0 P(x) 0226 Given the above probability distribution for a random variableX of an experiment: 0328...
The probability distribution for the number of cards owned is given below: Number of cards: 0 1 2 3 4 5 Probability: 0.06 0.31 0.28 0.15 0.12 0.08 1) Show that above table is valid probability distribution 2)What is the expected value of number of cards owned by random person? 3)What is the probability that randomly selected person has less than 3 cards?
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
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A continuous random variable Xhas the probability density function (PDF) given below (equation & graph): 0 a) Find h which makes fo) a valid probability density function b) Find the expected value ElX) of the probability density function fc) c) Find the cumulative distribution function Fo). Show all you work
If the probability distribution for the random variable X is given in the table, what is the expected value of X? Xi -4 3 4 Pi 3 5 2
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated...
1. The probability distribution of a discrete random variable X is given by: P(X =-1) = 5, P(X = 0) = and P(X = 1) = ? (a) Compute E[X]. (b) Determine the probability distribution Y = X2 and use it to compute E[Y]. (c) Determine E[x2] using the change-of-variable formula. (You should match your an- swer in part (b). (d) Determine Var(X).
Determine the value of c that makes the function f(x,y) = c(x+ y) a joint probability mass function over the nine points with x= 1, 2, 3 and y = 1, 2, 3. Determine the following: a) P(X = 1, Y < 4) b) P(X = 1) c) P(Y = 2) d) P(X < 2, Y < 2) e) E(X), E(Y), V(X), V(Y) f) Marginal probability distribution of the random variableX. g) Conditional probability distribution of Y given that X...
Assume the random variable x has a binomial distribution with a given probability of obtaining a success. Find the probability, given the number of trials and the probability of obtaining a success. P(X<=3), n=7, p=.2
The probability distribution for the random variable X is given below. X 0 P(x) 0.05 0.17 0.26 2 3 4 0.24 0.28 What is the standard deviation to the nearest hundredth) for the random variable? O A 1.17 OB. 12 O C. 1.3 OD. 124 O E. None of the above Click to select your answer Type here to search o i E
Consider a random variable X with the following probability distribution: p(x)-0.05x. for x the the expected value of Y-6X-7 2, 3, 4, 5, or 6 Find