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Chapter 5: Q. T5.3 (page 357)

Which one of the following is true about the events 鈥淥wner has a Chevy鈥� and

鈥淥wner鈥檚 truck has four-wheel drive鈥�?

a. These two events are mutually exclusive and independent.

b. These two events are mutually exclusive, but not independent.

c. These two events are not mutually exclusive, but they are independent.

d. These two events are neither mutually exclusive nor independent.

e. These two events are mutually exclusive, but we do not have enough information to determine if they are independent.

Short Answer

Expert verified

The correct option is :

c. These two events are not mutually exclusive, but they are independent.

Step by step solution

01

Given information

We have to tell about the events 鈥淥wner has a Chevy鈥� and鈥淥wner鈥檚 truck has four-wheel drive".

02

Explanation

We know that

  • A total of 125truck owners were asked what type of truck they had and if it had four-wheel drive.
  • The likelihood of the person owning a Dodge or having a four-wheel drive is high.
  • As there are thirty two drivers that own Chevy four-wheel and all 125own four-wheel which implies that events occur at the same time.

Therefore, the given event is not mutually exclusive but independent i.e. option (c) is correct option.

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