4. A person's commuting time from home to the workplace (X) and from the workplace to home (Y) is studied for 100days. Assume that the commuting time each way can be approximated as 30, 40, or 50 minutes. The following tableshows the number of days for each combination of X and Y.X30405030102025Y4053045021a) Plot the joint PMF of X and Y.b) Plot the marginal PMF of X and Y.c) Considering 30 minutes commuting time from home to workplace (i.e. X= 30), calculate the conditional PMFthat Yis at most 40 minutes.d) What is the probability that the commuting time in each direction on a particular day will be at least 40minutes?e) Determine Cov(X, Y) and the corresponding correlation coefficientPx.yCov(X,Y)Recall: Cov(X,Y) = E(XY) – µx²µy²;Px.yЕ(XY) — Zail xy хурху(х,у)og oy

As per bartleby guidlines, for more than three subparts, first three needs to be solved and others…

4. A person's commuting time from home to the workplace (X) and from the workplace to home (Y) is studied for 100 days. Assume that the commuting time each way can be approximated as 30, 40, or 50 minutes. The following table shows the number of days for each combination of X and Y. X 30 40 50 30 10 25 Y 40 5 4 50 3 1 a) Plot the joint PMF of X and Y. 20 30 2.

4. A person's commuting time from home to the workplace (X) and from the workplace to home (Y) is studied for 100 days. Assume that the commuting time each way can be approximated as 30, 40, or 50 minutes. The following table shows the number of days for each combination of X and Y. X 30 40 50 30 10 25 Y 40 5 4 50 3 1 a) Plot the joint PMF of X and Y. 20 30 2.

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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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.5 8.5 7 3.7 2.7 2.5 2.6 0.8 yy 13.8 11.1 10.1 7.2 6.4 6.1 6.1 4.8 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation ˆy=0.85x+4.05.y^=0.85x+4.05. Use this equation to answer the following.A) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 3.3 thousand automatic weapons?Answer = Round to 3 decimal places.
Age, x 16 25 39 45 49 64 70 29 57 22 Systolic blood pressure 109 122 143 132 199 185 199 130 175 118 4. If x is 30 , what would you expect y (in mm ??) to be?
IS YOUR DATA BASELINE DATA AUTOCORRELATED. behavior 2 4 6 8 10 o D 2 4 A time ° 6 8 0
Part 1 of 4 Does the length of a surgery patient's stay in the hospital depend on the length of time the operation took? The table below gives the operative time (in hours) and the length of the hospital stay (in days) for 10 patients. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Operative Time (x) Length of Hospital Stay (y) 5 13 13 12 12 14 17 4 12 3 12 7 15 3 x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3 y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7 Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. Ho:p = test.) (So we will be performing a two-tailed O Rost to forum
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.5 8.2 6.9 3.3 2.8 2.2 2.6 0.6 yy 13.7 10.9 10.2 7 6.1 5.8 6.3 4.2 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.87x+3.9.y=0.87x+3.9. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 2.5 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 5.2 thousand automatic weapons?Answer = Round to 3 decimal places. Submit QuestionQuestion 17
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.5 7.2 3.6 2.6 2.3 2.1 0.4 yy 13.8 11.4 9.9 7.1 5.9 5.8 5.8 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.02.y=0.84x+4.02. Use this equation to answer the following;Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 4.9 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 10.3 thousand automatic weapons?Answer = Round to 3 decimal places.
Two refreshment stands kept track of the number of cases of soda they sold weekly during the summer time, as shown on the dot plots below. Stand A Stand B 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 Number of Cases Sold Number of Cases Sold What is the difference between the modes of the number of cases of soda sold? OA. 11 ов. 2 ос. 5 OD. 16
4.) A person's muscle mass is expected to decrease with age. To explore this relationship, a researcher randomly selected 10 persons from ages 40 to 79 years old and measured their muscle mass (unit). The result is as follows: X (age) Y (muscle mass) 71 64 43 67 56 73 68 56 76 65 82 91 100 68 87 73 78 80 65 84 Based on the given data, do the following: a) Plot the scatter diagram of the given data. [3pts] b) Obtain the regression line equation. [4pts] c) Estimate the muscle mass when age of the person is 60 years old. [3pts] 5.) Recognize how each shape has transformed. [2pts each] a.) b.) c.)
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?
a) One of the following data is obtained from a linear function. Which one? Explain why. 20 25 30 40 1 4 8. 16 g(x) 43 61 67 73 85 h(t) 47 36 25 14 3 b) State the formula of the linear equation from part a.
he table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.5 7.2 3.4 2.5 2.7 2.1 0.5 yy 13.7 11 10.2 7.2 5.9 6.5 5.6 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.84x+4.09.y=0.84x+4.09. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 9 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 2.9 thousand automatic weapons?Answer = Round to 3 decimal places. Submit QuestionQuestion 18