The random variable X has the probability distribution table shown below. Calculate the standard deviation of...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
2. (-13 Points) DETAILS TANFIN12 8.3.002. The probability distribution of a random variable x is given. MY NOTES 12 -2 0 2 4 PCX = ) 0.3 0.1 0.2 0.2 0.2 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation The probability distribution of a random variable X is given. 1 View 2 3 4 P(X = x) 0.3 0.4 0.2 0.1 Compute the mean, variance, and standard deviation...
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...
The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 1) Find P(x<2) Please use up to 4 decimal places and use the proper uses of rounding. Excel can be a helpful calculator in these problems. 2) Find the expected value (mean) of this discrete random variable. Please use up to 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator...
Find the mean, variance and standard deviation for the random variable X: Random Variable X -2 1 3 P(X = x) 0.1 0.3 .6 Show the calculations that you need for each part. You will get no credit for using your calculator or Excel and only giving the answer. You should write out: mean = ........ (show how the mean is calculated) Vairance = .............. Standard Deviation = ................
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...
Consider the probability distribution shown below: X 10 12 18 20 p(x) 0.2 0.3 0.1 0.4 Find the standard deviation of X.
2. (10 points) The random variable X has the following probability distribution x 2 3 5 8 Pr(X = x) 0.2 0.4 0.3 0.1 a) Pr (X<=3) P(X<=3) b) Pr( 2.7<X<5.1) c)Pr(X>2.5) d) E(X)
3. The manager of a stockroom in a factory has constructed the following probability distribution for random variable X = the daily demand (number of times used) for a particular tool. x 0 1 2 3 p(x) 0.2 0.4 0.1 0.3 Provide Fx, the cumulative distribution function of X.
Find the standard deviation of the random variable X. (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.) X 46 15 38 44 P(X=x) 0.4 0.3 0.2 0.1