10% of the downtown residents of a town in the Plains live in mobile homes. Based on data from past tornadoes, if a tornado goes through downtown and a person lives in a mobile home, there is a 0.3 probability the person will die as a result of the tornado. However, if a tornado goes through downtown and a person lives somewhere other than a mobile home, there is only a 0.02 probability the person will die as a result of the tornado. What is the probability a person will not live in a mobile home if they do not die as a result of the tornado

The probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

Step-by-step explanation:

Denote the events as follows:

X = a person lives in a mobile home.

Y = a person dies as a result of tornado.

Given:

Compute the value of as follows:

Compute the probability that a person dies as a result of tornado as follows:

Then the probability that a person does not dies as a result of tornado is:

Compute the value of as follows:

Thus, the probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.

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