Determine if the following tables can serve as a probability distribution for some random variable based...
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...
4.8.147 :3 Que Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. | X p(x) e Sample | 1,1 1,2 1,3 1,4 2,1 2,2 2,3 2,4 Full data set e 0.2 Probability 0.04 0.04 0.06 0.06 0.04 0.04 0.06 0.06 0.2 3 0.3 Sample 3,1 3,2 3,3 3,4 4,1 4,2 4,3 4,4 4 0.3 Probability 0.06 0.06 0.09 0.09 0.06 0.06 0.09 0.09 ON a. Complete the sampling distribution table....
2. Consider a random variable with the following probability distribution: P(X=0) = 0.1, P(X=1) = 0.2, P(X=2) = 0.4, and P(X=3) = 0.3 a. Find P(X<=1) b. Find P(1<X<=3)
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.
1. (3 points) Explain why each of the following is not a valid discrete probability distribution. P(x) 0.35 0.10 T-Mobile 0.25 MetroPCS 0.15 0.05 0.10 a. Verizon Sprint Cricket Other b.X Px 0 0.2 2 0.3 0.4 6 0.5 -2 0.1 0 0.2 2 0.2 4 0.2 8 0.3
Determine the required value of the missing probability to make the distribution a discrete probability distribution. x P(x) 3 0.25 4 ? 5 0.21 6 0.29
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...
Question 11 1 pts The following is the Probability Distribution Function for a discrete Random Variable. What is the expected value of x? X P(x) 10 11 12 13 0.1 0.3 0.4 0.2
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...
Which of the following distributions is(are) valid discrete probability distribution(s)? 2. 3. 4. X p(x) X P(X) X p(x) X P(X) 0.3 0 0.3 0 0.2 0 0.1 1 0.4 1 -0.2 1 0.7 1 0.1 2 0.3 2 0.9 2 0.2 N 0.8 O All are valid O 1,3, and 4 only 1 and 4 only 1 only 4 only