Determine the value of M Find P(X=2) Determine f(3,2) Find the conditional distribution of X=1 given that Y=2 Find the conditional distribution of Y=1 given that X=2
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Determine the value of M
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- II. Tell whether or not the given distribution is a discrete or not. If it's not, identify what properties it violates a, 1 2 3 4 P(x) 0.10 0.20 0.25 0.40 0.05 b. 4 P(x) 0.05 0.25 0.33 0.28 0.08 C. 2 3 P(x) 0.03 0.22 1.01 0.23 0.02 II. Complete the table by finding the unknown 3 P(x) k 4 k 15 15 5 15 15 1. Find k 3 P(x) d 96. 2d 2 25 25 25 25 2. Find d 5. 2.x+y Suppose the joint probability distribution of X and Y is given by f(x,y) = , for x=2, 3, 4, 5; y = 3, 4, 5. Complete parts (a) through (d). 90 (a) Find P(X ≤4,Y=4). P(X ≤4,Y=4)=(Simplify your answer.)a Construct probability distribution for the random experiment of the difference between the results of two fair dice rolled together. Let X be the random variable for the distribution Use the probability distribution to determine the following i. ii. P(0 S X 5 5) iv. P(X 0) V. P(X > 2|X < 6)
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- x+y Suppose the joint probability distribution of X and Y is given by f(x,y) = , for x = 5, 6, 7, 8, y=5, 6, 7. Complete parts (a) through (d). 150 (a) Find P(X ≤7,Y = 5). P(X≤7,Y=5)= (Simplify your answer.) ……….Roll a fair die twice let X be the random variable that gives the absolute value of the differences between the two numbers. a)construct the probablityofthe variable X. b) Find the cumulative distribution function(cdf) F(x)Aleem tossed a coin 50 times and recorded the results in a frequency distribution table. Outcome Frequency Heads 22 Tails 28 What is the experimental probability of tossing a head?