* Consider the following joint distribution for the weather in two consecutive days. Let X and Y be the random variables for the weather in the first and the second days, with the weather coded as 0 for sunny, 1 for cloudy, and 2 for rainy. X Y 0 1 2 0 0.3 0.1 0.1 1 0.2 0.1 0 2 0.1 0.1 0 (a) Find the marginal probability mass functions for X and Y . (b) Calculate the expectation and variance for X and Y . (c) Calculate the covariance and correlation between X and Y . Are they correlated

Two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7. find the numbers

Tim's phone service charges $26.39 plus an additional $0.21 for each text message sent per month. if tim's phone bill was $31.64, which equation could be used to find how many text messages, x, tim sent last month?

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.