ques
In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let Y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table:
Find the marginal probability mass function pX(x). Round the answers to two decimal places.
pX(0)
pX(1)
pX(2)
y | |||
x | 0 | 1 | 2 |
0 | 0.10 | 0.11 | 0.05 |
1 | 0.17 | 0.23 | 0.08 |
2 | 0.06 | 0.14 |
0.06 |
tion
ques In a certain community, levels of air pollution may exceed federal standards for ozone or...
n a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let Y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: y x 0 1 2 0 0.10...
Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of Xis given by 0 1 2 3 4 P () 0.34 0.39 0.17 0.06 0.04 0.00 0.04 Send data to Excel (c) Find the probability that the standard is exceeded on at least three days. The probability that...
1. Suppose that that joint probability mass function of and is given in the following table. y 0 1 0 0.16 0.14 1 ? 0.17 2 0.11 0.11 Find . Hint: Find first. 2. Suppose that that joint probability mass function of and is given in the following table. 0 1 0 0.06 0.08 1 ? 0.09 2 0.14 0.05 Find the expected value of .
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...
For Exercises 3-15 to 3-18, verify that the following functions are probability mass functions, and determine the requested probabilities. 3-15. x 2 x)1/8 2/8 2/8 2/8 18 (a) P(Xs 1) (c) P(-1 X (b) P(X-2) (d) P(X--1 1) or X= 2) 3-28. The data from 250 endothermic reactions involving sodium bicarbonate are summarized as follow Final Temperature Conditions 266 K 271 K 274 K Number of Reactions 70 80 100 33. Determine the cumulative distribution function for the random variable...