Given the probability distributions shown to the right, complete the following parts.
a. Compute the expected value for each distribution.
b. Compute the standard deviation for each distribution.
c. What is the probability that x will be at least 3 in Distribution A and Distribution B?
d. Compare the results of distributions A and B.
Distribution A: xi |
Distribution A: P(X=xi) |
Distribution B: xi |
Distribution B: P(X=xi) |
0 |
0.02 |
0 |
0.49 |
1 |
0.09 |
1 |
0.24 |
2 |
0.16 |
2 |
0.16 |
3 |
0.24 |
3 |
0.09 |
4 |
0.49 |
4 |
0.02 |
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected...
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A Distribution B x Subscript ixi P(Xequals=x Subscript ixi ) x Subscript ixi P(Xequals=x Subscript ixi ) 0 0.480.48 0 0.050.05 1 0.240.24 1...
Problem 1 * o - nm + Given the following probability distributions: Distribution C Distribution D P(x) 0.20 0.20 0.20 0.20 0.20 xo - nm + P(x) 0.10 0.20 0.40 0.20 0.10 a. Compute the expected value for each distribution Compute the standard deviation for each distribution Compare the results of distributions C and D C.
section 16 probability distributions and expected values activity Section 16 Probability Distributions and Expected Values Activity 2 The following are probability distributions for variable x. Answer the given questions for each: 1. Z less than 4.W {(x) 0.1 0.1 0.2 02 20 a) P(x = 9) b) P(x = 20) c) P( x3) d) The mean for variable x e) The Standard deviation for variable x 120
Consider the discrete probability distribution to the right. Complete parts a and b below. a. Calculate the mean of this distribution u = 2.44 (Type an integer or a decimal.) b. Calculate the standard deviation of this distribution G= (Round to three decimal places as needed.) Vuesuon Help Consider the discrete probability distribution to the right. Complete parts a and b below Outcome Probability 0.31 0.24 015 0.30 a. Calculate the mean of this distribution * 2.44 (Type an integer...
Please show how did you came up with the answer, show formulas and work. Also, please do Parts e to i. Thank you so much 1. Consider the following probability mass function for the discrete joint probability distribution for random variables X and Y where the possible values for X are 0, 1, 2, and 3; and the possible values for Y are 0, 1, 2, 3, and 4. p(x,y) <0 3 0 4 0.01 0 0 0.10 0.05 0.15...
Distribution A: xi Distribution A: P(X=xi) Distribution B: xi Distribution B: P(X=xi) 0 0.03 0 0.49 1 0.08 1 0.23 2 0.17 2 0.17 3 0.23 3 0.08 4 0.49 4 0.03 What is the standard deviation for distribution B? What is the standard deviation for distribution B? 0 0.49 1 0.23 2 0.17 3 0.08 4 0.03
Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town x 0 1 2 3 P(x) 0.02 0.19 0.28 0.51 (a) Find the probability of randomly selecting a household that has one or two televisions.
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Accidents_Daily_(X) P(X=xi) 0 0.23 1 0.24 2 0.21 3 0.11 4 0.09 5 0.07 6 0.05 What is the probability that there will be at least 2 accidents on a given day?
The following table presents the joint probability mass function pmf of variables X and Y 0 2 0.14 0.06 0.21 2 0.09 0.35 0.15 (a) Compute the probability that P(X +Y 3 2) (b) Compute the expected value of the function (X, Y)3 (c) Compute the marginal probability distributions of X and )Y (d) Compute the variances of X and Y (e) Compute the covariance and correlation of X and Y. (f) Are X and Y statistically independent? Clearly prove...