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In a certain high school, the probability that a student drops out is 0.07 , and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.25 . What is the probability that a randomly selected student gets a GED?

Respuesta :

krlosdark12

Answer:

0.0175 or 1.75%

Step-by-step explanation:

The probability of the two events happen at once is equal to the product of the individual probabilities, so:

[tex]P(dout)=0.07[/tex]

[tex]P(GED)=0.25[/tex]

[tex]P(dout\_and\_GED)=P(dout)*P(GED)\\P(dout\_and\_GED)=0.07*0.25=0.0175[/tex]

the probability is 1.75%

Using probability concepts and the information given, it is found that there is a 0.0175 = 1.75% probability that a randomly selected student gets a GED.

The percentages given are:

  • 7% of the students drop out, and of those, 25% get a GED.
  • 100 - 7 = 93% of the students do not drop hence, meaning of those, 0%, that is, none need to get a GED, as they will have the graduation diploma.

Hence:

[tex]p = 0.07(0.25) + 0.93(0) = 0.0175[/tex]

There is a 0.0175 = 1.75% probability that a randomly selected student gets a GED.

A similar problem also involving probabilities. is given at https://brainly.com/question/14398287