Explanation Given Information: The table shows crashworthiness ratings for several categories of motor vehicles where X is the crash-test rating of a small car, Y is the crash test rating for a small SUV, and so on. Overall Frontal Crash Test Rating Number Tested 3 (Good) 2 (Acceptable) 1 (Marginal) 0 (Poor) Small Cars, X 16 1 11 2 2 Small SUVs, Y 10 1 4 4 1 Medium SUVs, Z 15 3 5 3 4 Passenger Vans, U 13 3 0 3 7 Midsize Cars, V 15 3 5 0 7 Large Cars, W 19 9 5 3 2 Formula Used: If there is a random variable X which has values x 1 , x 2 , ... , then the probability distribution of the event includes the probabilities such as X = x 1 , X = x 2 ... and the sum of these probabilities is always 1 . For the random variable X, P ( X = x ) represent the random variable X with the particular value of x. Calculation: Consider the frequency distributions for Y, The number of small SUVs, Y with crash rating 3 is 1 . The number of small SUVs, Y with crash rating 2 are 4 . The number of small SUVs, Y with crash rating 1 are 4 . The number of small SUVs, Y with crash rating 0 is 1 . Evaluate the probabilities of each value of y, by dividing each frequency by the total number of cars tested in the category. Since the number of small SUVs, Y tested is 10 , therefore the probability of each frequency is divided by 10 . Determine the probability when y = 3 as, P ( Y = 3 ) = 1 10 P ( Y = 3 ) = 0.1 Determine the probability when y = 2 as, P ( Y = 2 ) = 4 10 P ( Y = 2 ) = 0.4 Determine the probability when y = 1 as, P ( Y = 1 ) = 4 10 P ( Y = 1 ) = 0.4 Determine the probability when y = 0 as, P ( Y = 0 ) = 1 10 P ( Y = 0 ) = 0.1 The frequency and probability distribution of the variable Y , is shown in the table, y 3 2 1 0 Frequency 1 4 4 1 P ( Y = y ) 0.1 0.4 0.4 0.1 Evaluate the probability P ( Y ≥ 2 ) = P ( { 2 , 3 } ) , P ( Y = 2 ) = 0

Finite Mathematics and Application Calculus (Looseleaf) - Text Only

7th Edition

ISBN: 9781337291484

Author: Waner

Publisher: Cengage

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

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Chapter 9.1, Problem 45E

To determine

To calculate: The values of P(Y≥2) and P(Z≥2) and compare the values. Also, interpret the result about SUVs.

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Chapter 9.1, Problem 44E

Chapter 9.1, Problem 46E

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Chapter 9 Solutions

Finite Mathematics and Application Calculus (Looseleaf) - Text Only

Ch. 9.1 - In Exercises 110, classify the random variable X...Ch. 9.1 - Prob. 2E Ch. 9.1 - In Exercises 110, classify the random variable X...Ch. 9.1 - In Exercises 110, classify the random variable X...Ch. 9.1 - Prob. 5E Ch. 9.1 - In Exercises 110, classify the random variable X...Ch. 9.1 - Prob. 7E Ch. 9.1 - In Exercises 110, classify the random variable X...Ch. 9.1 - In Exercises 110, classify the random variable X...Ch. 9.1 - In Exercises 110, classify the random variable X...

