х 1 4 5 4. The probability distribution of a random variable X is given below...
Use the probability distribution for the random variable x to answer the question. х 0 1 2 3 4 5 p(x) 0.3 0.2 0.05 0.15 0.25 0.05 Find u, 02, and o. (Round your standard deviation to two decimal places.) H = 0.2 x 02 = x
The random variable X has probability distribution 1 3 5 7 9 P(X=x) 0.2 0.3 0.2 0.15 0.15 Find E(X) and Var(X)
what are the correct values for 0,1,2,3? Find the probability distribution for the given random variable. (Round all probabilities to four decimal places.) From a bin that contains 27 defective joysticks and 31 good ones, 3 are chosen at random; X = the number of defective joysticks chosen. х 0 1 2 3 P(X = x) 0.0149 x 0.5552 x 0.6406 x 0.2293 x Draw a histogram. P(X)=x P(X)=x P(X)=x 0.4 0.4 0.4 0.3! 0.3 0.3 0.2. 0.2 0.2 0.1...
The probability distribution of random variable X is given below. What is E[X]? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. What is σ2x? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. Let Y = 4X − 5 be a new random variable. What is σ2y? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable...
Random variable X has a distribution: P(x=0)=0.2 ; P(x=1)=0.3 ; P(x=2)=0.1 & P(x=3)=0.3 ; P(x=4)=0.1. Find: a) E(x) and Var(x) b) Find Fx(Xo) c) Find quantile of order 1/4 and median d) Find P(2<=x<=4)
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...
The following table shows the probability distribution of a random variable X 2 -2 -1 0 1 х с f(x) 2k k 3k 0.3 0.1 It is given that E(5X 2) 3; (a) Find c and k; (4
Determine if the following tables can serve as a probability distribution for some random variable based on the three conditions: (1) $X$ values are numerical. (2) $P(x)$ values are between 0 and 1 and. (3) sum of P(x) values is 1 (P(x) = 1). If all three conditions are met, write not applicable (NA) for the second part. (a) x 02 3 4 5 P(x) 0.2 0.24 0.16 0.3 0.2 This table a a probability distribution because it does not...
2) Consider a random variable with the following probability distribution: P(X-0)-0., Px-1)-0.2, PX-2)-0.3, PX-3) -0.3, and PX-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 values. How do these summary measures compare to the...
1. Two independent random variables X and y are given with their distribution laws 4 P 07 0.1 0.2 P 0.2 0.3 0.5 Find 1) the variance of random variable Y 2) the distribution law of random variable Z-0.5Y+x END TEST IN PROBABL ITY THEORY AND STAISTICS Variant 1 1. Two independent random vanables X and Y are given with their distribution laws: 2 0.7 0.1 P 0.2 0.3 0.5 0.2 Find 1) the variance of random varñable Y 2)...