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Crunching Car Sales Data: Size, Color, and Probability Insights
Chapter 2, Problem 18(choose chapter or problem)
A car dealer sold 750 automobiles last year. The following table categorizes the cars sold by size and color and presents the number of cars in each category. A car is to be chosen at random from the 750 for which the owner will win a lifetime of free oil changes.
a. If the car is small, what is the probability that it is black?
b. If the car is white, what is the probability that it is midsize?
c. If the car is large, what is the probability that it is red?
d. If the car is red, what is the probability that it is large?
e. If the car is not small, what is the probability that it is not grey?
Questions & Answers
QUESTION:
A car dealer sold 750 automobiles last year. The following table categorizes the cars sold by size and color and presents the number of cars in each category. A car is to be chosen at random from the 750 for which the owner will win a lifetime of free oil changes.
a. If the car is small, what is the probability that it is black?
b. If the car is white, what is the probability that it is midsize?
c. If the car is large, what is the probability that it is red?
d. If the car is red, what is the probability that it is large?
e. If the car is not small, what is the probability that it is not grey?
ANSWER:Step 1 of 6
The given table categorizes cars sold by size and color. A car is randomly selected from 750 for which the owner will win a lifetime of free oil changes.
| Size | Color | Total | |||
| White | Black | Red | Grey | ||
| Small | 102 | 71 | 33 | 134 | 340 |
| Midsize | 86 | 63 | 36 | 105 | 290 |
| Large | 26 | 32 | 22 | 40 | 120 |
| Total | 214 | 166 | 91 | 279 | 750 |
We have to find
(a) The probability that a car is black if it is small.
(b) The probability that a car is midsize if it is white in color.
(c) If the car is large, the probability that it is red.
(d) If the car is red, the probability is that it is large.
(e) If the car is not small, the probability that it is not grey.
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Crunching Car Sales Data: Size, Color, and Probability Insights
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Uncover the likelihood of different car combinations by size and color from a dealer's sales data. Learn how to calculate probabilities, from the chances of a small car being black to the odds a non-small car isn't gray. An insightful look into understanding car preferences.