GED: In a certain high school, the probability that a student drops out is 0.05, and the probability that a dropout gets a high school equivalency diploma (GED) is 0.15. What is the probability that a randomly selected student gets a GED? Round your answer to four decimal places, if necessary.
The probability that the randomly selected student gets a GED is _______
Given that in a certain high school, the probability that a student drops out is 0.05, and the probability that a dropout gets a high school equivalency diploma (GED) is 0.15. We have to find the probability that a randomly selected student gets a GED.
Thus, here, Probability that a student drops out, P(drops out) = 0.05. -------(1)
Now, the probability that the student gets GED given that the student is a dropout, P(gets GED|drops out) = 0.15 . -----------(2)
Thus, from the multiplication rule, we get,
Probability that a student gets a GED = P(drops out) * P(gets GED|drops out) = 0.05*0.15 = 0.0075 . [From (1) and (2)]
Thus, the probability that a randomly selected student gets a GED = 0.0075 .
The probability that the randomly selected student gets a GED is _______
Question 8 (1 point) d In a certain high school, the probability that a student drops out is 0.09, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.27. What is Write only a number as your answer. Round to four decimal places (for example: 0.2711). Do not write as a percentage.
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