5. Let f(x, y) = P(X =x,Y = y), X = 2,3,4, Y = 1,2,3,4, where P is given by the tablebelow:X = 2X = 3X = 4Y = 1Y = 2Y = 31/202/201/202/201/203/201/202/202/202/201/20Y = 42/20For problems (a) - (d) below write your work using the correct notation in terms of f(e.g. f(x, y), fy: f,(3), fyp fxp(4) ):(a) Verify that f is a joint probability mass function.(b) Find the marginal distribution for each random variable. Are both random variablesindependent?(c) Find the mean and variance of each marginal distribution.(d) Find the conditional probability function of Y given X =3.(e) Find E(Y|X = 3) and V(Y|X = 3).(f) Find P(X+Y =5), P(Y >1), and P(X +Y =5|Y > 1).

Given that Joint probability mass function of X and Y is X=2 X=3 X=4 Y=1 1/20 2/20 3/20…

Answered: 5. Let f(x, y)= P(X%=x,Y y), X = 2,3,4,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. Below are the numbers of flights on time and delayed for Alaska Airlines at five airports in one month. On time 497 221 212 503 Seattle 1841 (a)Among the flights to Los Angeles, what percent of flights were delayed? (b)What percent of delayed flights were not flying to Los Angeles? Los Angeles Phoenix San Diego San Francisco Delayed 62 12 20 102 305
14. Match these values of r with the accompanying scatterplots: 0.363, 0.994, - 0.747, 0.747, and 1. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplot 1, r= (1) %3D Scatterplot 2, r= (2) %3D Scatterplot 3, r= (3) Scatterplot 4, r= (4) – Scatterplot 5, r= (5). 6: Scatterplots Scatterplot 1 Scatterplot 2 Scatterplot 3 157 14- 6- 13- > 4- 12- 11- 2- 10 0 0.2 0.4 0.6 0.8 0. 0.2 0.4 0.6 0.8 1 1 0.2 0.4 0.6 0.8 1 Scatterplot 4 Scatterplot 5 6- 6- .. 4- > 4- 2- 2- 0. 0.2 0.4 0.6 0.8 1 0. 0.2 0.4 0.6 0.8 1 (1) O 0.994 O 0.747 0 1 O - 0.747 O 0.363 (2) O 0.994 O - 0.747 O 0.363 O 1 O 0.747 (3) O 0.994 O 0.747 O 1 O 0.747 O 0.363 (4) O 0.994 O -0.747 O 0.747 O 0.363 (5) O 0.363 O-0.747 0 1 O 0.747 6- 4.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.6 6.6 3.8 2.4 2.6 2.3 0.8 yy 13.9 11.1 9.9 7.1 6.4 6.4 5.8 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsUse your calculator to determine the equation of the regression line. (Round to 2 decimal places)A) Determine the regression equation in y = ax + b form and write it below. Answer=? B) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer = ? Round to 3 decimal places. C) How many murders per 100,000 residents can be expected in a state with 7.2 thousand automatic weapons?Answer = ? Round to 3 decimal places.
4. A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of four participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (X) Time it Took to sleep (Y) 5. 10 10 18 20 30 40 25 M = 18.75 M = 20.75 S= 15.48 S = 8.69 r= .68 Create a scatter plot of the data b. Calculater and r2 c. Report results in APA style. d. What do results mean? a.
1. The table given below shows the data obtained during outbreak of smallpox: Test the effectiveness of vaccination in preventing the attack from smallpox. Test your result with the help of at 5 percent level of significance. Table 1: The table given below shows the data obtained during outbreak of smallpox Attacked Not Attacked Task C Vaccinated 31 469 500 Not Vaccinated 185 1315 1500 Total 216 1784 2000
The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15 different farms in a region. y 7.5 404 16.6 702 10.9 507 6.5 385 10 464 12.1 495 8.6 400 10.2 503 7.5 310 268 6.2 280 12 596 17.1 711 14.1 551 6.1 242
Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?
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please do i) and ii)

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