ree fixed-price dinners costing $12, $15, and $18 including tax and tip. The joint probability mass function p(x,y) of the costs of each member of a dining pair (a host and a guest) is shown in the table below. Cost of guest's dinner (y) $12 $15 $18 Cost of $12 0.05 0.05 0.10 host's $15 0.05 0.10 0.30 dinner (x) $18 0.05 0.20 0.10 Are the dinner costs of the guest and the host independent? O A. Yes, because p(x,y)= p(X)p(y) for all x and y is true O B. No, because p(x,y)= p(x)p(y) for all x and y is true O C. Yes, because p(x,y)= p(x)p(y) for all x and y is false D. No, because p(x,y)= p(x)pV) for all x and y is false

Player RBI HR AVG Salary (in millions) Prince Fielder 44 8 0.212 18.000 Jean Segura 64 20 0.320 2.600 Logan Forsythe 52 20 0.264 2.750 Chris Iannetta 24 7 0.210 4.550 Adam Jones 83 29 0.265 16.000 Curtis Granderson 59 30 0.237 16.000 Jason Heyward 49 7 0.230 21.667 Hanley Ramirez 111 30 0.286 22.750 David Ortiz 127 38 0.315 16.000 Matt Wieters 66 17 0.243 15.800 Colby Rasmus 54 15 0.206 15.800 Rajai Davis 48 12 0.249 5.950 Mike Trout 100 29 0.315 16.083 Troy Tulowitzki 79 24 0.256 20.000 Justin Smoak 34 14 0.217 3.900 Adrian Beltre 104 32 0.300 18.000 Matt Holliday 62 20 0.246 17.000 Hunter Pence 57 13 0.289 18.500 Brian McCann 58 20 0.242 17.000 J.D. Martinez 68 22 0.307 6.750 Ryan Braun 91 31 0.305 20.000 Mark Teixeira 44 15 0.204 23.125 Victor Martinez 86 27 0.289 18.000 Justin Upton 87 31 0.246 22.125 Carlos Gonzalez 100 25 0.298 17.454   Determine the correlation coefficient.  (Round your answer to 4 decimal places.) Find the…

Dentist probability part 1 Question 1 The table below contains the full joint probability distribution related to the occurrence of toothaches. toothache catch not toothache not catch catch 0,14 0,026 0,059 not catch 0,111 0,008 0,172 0,434 cavity not cavity 0,05 Using these values, calculate P(toothache/cavity) (round all answers to 3 decimal places and use a period as a decimal separator):

Determine whether the following are valid probability models or not. Type "VALID" if it is valid, or type "INVALID" if it is not.

Grade A B U Frequency 5 a 9 7 D ** F 5 Refer to the table. Given that receiving at least a C is passing the course, calculate the probability a student passed the course.

Insurance: An insurance company sells a 1-year term life insurance policy to an 80-year-old woman. The woman pays a premium of $4000. If she dies within 1 year, the company will pay $53,000 to her beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 80-year-old woman will be alive 1 year later is 0.9259. Let X be the profit made by the insurance company. Part: 0 / 2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is X P(x) 4000 ☑

Insurance: An insurance company sells a 1-year term life insurance policy to an 84-year-old woman. The woman pays a premium of $1400. If she dies within 1 year, the company will pay $46,000 to her beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 84-year-old woman will be alive 1 year later is 0.9714. Let X be the profit made by the insurance company. Part: 0 / 2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is x 1400 X P(x)