The joint probability distribution function f(x, y) of the discrete random variables X and Y is given by the following table: Y Round to 4 decimal places if needed. 2 3 4 0 0.1 X 1 2 3 0.1 0.1 0.1 0.1 0.1 0.1 5 0.1 0.1 0.1 Let f(xly) be the conditional distribution function for X given Y = y. Find f(2|4).
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- The cumulative distribution function of a continuous random variable X is given as Choices: A. 0.4 B. 0.5 C. 0.6 D. 0.7 E. 0.8 F. 0.9 G. Other: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, y) 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 0.060 0.040 0.100 0.030 0.020 0.050 What is the probability that there is exactly one car and exactly one bus during a cycle? What is the probability that there is at most 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? P(exactly one car) = P(exactly one bus) = - 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 overflov during a cycle?The joint probability distribution function f(x, y) of the discrete random variables X and Y is given by the following table: Let h Y Round to 4 decimal places if needed. 2 3 4 5 0 0.1 0.1 X 1 2 3 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 be the marginal probability distribution function of Y. What is h(3)?
- В. Directions: Find the indicated term in each number. 1. Find the 1Oth term of the sequence -37,-34,-31, ... 2. Find the 15th term of the sequence 2,-2,-6,... 3. Find the 10th term of the sequence it a1 =-13 and d = 8 %3D %3D 4. Find the 16th term of the sequence if a1 = 8 and d = -9 %3D 5. Find the 18th term of the sequence, it a1 = -3 andd = -12 %3D %3DLet X be a discrete random variable with the following cumulative.distribution function 0. x <0 0.2 0Sx<1 15x<3 3The random variable X, Y and Z have the following joint probability distribution: X 1 1 1 1 2 2 2 2 y 1 1 2 2 1 1 2 2 Z 1 2 1 2 1 2 1 2 f(x,y,z) 0.05 0.10 0.15 0.20 0.20 0.15 0.10 0.05 Determine the following: 1. P(X=1, Y=2) 2. P(Z<1.5) 3. 4. and Z = 2. P(X=1 or Z=2) Conditional probability distribution of X given that Y =1Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON