1. Consider a ferry that can carry both buses and cars across a waterway. Each trip costs theowner approximately $12. The fee for cars is $2 and the fee for buses is $7. Let X and Ydenote the number of buses and cars, respectively, carried on a given trip. The jointdistribution of X and Y is given byY/X120.010.030.010.030.070.08Y20.030.060.060.070.130.070.120.030.040.080.020.06D. Find E(X), E(Y), Var(X), Var(Y), a(x), o(y), marginal density for x and yE. Are X and Y independent, show your solutionF. Find the correlation between X and Y variable and interpret your findings, show yoursolution.5,

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Answered: 1. Consider a ferry that can carry both…

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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#23).
Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the last five years, sales of the company's flagship product - the Wizer Anonymizer (the WA) - have been 45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so. Ms. Jacobsen believes that the distribution of the WA's sales is normal with a standard deviation of 1500 units. If she were asked to make a forecast of next year's sales to upper management, what is the likelihood that she would be correct if she predicts sales between 43000 and 46000?
The data in the following table relate grams plant dry weight (Y) to percent soil organic matter (X1) and kilograms of supplemental soil nitrogen added per 1000 square meters (X2). X1 X2 2.6 Y 78.5 7 74.3 1 2.9 104.3 | 11 | 5.6 87.6 95.9 11 3.1 7 5.2 109.2 | 11 5.5 102.7 3 7.1 Compute the sum of squares of errors e'e. ao- N
1. Consider a ferry that can carry both buses and cars across a waterway. Each trip costs the owner approximately $12. The fee for cars is $2 and the fee for buses is $7. Let X and Y denote the number of buses and cars, respectively, carried on a given trip. The joint distribution of X and Y is given by Y/X 1 2 0.01 0.03 0.01 1 0.03 0.07 0.08 Y 0.03 0.06 0.06 0.07 0.13 0.07 0.12 0.03 0.04 0.08 0.02 0.06 A. Find the probability that there is exactly two cars and exactly one bus during a trip? B. What is the probability that there is almost one car and at most one bus during a trip? C. What is the probability that there is exactly one car during a trip? Exactly one bus?
Round off your final answer to four decimal places. Indicate units
The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width of 0.20. Does the frequency distribution appear to be roughly a normal distribution?
The following table lists highway miles (in MPG) and weight (in pounds) for a variety of cars, foreign and domestic (same data as before). CAR HWY WEIGHT Chev. Cavalier 31 2795 Lincoln Cont. 24 3930 Mitsubishi Eclipse 33 3235 Olds. Aurora 26 3995 Pontiac Grand Am 30 3115 Chev. Corvette 28 3220 BMW 3-Series 27 3225 Ford Crown Victoria 24 3985 Hyundai Accent If we let x be the weight and y be the Highway MPG, and we used Excel to compute the equation of the Least- 37 2290 Square regression line (which comes out to be y = -0.00672'x + 51.1156) as well as the correlation coefficient (which comes out to be -0.89). Then you used that equation to predict that the Highway Miles for a car that weighs just 1000 pounds would be 44.4 mpg. I think this prediction is accurate because the person used Excel for the computation. O I think this prediction is not accurate since a car that weighs 1000 pounds is not part of the original data list. O Ithink this prediction is not accurate because the person…
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.)
Which of the following bar graphs best represent the trend on the relative resolution rate between the different liquids and the particle sizes of the antacid tablets/chalks?
Compute this measure of central tendency and explain what this means in everyday language. The frequency table is given as: X Frequency proportion percent 0 7 0.35 35% 1 4 0.20 20% 2 3 0.15 15% 3 2 0.10 10% 5 1 0.05 5% 7 1 0.05 5% 8 1 0.05 5% 9 1 0.05 5% Total 20 1 100%
Q. 32. Calculate Q, and Qs for the following frequency distribution; Class Interval Frequency c.f. 5--9 10-14 6. 11 15-19 15 26 I 20-24 10 36 25-29 41 II 30-34 4 45 35-39 47 40-44 49 N=49
15. The following stem-and-leaf plot represents the distribution of weights for a group of people. Leaves e 911367 146778 12223444 112677 1255 1112445 111125678 101268 115 67 supprsed to vead ths? Key, is no we ore cre nust of ne stems 1 ? There Step 1. What is the weight of the lightest person in the group?

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