A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe, and North America. The following data resulted: Size of Car Small Mid-size Total Region of Manufacture Asia 92 54 2 148 Europe 19 17 40 North America Total 26 53 36 115 137 124 42 1. Among the cars manufactured in Asia, what is the probability of selecting a large car? 2. What is the probability of selecting a car that is mid-size or manufactured in North America? 3. What is the probability of selecting a car manufactured in Europe? If three cars are selected at random and without replacement, what is the probability they are all small cars manufactured in Asia? 4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.

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A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe,
and North America. The following data resulted:
Size of Car
Small
Mid-size
Total
Region of
Manufacture
Asia
92
54
2
148
Europe
19
17
40
North America
Total
26
53
36
115
137
124
42
1. Among the cars manufactured in Asia, what is the probability of selecting a large car?
2. What is the probability of selecting a car that is mid-size or manufactured in North America?
3. What is the probability of selecting a car manufactured in Europe?
If three cars are selected at random and without replacement, what is the probability they are all small cars
manufactured in Asia?
4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.
Transcribed Image Text:A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe, and North America. The following data resulted: Size of Car Small Mid-size Total Region of Manufacture Asia 92 54 2 148 Europe 19 17 40 North America Total 26 53 36 115 137 124 42 1. Among the cars manufactured in Asia, what is the probability of selecting a large car? 2. What is the probability of selecting a car that is mid-size or manufactured in North America? 3. What is the probability of selecting a car manufactured in Europe? If three cars are selected at random and without replacement, what is the probability they are all small cars manufactured in Asia? 4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.
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