4. (20 points) Suppose that for a given computer salesperson, the probability distribution of X =...
O 3/5 points | Previous Answers PODStat6 7.XP003. Suppose that for a given computer salesperson, the probability distribution of x the number of systems sold in one month is given by the following table. 1 3 4 x 5 6 7 8 P(x) 0.06 0.10 0.11 0.30 0.29 0.12 0.01 0.01 (a) Find the mean value of x (the mean number of systems sold). mean 4.11 (b) Find the variance and standard deviation of x. (Round the answers to four...
3. (20 points) (a) Use the binomial probability formula to construct the probability distribution for Bernoulli trials with given number of trials n 5 and the probability of success p 0.35 x P(X x) (round to 4 decimals) 0 2 4 (b) What is the probability that X is 4? (c) What is the probability that X is at least 4? (d) Find the mean and the standard deviation ? of X (round to 2 decimals).
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...
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...
2) For the given probability Distribution, Complete the table and finds the mean, Variance and standard Deviation of the probability Distribution: (5 Points) P(x) 0.686 1 0.195 0.077 2 0.022 4 0.013 5 0.007 Variance: Standard Deviation: Mean: henning for themselves You
We can now use the Standard Normal Distribution Table to find the probability P(-0.25 sz s 1). 0.05 0.06 0.07 0.08 0.09 -0.2 0.4013 0.3974 0.3936 0.3897 0.3859 0.00 0.01 0.02 0.03 0.04 Using these 1.0 0.8413 0.8438 0.8461 0.8485 0.8531 The table entry for z = -0.25 is 0.00 and the table entry for z = 1 is values to calculate the probability gives the following result. PC-0.25 sz s 1) P(Z < 1) - P(Z 5 -0.25) 10....
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?
1. Here is the probability distribution for a random variable x: Value of X Probability 0.4 0.6 a. (4 pts) Find the mean and the standard deviation of this distribution. Show all work. b. (4 pts) Let Y 3X -2. Find the mean and the standard deviation of the distribution of Y Show all work and any rules you use c.(4 pts) Now let 2 3x2-2, Find the distribution of Z by completing the table below Value of Z Probability...
Consider the following joint probability distribution on the random variables X and Y given in matrix form by Pxy P11 P12 P13 PXY-IP21 p22 p23 P31 P32 P33 P41 P42 P43 HereP(i, j) P(X = z n Y-J)-Pu represents the probability that X-1 and Y = j So for example, in the previous problem, X and Y represented the random variables for the color ([Black, Red]) and utensil type (Pencil,Pe pblackpen P(X = Black Y = Pen) = P(Black n...
Find the mean, variance and standard deviation for the probability distribution given below: X -3 5 10 12 P(X) 0.562 0.137 0.201 0.1 A. Mean = B. Variance = C. Standard Deviation =