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - In Exercises 1118, (a) say what an appropriate...Ch. 9.1 - Prob. 16E Ch. 9.1 - In Exercises 1118, (a) say what an appropriate...Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - In Exercises 2128, give the probability...Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - 2010 Income Distribution up to $100,000 The...Ch. 9.1 - 2003 Income Distribution up to $100,000 Repeat...Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Housing Prices Going into the Real Estate Bubble...Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Car Purchases To persuade his parents to...Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Prob. 54E Ch. 9.1 - Prob. 55E Ch. 9.1 - Prob. 56E Ch. 9.1 - Prob. 57E Ch. 9.1 - Prob. 58E Ch. 9.1 - Prob. 59E Ch. 9.1 - Prob. 60E Ch. 9.1 - Prob. 61E Ch. 9.1 - Prob. 62E Ch. 9.1 - Prob. 63E Ch. 9.1 - Prob. 64E Ch. 9.2 - In Exercises 110, you are performing five...Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Alien Retirement The probability that a randomly...Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Manufacturing Your manufacturing plant produces...Ch. 9.2 - Manufacturing Compute the probability distribution...Ch. 9.2 - Prob. 31E Ch. 9.2 - Other Teenage Pastimes According to the study...Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Triple Redundancy To ensure reliable performance...Ch. 9.2 - IQ Scores Mensa is a club for people who have high...Ch. 9.2 - Standardized Tests Assume that on a standardized...Ch. 9.2 - Prob. 38E Ch. 9.2 - Product Testing It is known that 43% of all the...Ch. 9.2 - Product Testing It is known that 65% of all the...Ch. 9.2 - Quality Control A manufacturer of light bulbs...Ch. 9.2 - Prob. 42E Ch. 9.2 - Prob. 43E Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Prob. 48E Ch. 9.2 - Prob. 49E Ch. 9.2 - Prob. 50E Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.2 - Prob. 54E Ch. 9.3 - Prob. 1E Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - 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Prob. 13E Ch. 9.4 - Prob. 14E Ch. 9.4 - Prob. 15E Ch. 9.4 - Prob. 16E Ch. 9.4 - Prob. 17E Ch. 9.4 - Prob. 18E Ch. 9.4 - Prob. 19E Ch. 9.4 - In Exercises 1524, calculate the expected value,...Ch. 9.4 - Prob. 21E Ch. 9.4 - In Exercises 1524, calculate the expected value,...Ch. 9.4 - In Exercises 1524, calculate the expected value,...Ch. 9.4 - In Exercises 1524, calculate the expected value,...Ch. 9.4 - Prob. 25E Ch. 9.4 - Prob. 26E Ch. 9.4 - Unemployment Following is a sample of unemployment...Ch. 9.4 - Prob. 28E Ch. 9.4 - Prob. 29E Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9.4 - Prob. 32E Ch. 9.4 - Prob. 33E Ch. 9.4 - Prob. 34E Ch. 9.4 - 2010 Income Distribution up to $100,000 The...Ch. 9.4 - Prob. 36E Ch. 9.4 - Hispanic Employment: Male The following table...Ch. 9.4 - Prob. 38E Ch. 9.4 - Prob. 39E Ch. 9.4 - Prob. 40E Ch. 9.4 - Prob. 41E Ch. 9.4 - Prob. 42E Ch. 9.4 - Prob. 43E Ch. 9.4 - Prob. 44E Ch. 9.4 - Prob. 45E Ch. 9.4 - Prob. 46E Ch. 9.4 - Prob. 47E Ch. 9.4 - Prob. 48E Ch. 9.4 - Prob. 49E Ch. 9.4 - Distribution of Wealth If we model after-tax...Ch. 9.4 - Prob. 51E Ch. 9.4 - Prob. 52E Ch. 9.4 - Prob. 53E Ch. 9.4 - Prob. 54E Ch. 9.4 - Prob. 55E Ch. 9.4 - Prob. 56E Ch. 9.4 - Prob. 57E Ch. 9.4 - Prob. 58E Ch. 9.4 - Prob. 59E Ch. 9.4 - Prob. 60E Ch. 9.4 - Prob. 61E Ch. 9.4 - Prob. 62E Ch. 9.4 - Prob. 63E Ch. 9.4 - Prob. 64E Ch. 9.4 - Prob. 65E Ch. 9.4 - Prob. 66E Ch. 9.4 - Prob. 67E Ch. 9.4 - Prob. 68E Ch. 9.4 - Prob. 69E Ch. 9.4 - Prob. 70E Ch. 9.4 - Prob. 71E Ch. 