and c.
The function f (x) = xc², x = 1, -1, 2, -2, 3, -3In order for the random variable X to be a probability functionWhat should be the constant c. Find the distribution function, expected value, and variance of the random variable X.

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A. Directions: Solve and determine if each probability distribution is a discrete probability distribution or NOT. X 0 1 1 3 P(x) 1/5 2/5 1/5 1/5 y P(y) 0.2 a P(a) 2/7 4. P(x)=, for x = 0, 1, and 2 5. P(x)=for x = 1, 2, and 3 2 0.1 3 1/7 3 0.6 5 5/7 4 0.05 5 0.05 1/7