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The probability that there will be a tornado in Tulsa, Oklahoma, each day of the summer depends on the humidity of the day in question. If the air is dry on a given day, there is a 0.5 percent chance of a tornado in Tulsa, if the air is humid on that day. there is a 5 percent chance of a tomado. On July 1, 2019, local news reported that there was 40 percent chance of the air being humid. What is the probability that there was a
tornado in Tulsa on July 1, 2019?
a) 0.003
B) 0.020
C)0.023
D) 0.040
E) 0.060

Respuesta :

We solve this question building the probabilities outcomes.

According to this, it is found that the probability is: 0.023, given by option C.

The probabilities are:

  • 40% = 0.4 probability of the air being humid.
  • If humid, 5% = 0.05 probability of a tornado.
  • 100 - 40 = 60% = 0.6 probability of the air being dry.
  • If dry, 0.5% = 0.005 probability of a tornado.

What is the probability that there was a  tornado in Tulsa on July 1, 2019?

Two possible outcomes:

  • 0.05 of 0.4(humid)
  • 0.005 of 0.6(dry)

Thus:

[tex]p = 0.05\times0.4 + 0.005\times0.6 = 0.023[/tex]

0.023 probability, and the correct answer is given by option C.

A similar problem is given at: https://brainly.com/question/16967884

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