9.4 - Prob. 72E Ch. 9.4 - Prob. 73E Ch. 9.4 - Prob. 74E Ch. 9.4 - Prob. 75E Ch. 9.4 - Prob. 76E Ch. 9.4 - Prob. 77E Ch. 9.4 - Prob. 78E Ch. 9.4 - Prob. 79E Ch. 9.4 - Prob. 80E Ch. 9.5 - Prob. 1E Ch. 9.5 - Prob. 2E Ch. 9.5 - Prob. 3E Ch. 9.5 - Prob. 4E Ch. 9.5 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - In Exercises 18, Z is the standard normal...Ch. 9.5 - In Exercises 18, Z is the standard normal...Ch. 9.5 - Prob. 9E Ch. 9.5 - Prob. 10E Ch. 9.5 - Prob. 11E Ch. 9.5 - Prob. 12E Ch. 9.5 - Prob. 13E Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Prob. 17E Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Prob. 21E Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Prob. 26E Ch. 9.5 - SAT Scores SAT test scores are normally...Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 30E Ch. 9.5 - IQ Scores IQ scores (as measured by the...Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Prob. 35E Ch. 9.5 - Prob. 36E Ch. 9.5 - Baseball The mean batting average in major league...Ch. 9.5 - Prob. 38E Ch. 9.5 - Marketing Your pickle company rates its pickles on...Ch. 9.5 - Prob. 40E Ch. 9.5 - Prob. 41E Ch. 9.5 - Prob. 42E Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 44E Ch. 9.5 - Prob. 45E Ch. 9.5 - Prob. 46E Ch. 9.5 - Prob. 47E Ch. 9.5 - Prob. 48E Ch. 9.5 - Prob. 49E Ch. 9.5 - Prob. 50E Ch. 9.5 - Prob. 51E Ch. 9.5 - Prob. 52E Ch. 9.5 - Prob. 53E Ch. 9.5 - Prob. 54E Ch. 9.5 - Prob. 55E Ch. 9.5 - Prob. 56E Ch. 9.5 - Prob. 57E Ch. 9.5 - Prob. 58E Ch. 9.5 - Prob. 59E Ch. 9.5 - Prob. 60E Ch. 9.5 - Prob. 61E Ch. 9.5 - Prob. 62E Ch. 9.5 - Prob. 63E Ch. 9.5 - Prob. 64E Ch. 9.5 - Prob. 65E Ch. 9.5 - Prob. 66E Ch. 9.5 - Prob. 67E Ch. 9.5 - Prob. 68E Ch. 9.5 - Prob. 69E Ch. 9.5 - Prob. 70E Ch. 9.5 - Prob. 71E Ch. 9.5 - Prob. 72E Ch. 9.5 - Prob. 73E Ch. 9.5 - Prob. 74E Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Prob. 3RE Ch. 9 - Prob. 4RE Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Prob. 11RE Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Prob. 14RE Ch. 9 - A die is constructed in such a way that rolling a...Ch. 9 - Prob. 16RE Ch. 9 - Prob. 17RE Ch. 9 - Prob. 18RE Ch. 9 - Prob. 19RE Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - Prob. 24RE Ch. 9 - Prob. 25RE Ch. 9 - Prob. 26RE Ch. 9 - Prob. 27RE Ch. 9 - Prob. 28RE Ch. 9 - Prob. 29RE Ch. 9 - Prob. 30RE Ch. 9 - Prob. 31RE Ch. 9 - Prob. 32RE Ch. 9 - Prob. 33RE Ch. 9 - Prob. 34RE Ch. 9 - Prob. 35RE Ch. 9 - Prob. 36RE Ch. 9 - Prob. 37RE Ch. 9 - Prob. 38RE Ch. 9 - Prob. 39RE Ch. 9 - Prob. 40RE Ch. 9 - Prob. 41RE Ch. 9 - Prob. 42RE Ch. 9 - Prob. 43RE Ch. 9 - Prob. 44RE Ch. 9 - Prob. 45RE Ch. 9 - Prob. 46RE Ch. 9 - Mac vs. Windows On average, 5% of all hits by Mac...Ch. 9 - Prob. 48RE Ch. 9 - Prob. 49RE Ch. 9 - Prob. 50RE Ch. 9 - Prob. 51RE Ch. 9 - Prob. 52RE Ch. 9 - Prob. 53RE Ch. 9 - Prob. 54RE Ch. 9 - Prob. 55RE Ch. 9 - Prob. 56RE Ch. 9 - Prob. 1CS Ch. 9 - Prob. 2CS Ch. 9 - Prob. 3CS Ch. 9 - Prob. 4CS Ch. 9 - Prob. 5CS Ch. 9 - Prob. 6CS Ch. 9 - Prob. 7CS Ch. 9 - Prob. 8CS

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The values of P ( Y ≥ 2 ) and P ( Z ≥ 2 ) and compare the values. Also, interpret the result about SUVs.

Solution Summary: The author calculates the values of P(Yge 2) and 0.5333 for SUVs. The table shows crashworthiness ratings for several categories of motor vehicles.

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To calculate: The values of P(Y≥2) and P(Z≥2) and compare the values. Also, interpret the result about SUVs.

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Chapter 9 Solutions